Greatest Common Factor of 7961/595, 3420/8748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7961/595, 3420/8748

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 7961/595,3420/8748

Given fractions are 7961/595,3420/8748

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 7961,3420

Greatest Common Factor of Numerators i.e. GCF of 7961,3420 is 19 .

LCM of Denominators means LCM of 595,8748 as per the given fractions.

LCM of 595,8748 is 5205060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7961,3420

GCF of Fractions 7961/595,3420/8748 is 19/5205060

19 7961, 3420
419, 180

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 7961,3420 By Matching Biggest Common Factor Method

Greatest Common Factor of 7961,3420 By Matching Biggest Common Factor Method

Factors of 7961

List of positive integer factors of 7961 that divides 7961 without a remainder.

1,19,419,7961

Factors of 3420

List of positive integer factors of 3420 that divides 3420 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,19,20,30,36,38,45,57,60,76,90,95,114,171,180,190,228,285,342,380,570,684,855,1140,1710,3420

Greatest Common Factor

We found the factors 7961,3420 . The biggest common factor number is the GCF number.
So the greatest common factor 7961,3420 is 19.

Lets's calculate LCM of 595,8748

Given numbers has no common factors except 1. So, there LCM is their product i.e 5205060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/5205060

Therefore, the GCF of Fractions 7961/595,3420/8748 is 19/5205060

Least Common Multiple of 595,8748 with GCF Formula

Least Common Multiple of 595,8748 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 595,8748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(595,8748) = 1

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

GCF(595,8748) x common factors =1 x 1 = 1

LCM(595,8748) = ( 595 × 8748 ) / 1

LCM(595,8748) = 5205060 / 1

LCM(595,8748) = 5205060


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 7961/595, 3420/8748

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 7961/595, 3420/8748?

Answer: GCF of Numerators as per given numbers 7961/595, 3420/8748 is

GCF of Numerators i.e. for 7961,3420 is 19

LCM of denominators i.e. for 595,8748 is 5205060.

Thus, GCF of Fractions is 19/5205060.Finally, GCF of Fractions for 7961/595, 3420/8748 is 19/5205060.