Greatest Common Factor of 6380/428, 8920/8186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6380/428, 8920/8186

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 6380/428,8920/8186

Given fractions are 6380/428,8920/8186

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 6380,8920

Greatest Common Factor of Numerators i.e. GCF of 6380,8920 is 20 .

LCM of Denominators means LCM of 428,8186 as per the given fractions.

LCM of 428,8186 is 1751804 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6380,8920

GCF of Fractions 6380/428,8920/8186 is 20/1751804

2 6380, 8920
2 3190, 4460
5 1595, 2230
319, 446

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 6380,8920 By Matching Biggest Common Factor Method

Greatest Common Factor of 6380,8920 By Matching Biggest Common Factor Method

Factors of 6380

List of positive integer factors of 6380 that divides 6380 without a remainder.

1,2,4,5,10,11,20,22,29,44,55,58,110,116,145,220,290,319,580,638,1276,1595,3190,6380

Factors of 8920

List of positive integer factors of 8920 that divides 8920 without a remainder.

1,2,4,5,8,10,20,40,223,446,892,1115,1784,2230,4460,8920

Greatest Common Factor

We found the factors 6380,8920 . The biggest common factor number is the GCF number.
So the greatest common factor 6380,8920 is 20.

Lets's calculate LCM of 428,8186

2 428, 8186
214, 4093

∴ So the LCM of the given numbers is 2 x 214 x 4093 = 1751804

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/1751804

Therefore, the GCF of Fractions 6380/428,8920/8186 is 20/1751804

Least Common Multiple of 428,8186 with GCF Formula

Least Common Multiple of 428,8186 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 428,8186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,8186) = 2

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

GCF(428,8186) x common factors =2 x 1 = 2

LCM(428,8186) = ( 428 × 8186 ) / 2

LCM(428,8186) = 3503608 / 2

LCM(428,8186) = 1751804


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 6380/428, 8920/8186

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 6380/428, 8920/8186?

Answer: GCF of Numerators as per given numbers 6380/428, 8920/8186 is

GCF of Numerators i.e. for 6380,8920 is 20

LCM of denominators i.e. for 428,8186 is 1751804.

Thus, GCF of Fractions is 20/1751804.Finally, GCF of Fractions for 6380/428, 8920/8186 is 20/1751804.