Greatest Common Factor of 534/979, 3675/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 534/979, 3675/682

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 534/979,3675/682

Given fractions are 534/979,3675/682

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 534,3675

Greatest Common Factor of Numerators i.e. GCF of 534,3675 is 3 .

LCM of Denominators means LCM of 979,682 as per the given fractions.

LCM of 979,682 is 60698 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 534,3675

GCF of Fractions 534/979,3675/682 is 3/60698

3 534, 3675
178, 1225

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 534,3675 By Matching Biggest Common Factor Method

Greatest Common Factor of 534,3675 By Matching Biggest Common Factor Method

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Factors of 3675

List of positive integer factors of 3675 that divides 3675 without a remainder.

1,3,5,7,15,21,25,35,49,75,105,147,175,245,525,735,1225,3675

Greatest Common Factor

We found the factors 534,3675 . The biggest common factor number is the GCF number.
So the greatest common factor 534,3675 is 3.

Lets's calculate LCM of 979,682

11 979, 682
89, 62

∴ So the LCM of the given numbers is 11 x 89 x 62 = 60698

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/60698

Therefore, the GCF of Fractions 534/979,3675/682 is 3/60698

Least Common Multiple of 979,682 with GCF Formula

Least Common Multiple of 979,682 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 979,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(979,682) = 11

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

GCF(979,682) x common factors =11 x 1 = 11

LCM(979,682) = ( 979 × 682 ) / 11

LCM(979,682) = 667678 / 11

LCM(979,682) = 60698


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 534/979, 3675/682

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 534/979, 3675/682?

Answer: GCF of Numerators as per given numbers 534/979, 3675/682 is

GCF of Numerators i.e. for 534,3675 is 3

LCM of denominators i.e. for 979,682 is 60698.

Thus, GCF of Fractions is 3/60698.Finally, GCF of Fractions for 534/979, 3675/682 is 3/60698.