Greatest Common Factor of 3542/387, 7764/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3542/387, 7764/674

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 3542/387,7764/674

Given fractions are 3542/387,7764/674

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 3542,7764

Greatest Common Factor of Numerators i.e. GCF of 3542,7764 is 2 .

LCM of Denominators means LCM of 387,674 as per the given fractions.

LCM of 387,674 is 260838 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3542,7764

GCF of Fractions 3542/387,7764/674 is 2/260838

2 3542, 7764
1771, 3882

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

Greatest Common Factor of 3542,7764 By Matching Biggest Common Factor Method

Greatest Common Factor of 3542,7764 By Matching Biggest Common Factor Method

Factors of 3542

List of positive integer factors of 3542 that divides 3542 without a remainder.

1,2,7,11,14,22,23,46,77,154,161,253,322,506,1771,3542

Factors of 7764

List of positive integer factors of 7764 that divides 7764 without a remainder.

1,2,3,4,6,12,647,1294,1941,2588,3882,7764

Greatest Common Factor

We found the factors 3542,7764 . The biggest common factor number is the GCF number.
So the greatest common factor 3542,7764 is 2.

Lets's calculate LCM of 387,674

Given numbers has no common factors except 1. So, there LCM is their product i.e 260838

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/260838

Therefore, the GCF of Fractions 3542/387,7764/674 is 2/260838

Least Common Multiple of 387,674 with GCF Formula

Least Common Multiple of 387,674 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 387,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,674) = 1

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

GCF(387,674) x common factors =1 x 1 = 1

LCM(387,674) = ( 387 × 674 ) / 1

LCM(387,674) = 260838 / 1

LCM(387,674) = 260838


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 3542/387, 7764/674

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 3542/387, 7764/674?

Answer: GCF of Numerators as per given numbers 3542/387, 7764/674 is

GCF of Numerators i.e. for 3542,7764 is 2

LCM of denominators i.e. for 387,674 is 260838.

Thus, GCF of Fractions is 2/260838.Finally, GCF of Fractions for 3542/387, 7764/674 is 2/260838.