Greatest Common Factor of 9888/441, 3020/3538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9888/441, 3020/3538

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 9888/441,3020/3538

Given fractions are 9888/441,3020/3538

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 9888,3020

Greatest Common Factor of Numerators i.e. GCF of 9888,3020 is 4 .

LCM of Denominators means LCM of 441,3538 as per the given fractions.

LCM of 441,3538 is 1560258 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9888,3020

GCF of Fractions 9888/441,3020/3538 is 4/1560258

2 9888, 3020
2 4944, 1510
2472, 755

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

Greatest Common Factor of 9888,3020 By Matching Biggest Common Factor Method

Greatest Common Factor of 9888,3020 By Matching Biggest Common Factor Method

Factors of 9888

List of positive integer factors of 9888 that divides 9888 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96,103,206,309,412,618,824,1236,1648,2472,3296,4944,9888

Factors of 3020

List of positive integer factors of 3020 that divides 3020 without a remainder.

1,2,4,5,10,20,151,302,604,755,1510,3020

Greatest Common Factor

We found the factors 9888,3020 . The biggest common factor number is the GCF number.
So the greatest common factor 9888,3020 is 4.

Lets's calculate LCM of 441,3538

Given numbers has no common factors except 1. So, there LCM is their product i.e 1560258

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1560258

Therefore, the GCF of Fractions 9888/441,3020/3538 is 4/1560258

Least Common Multiple of 441,3538 with GCF Formula

Least Common Multiple of 441,3538 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 441,3538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(441,3538) = 1

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

GCF(441,3538) x common factors =1 x 1 = 1

LCM(441,3538) = ( 441 × 3538 ) / 1

LCM(441,3538) = 1560258 / 1

LCM(441,3538) = 1560258


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 9888/441, 3020/3538

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 9888/441, 3020/3538?

Answer: GCF of Numerators as per given numbers 9888/441, 3020/3538 is

GCF of Numerators i.e. for 9888,3020 is 4

LCM of denominators i.e. for 441,3538 is 1560258.

Thus, GCF of Fractions is 4/1560258.Finally, GCF of Fractions for 9888/441, 3020/3538 is 4/1560258.