Greatest Common Factor of 7868/70, 6284/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7868/70, 6284/364

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 7868/70,6284/364

Given fractions are 7868/70,6284/364

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 7868,6284

Greatest Common Factor of Numerators i.e. GCF of 7868,6284 is 4 .

LCM of Denominators means LCM of 70,364 as per the given fractions.

LCM of 70,364 is 1820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7868,6284

GCF of Fractions 7868/70,6284/364 is 4/1820

2 7868, 6284
2 3934, 3142
1967, 1571

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

Greatest Common Factor of 7868,6284 By Matching Biggest Common Factor Method

Greatest Common Factor of 7868,6284 By Matching Biggest Common Factor Method

Factors of 7868

List of positive integer factors of 7868 that divides 7868 without a remainder.

1,2,4,7,14,28,281,562,1124,1967,3934,7868

Factors of 6284

List of positive integer factors of 6284 that divides 6284 without a remainder.

1,2,4,1571,3142,6284

Greatest Common Factor

We found the factors 7868,6284 . The biggest common factor number is the GCF number.
So the greatest common factor 7868,6284 is 4.

Lets's calculate LCM of 70,364

2 70, 364
7 35, 182
5, 26

∴ So the LCM of the given numbers is 2 x 7 x 5 x 26 = 1820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1820

Therefore, the GCF of Fractions 7868/70,6284/364 is 4/1820

Least Common Multiple of 70,364 with GCF Formula

Least Common Multiple of 70,364 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 70,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,364) = 14

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

GCF(70,364) x common factors =14 x 1 = 14

LCM(70,364) = ( 70 × 364 ) / 14

LCM(70,364) = 25480 / 14

LCM(70,364) = 1820


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 7868/70, 6284/364

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 7868/70, 6284/364?

Answer: GCF of Numerators as per given numbers 7868/70, 6284/364 is

GCF of Numerators i.e. for 7868,6284 is 4

LCM of denominators i.e. for 70,364 is 1820.

Thus, GCF of Fractions is 4/1820.Finally, GCF of Fractions for 7868/70, 6284/364 is 4/1820.