Greatest Common Factor of 5266/58, 7672/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5266/58, 7672/129

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 5266/58,7672/129

Given fractions are 5266/58,7672/129

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 5266,7672

Greatest Common Factor of Numerators i.e. GCF of 5266,7672 is 2 .

LCM of Denominators means LCM of 58,129 as per the given fractions.

LCM of 58,129 is 7482 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5266,7672

GCF of Fractions 5266/58,7672/129 is 2/7482

2 5266, 7672
2633, 3836

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5266,7672 By Matching Biggest Common Factor Method

Greatest Common Factor of 5266,7672 By Matching Biggest Common Factor Method

Factors of 5266

List of positive integer factors of 5266 that divides 5266 without a remainder.

1,2,2633,5266

Factors of 7672

List of positive integer factors of 7672 that divides 7672 without a remainder.

1,2,4,7,8,14,28,56,137,274,548,959,1096,1918,3836,7672

Greatest Common Factor

We found the factors 5266,7672 . The biggest common factor number is the GCF number.
So the greatest common factor 5266,7672 is 2.

Lets's calculate LCM of 58,129

Given numbers has no common factors except 1. So, there LCM is their product i.e 7482

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7482

Therefore, the GCF of Fractions 5266/58,7672/129 is 2/7482

Least Common Multiple of 58,129 with GCF Formula

Least Common Multiple of 58,129 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 58,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,129) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(58,129) x common factors =1 x 1 = 1

LCM(58,129) = ( 58 × 129 ) / 1

LCM(58,129) = 7482 / 1

LCM(58,129) = 7482


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5266/58, 7672/129

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 5266/58, 7672/129?

Answer: GCF of Numerators as per given numbers 5266/58, 7672/129 is

GCF of Numerators i.e. for 5266,7672 is 2

LCM of denominators i.e. for 58,129 is 7482.

Thus, GCF of Fractions is 2/7482.Finally, GCF of Fractions for 5266/58, 7672/129 is 2/7482.