Greatest Common Factor of 9021/828, 7770/9442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9021/828, 7770/9442

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 9021/828,7770/9442

Given fractions are 9021/828,7770/9442

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 9021,7770

Greatest Common Factor of Numerators i.e. GCF of 9021,7770 is 3 .

LCM of Denominators means LCM of 828,9442 as per the given fractions.

LCM of 828,9442 is 3908988 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9021,7770

GCF of Fractions 9021/828,7770/9442 is 3/3908988

3 9021, 7770
3007, 2590

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9021,7770 By Matching Biggest Common Factor Method

Greatest Common Factor of 9021,7770 By Matching Biggest Common Factor Method

Factors of 9021

List of positive integer factors of 9021 that divides 9021 without a remainder.

1,3,31,93,97,291,3007,9021

Factors of 7770

List of positive integer factors of 7770 that divides 7770 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,37,42,70,74,105,111,185,210,222,259,370,518,555,777,1110,1295,1554,2590,3885,7770

Greatest Common Factor

We found the factors 9021,7770 . The biggest common factor number is the GCF number.
So the greatest common factor 9021,7770 is 3.

Lets's calculate LCM of 828,9442

2 828, 9442
414, 4721

∴ So the LCM of the given numbers is 2 x 414 x 4721 = 3908988

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3908988

Therefore, the GCF of Fractions 9021/828,7770/9442 is 3/3908988

Least Common Multiple of 828,9442 with GCF Formula

Least Common Multiple of 828,9442 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 828,9442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,9442) = 2

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

GCF(828,9442) x common factors =2 x 1 = 2

LCM(828,9442) = ( 828 × 9442 ) / 2

LCM(828,9442) = 7817976 / 2

LCM(828,9442) = 3908988


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 9021/828, 7770/9442

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 9021/828, 7770/9442?

Answer: GCF of Numerators as per given numbers 9021/828, 7770/9442 is

GCF of Numerators i.e. for 9021,7770 is 3

LCM of denominators i.e. for 828,9442 is 3908988.

Thus, GCF of Fractions is 3/3908988.Finally, GCF of Fractions for 9021/828, 7770/9442 is 3/3908988.