Greatest Common Factor of 8374/736, 8682/8676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8374/736, 8682/8676

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 8374/736,8682/8676

Given fractions are 8374/736,8682/8676

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 8374,8682

Greatest Common Factor of Numerators i.e. GCF of 8374,8682 is 2 .

LCM of Denominators means LCM of 736,8676 as per the given fractions.

LCM of 736,8676 is 1596384 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8374,8682

GCF of Fractions 8374/736,8682/8676 is 2/1596384

2 8374, 8682
4187, 4341

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

Greatest Common Factor of 8374,8682 By Matching Biggest Common Factor Method

Greatest Common Factor of 8374,8682 By Matching Biggest Common Factor Method

Factors of 8374

List of positive integer factors of 8374 that divides 8374 without a remainder.

1,2,53,79,106,158,4187,8374

Factors of 8682

List of positive integer factors of 8682 that divides 8682 without a remainder.

1,2,3,6,1447,2894,4341,8682

Greatest Common Factor

We found the factors 8374,8682 . The biggest common factor number is the GCF number.
So the greatest common factor 8374,8682 is 2.

Lets's calculate LCM of 736,8676

2 736, 8676
2 368, 4338
184, 2169

∴ So the LCM of the given numbers is 2 x 2 x 184 x 2169 = 1596384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1596384

Therefore, the GCF of Fractions 8374/736,8682/8676 is 2/1596384

Least Common Multiple of 736,8676 with GCF Formula

Least Common Multiple of 736,8676 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 736,8676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,8676) = 4

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

GCF(736,8676) x common factors =4 x 1 = 4

LCM(736,8676) = ( 736 × 8676 ) / 4

LCM(736,8676) = 6385536 / 4

LCM(736,8676) = 1596384


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 8374/736, 8682/8676

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 8374/736, 8682/8676?

Answer: GCF of Numerators as per given numbers 8374/736, 8682/8676 is

GCF of Numerators i.e. for 8374,8682 is 2

LCM of denominators i.e. for 736,8676 is 1596384.

Thus, GCF of Fractions is 2/1596384.Finally, GCF of Fractions for 8374/736, 8682/8676 is 2/1596384.