Greatest Common Factor of 9837/790, 7224/921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9837/790, 7224/921

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 9837/790,7224/921

Given fractions are 9837/790,7224/921

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 9837,7224

Greatest Common Factor of Numerators i.e. GCF of 9837,7224 is 3 .

LCM of Denominators means LCM of 790,921 as per the given fractions.

LCM of 790,921 is 727590 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9837,7224

GCF of Fractions 9837/790,7224/921 is 3/727590

3 9837, 7224
3279, 2408

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

Greatest Common Factor of 9837,7224 By Matching Biggest Common Factor Method

Greatest Common Factor of 9837,7224 By Matching Biggest Common Factor Method

Factors of 9837

List of positive integer factors of 9837 that divides 9837 without a remainder.

1,3,9,1093,3279,9837

Factors of 7224

List of positive integer factors of 7224 that divides 7224 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,43,56,84,86,129,168,172,258,301,344,516,602,903,1032,1204,1806,2408,3612,7224

Greatest Common Factor

We found the factors 9837,7224 . The biggest common factor number is the GCF number.
So the greatest common factor 9837,7224 is 3.

Lets's calculate LCM of 790,921

Given numbers has no common factors except 1. So, there LCM is their product i.e 727590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/727590

Therefore, the GCF of Fractions 9837/790,7224/921 is 3/727590

Least Common Multiple of 790,921 with GCF Formula

Least Common Multiple of 790,921 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 790,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(790,921) = 1

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

GCF(790,921) x common factors =1 x 1 = 1

LCM(790,921) = ( 790 × 921 ) / 1

LCM(790,921) = 727590 / 1

LCM(790,921) = 727590


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 9837/790, 7224/921

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 9837/790, 7224/921?

Answer: GCF of Numerators as per given numbers 9837/790, 7224/921 is

GCF of Numerators i.e. for 9837,7224 is 3

LCM of denominators i.e. for 790,921 is 727590.

Thus, GCF of Fractions is 3/727590.Finally, GCF of Fractions for 9837/790, 7224/921 is 3/727590.