Greatest Common Factor of 8676/371, 3548/4370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8676/371, 3548/4370

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 8676/371,3548/4370

Given fractions are 8676/371,3548/4370

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 8676,3548

Greatest Common Factor of Numerators i.e. GCF of 8676,3548 is 4 .

LCM of Denominators means LCM of 371,4370 as per the given fractions.

LCM of 371,4370 is 1621270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8676,3548

GCF of Fractions 8676/371,3548/4370 is 4/1621270

2 8676, 3548
2 4338, 1774
2169, 887

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

Greatest Common Factor of 8676,3548 By Matching Biggest Common Factor Method

Greatest Common Factor of 8676,3548 By Matching Biggest Common Factor Method

Factors of 8676

List of positive integer factors of 8676 that divides 8676 without a remainder.

1,2,3,4,6,9,12,18,36,241,482,723,964,1446,2169,2892,4338,8676

Factors of 3548

List of positive integer factors of 3548 that divides 3548 without a remainder.

1,2,4,887,1774,3548

Greatest Common Factor

We found the factors 8676,3548 . The biggest common factor number is the GCF number.
So the greatest common factor 8676,3548 is 4.

Lets's calculate LCM of 371,4370

Given numbers has no common factors except 1. So, there LCM is their product i.e 1621270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1621270

Therefore, the GCF of Fractions 8676/371,3548/4370 is 4/1621270

Least Common Multiple of 371,4370 with GCF Formula

Least Common Multiple of 371,4370 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 371,4370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(371,4370) = 1

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

GCF(371,4370) x common factors =1 x 1 = 1

LCM(371,4370) = ( 371 × 4370 ) / 1

LCM(371,4370) = 1621270 / 1

LCM(371,4370) = 1621270


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 8676/371, 3548/4370

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 8676/371, 3548/4370?

Answer: GCF of Numerators as per given numbers 8676/371, 3548/4370 is

GCF of Numerators i.e. for 8676,3548 is 4

LCM of denominators i.e. for 371,4370 is 1621270.

Thus, GCF of Fractions is 4/1621270.Finally, GCF of Fractions for 8676/371, 3548/4370 is 4/1621270.