GCF and LCM of 7 and 29

The GCF of 7 and 29 is 1. The LCM of 7 and 29 is 203.

7 and 29 share no common factor except 1, so they are coprime (relatively prime). When two numbers are coprime their LCM is simply their product: 7 × 29 = 203.

Method 1: list the factors (GCF)

Factors of 7: 1, 7.
Factors of 29: 1, 29.
Common factors: 1. The greatest of these is 1.

Method 2: prime factorization

7 = 7 (prime)
29 = 29 (prime)

GCF: multiply the prime factors both numbers share: there are none, so the GCF is 1.

LCM: multiply every prime the maximum number of times it appears in either number: 7 × 29 = 203.

Method 3: Euclidean algorithm (GCF)

Divide the larger number by the smaller and repeat with the remainder until it is 0. The last non-zero remainder is the GCF.

  1. 29 = 4 × 7 + 1
  2. 7 = 7 × 1 + 0

The last non-zero remainder is 1, so GCF(7, 29) = 1.

LCM by listing multiples

Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, ...
Multiples of 29: 29, 58, 87, 116, 145, 174, 203, 232, ...
The first number in both lists is 203.

Check: GCF × LCM = product

1 × 203 = 203 = 7 × 29. This always holds for two numbers, so you can find the LCM as (7 × 29) ÷ 1 = 203.

Simplifying the fraction 7/29

7/29 is already in lowest terms because the GCF of 7 and 29 is 1.

GCF and LCM of similar pairs

NumbersGCFLCM
2 and 7114
3 and 7121
4 and 7128
5 and 7135
6 and 7142
7 and 8156
2 and 29158
3 and 29187
4 and 291116
5 and 291145
6 and 291174
8 and 291232

See also: factors of 7 · factors of 29.

Different numbers? Use the GCF and LCM calculator (any amount of numbers) or browse all GCF and LCM pairs.