Greatest Common Factor of 9921/773, 9114/3190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9921/773, 9114/3190

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 9921/773,9114/3190

Given fractions are 9921/773,9114/3190

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 9921,9114

Greatest Common Factor of Numerators i.e. GCF of 9921,9114 is 3 .

LCM of Denominators means LCM of 773,3190 as per the given fractions.

LCM of 773,3190 is 2465870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9921,9114

GCF of Fractions 9921/773,9114/3190 is 3/2465870

3 9921, 9114
3307, 3038

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

Greatest Common Factor of 9921,9114 By Matching Biggest Common Factor Method

Greatest Common Factor of 9921,9114 By Matching Biggest Common Factor Method

Factors of 9921

List of positive integer factors of 9921 that divides 9921 without a remainder.

1,3,3307,9921

Factors of 9114

List of positive integer factors of 9114 that divides 9114 without a remainder.

1,2,3,6,7,14,21,31,42,49,62,93,98,147,186,217,294,434,651,1302,1519,3038,4557,9114

Greatest Common Factor

We found the factors 9921,9114 . The biggest common factor number is the GCF number.
So the greatest common factor 9921,9114 is 3.

Lets's calculate LCM of 773,3190

Given numbers has no common factors except 1. So, there LCM is their product i.e 2465870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2465870

Therefore, the GCF of Fractions 9921/773,9114/3190 is 3/2465870

Least Common Multiple of 773,3190 with GCF Formula

Least Common Multiple of 773,3190 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 773,3190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(773,3190) = 1

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

GCF(773,3190) x common factors =1 x 1 = 1

LCM(773,3190) = ( 773 × 3190 ) / 1

LCM(773,3190) = 2465870 / 1

LCM(773,3190) = 2465870


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 9921/773, 9114/3190

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 9921/773, 9114/3190?

Answer: GCF of Numerators as per given numbers 9921/773, 9114/3190 is

GCF of Numerators i.e. for 9921,9114 is 3

LCM of denominators i.e. for 773,3190 is 2465870.

Thus, GCF of Fractions is 3/2465870.Finally, GCF of Fractions for 9921/773, 9114/3190 is 3/2465870.