Greatest Common Factor of 3718/627, 6162/6532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3718/627, 6162/6532

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 3718/627,6162/6532

Given fractions are 3718/627,6162/6532

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 3718,6162

Greatest Common Factor of Numerators i.e. GCF of 3718,6162 is 26 .

LCM of Denominators means LCM of 627,6532 as per the given fractions.

LCM of 627,6532 is 4095564 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3718,6162

GCF of Fractions 3718/627,6162/6532 is 26/4095564

2 3718, 6162
13 1859, 3081
143, 237

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 3718,6162 By Matching Biggest Common Factor Method

Greatest Common Factor of 3718,6162 By Matching Biggest Common Factor Method

Factors of 3718

List of positive integer factors of 3718 that divides 3718 without a remainder.

1,2,11,13,22,26,143,169,286,338,1859,3718

Factors of 6162

List of positive integer factors of 6162 that divides 6162 without a remainder.

1,2,3,6,13,26,39,78,79,158,237,474,1027,2054,3081,6162

Greatest Common Factor

We found the factors 3718,6162 . The biggest common factor number is the GCF number.
So the greatest common factor 3718,6162 is 26.

Lets's calculate LCM of 627,6532

Given numbers has no common factors except 1. So, there LCM is their product i.e 4095564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/4095564

Therefore, the GCF of Fractions 3718/627,6162/6532 is 26/4095564

Least Common Multiple of 627,6532 with GCF Formula

Least Common Multiple of 627,6532 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 627,6532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(627,6532) = 1

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

GCF(627,6532) x common factors =1 x 1 = 1

LCM(627,6532) = ( 627 × 6532 ) / 1

LCM(627,6532) = 4095564 / 1

LCM(627,6532) = 4095564


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 3718/627, 6162/6532

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 3718/627, 6162/6532?

Answer: GCF of Numerators as per given numbers 3718/627, 6162/6532 is

GCF of Numerators i.e. for 3718,6162 is 26

LCM of denominators i.e. for 627,6532 is 4095564.

Thus, GCF of Fractions is 26/4095564.Finally, GCF of Fractions for 3718/627, 6162/6532 is 26/4095564.