Greatest Common Factor of 8407/684, 6258/6974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8407/684, 6258/6974

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 8407/684,6258/6974

Given fractions are 8407/684,6258/6974

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 8407,6258

Greatest Common Factor of Numerators i.e. GCF of 8407,6258 is 7 .

LCM of Denominators means LCM of 684,6974 as per the given fractions.

LCM of 684,6974 is 2385108 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8407,6258

GCF of Fractions 8407/684,6258/6974 is 7/2385108

7 8407, 6258
1201, 894

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 8407,6258 By Matching Biggest Common Factor Method

Greatest Common Factor of 8407,6258 By Matching Biggest Common Factor Method

Factors of 8407

List of positive integer factors of 8407 that divides 8407 without a remainder.

1,7,1201,8407

Factors of 6258

List of positive integer factors of 6258 that divides 6258 without a remainder.

1,2,3,6,7,14,21,42,149,298,447,894,1043,2086,3129,6258

Greatest Common Factor

We found the factors 8407,6258 . The biggest common factor number is the GCF number.
So the greatest common factor 8407,6258 is 7.

Lets's calculate LCM of 684,6974

2 684, 6974
342, 3487

∴ So the LCM of the given numbers is 2 x 342 x 3487 = 2385108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2385108

Therefore, the GCF of Fractions 8407/684,6258/6974 is 7/2385108

Least Common Multiple of 684,6974 with GCF Formula

Least Common Multiple of 684,6974 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 684,6974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,6974) = 2

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

GCF(684,6974) x common factors =2 x 1 = 2

LCM(684,6974) = ( 684 × 6974 ) / 2

LCM(684,6974) = 4770216 / 2

LCM(684,6974) = 2385108


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 8407/684, 6258/6974

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 8407/684, 6258/6974?

Answer: GCF of Numerators as per given numbers 8407/684, 6258/6974 is

GCF of Numerators i.e. for 8407,6258 is 7

LCM of denominators i.e. for 684,6974 is 2385108.

Thus, GCF of Fractions is 7/2385108.Finally, GCF of Fractions for 8407/684, 6258/6974 is 7/2385108.