Greatest Common Factor of 9560/920, 8420/9142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9560/920, 8420/9142

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 9560/920,8420/9142

Given fractions are 9560/920,8420/9142

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 9560,8420

Greatest Common Factor of Numerators i.e. GCF of 9560,8420 is 20 .

LCM of Denominators means LCM of 920,9142 as per the given fractions.

LCM of 920,9142 is 4205320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9560,8420

GCF of Fractions 9560/920,8420/9142 is 20/4205320

2 9560, 8420
2 4780, 4210
5 2390, 2105
478, 421

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

Greatest Common Factor of 9560,8420 By Matching Biggest Common Factor Method

Greatest Common Factor of 9560,8420 By Matching Biggest Common Factor Method

Factors of 9560

List of positive integer factors of 9560 that divides 9560 without a remainder.

1,2,4,5,8,10,20,40,239,478,956,1195,1912,2390,4780,9560

Factors of 8420

List of positive integer factors of 8420 that divides 8420 without a remainder.

1,2,4,5,10,20,421,842,1684,2105,4210,8420

Greatest Common Factor

We found the factors 9560,8420 . The biggest common factor number is the GCF number.
So the greatest common factor 9560,8420 is 20.

Lets's calculate LCM of 920,9142

2 920, 9142
460, 4571

∴ So the LCM of the given numbers is 2 x 460 x 4571 = 4205320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/4205320

Therefore, the GCF of Fractions 9560/920,8420/9142 is 20/4205320

Least Common Multiple of 920,9142 with GCF Formula

Least Common Multiple of 920,9142 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 920,9142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,9142) = 2

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

GCF(920,9142) x common factors =2 x 1 = 2

LCM(920,9142) = ( 920 × 9142 ) / 2

LCM(920,9142) = 8410640 / 2

LCM(920,9142) = 4205320


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 9560/920, 8420/9142

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 9560/920, 8420/9142?

Answer: GCF of Numerators as per given numbers 9560/920, 8420/9142 is

GCF of Numerators i.e. for 9560,8420 is 20

LCM of denominators i.e. for 920,9142 is 4205320.

Thus, GCF of Fractions is 20/4205320.Finally, GCF of Fractions for 9560/920, 8420/9142 is 20/4205320.