Greatest Common Factor of 3556/687, 7132/928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3556/687, 7132/928

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 3556/687,7132/928

Given fractions are 3556/687,7132/928

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 3556,7132

Greatest Common Factor of Numerators i.e. GCF of 3556,7132 is 4 .

LCM of Denominators means LCM of 687,928 as per the given fractions.

LCM of 687,928 is 637536 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3556,7132

GCF of Fractions 3556/687,7132/928 is 4/637536

2 3556, 7132
2 1778, 3566
889, 1783

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3556,7132 By Matching Biggest Common Factor Method

Greatest Common Factor of 3556,7132 By Matching Biggest Common Factor Method

Factors of 3556

List of positive integer factors of 3556 that divides 3556 without a remainder.

1,2,4,7,14,28,127,254,508,889,1778,3556

Factors of 7132

List of positive integer factors of 7132 that divides 7132 without a remainder.

1,2,4,1783,3566,7132

Greatest Common Factor

We found the factors 3556,7132 . The biggest common factor number is the GCF number.
So the greatest common factor 3556,7132 is 4.

Lets's calculate LCM of 687,928

Given numbers has no common factors except 1. So, there LCM is their product i.e 637536

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/637536

Therefore, the GCF of Fractions 3556/687,7132/928 is 4/637536

Least Common Multiple of 687,928 with GCF Formula

Least Common Multiple of 687,928 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 687,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,928) = 1

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

GCF(687,928) x common factors =1 x 1 = 1

LCM(687,928) = ( 687 × 928 ) / 1

LCM(687,928) = 637536 / 1

LCM(687,928) = 637536


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 3556/687, 7132/928

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 3556/687, 7132/928?

Answer: GCF of Numerators as per given numbers 3556/687, 7132/928 is

GCF of Numerators i.e. for 3556,7132 is 4

LCM of denominators i.e. for 687,928 is 637536.

Thus, GCF of Fractions is 4/637536.Finally, GCF of Fractions for 3556/687, 7132/928 is 4/637536.