Greatest Common Factor of 6380/19, 9428/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6380/19, 9428/715

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 6380/19,9428/715

Given fractions are 6380/19,9428/715

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 6380,9428

Greatest Common Factor of Numerators i.e. GCF of 6380,9428 is 4 .

LCM of Denominators means LCM of 19,715 as per the given fractions.

LCM of 19,715 is 13585 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6380,9428

GCF of Fractions 6380/19,9428/715 is 4/13585

2 6380, 9428
2 3190, 4714
1595, 2357

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

Greatest Common Factor of 6380,9428 By Matching Biggest Common Factor Method

Greatest Common Factor of 6380,9428 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 9428

List of positive integer factors of 9428 that divides 9428 without a remainder.

1,2,4,2357,4714,9428

Greatest Common Factor

We found the factors 6380,9428 . The biggest common factor number is the GCF number.
So the greatest common factor 6380,9428 is 4.

Lets's calculate LCM of 19,715

Given numbers has no common factors except 1. So, there LCM is their product i.e 13585

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/13585

Therefore, the GCF of Fractions 6380/19,9428/715 is 4/13585

Least Common Multiple of 19,715 with GCF Formula

Least Common Multiple of 19,715 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 19,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,715) = 1

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

GCF(19,715) x common factors =1 x 1 = 1

LCM(19,715) = ( 19 × 715 ) / 1

LCM(19,715) = 13585 / 1

LCM(19,715) = 13585


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 6380/19, 9428/715

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 6380/19, 9428/715?

Answer: GCF of Numerators as per given numbers 6380/19, 9428/715 is

GCF of Numerators i.e. for 6380,9428 is 4

LCM of denominators i.e. for 19,715 is 13585.

Thus, GCF of Fractions is 4/13585.Finally, GCF of Fractions for 6380/19, 9428/715 is 4/13585.