Greatest Common Factor of 9516/946, 9775/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9516/946, 9775/420

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 9516/946,9775/420

Given fractions are 9516/946,9775/420

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 9516,9775

Greatest Common Factor of Numerators i.e. GCF of 9516,9775 is 1 .

LCM of Denominators means LCM of 946,420 as per the given fractions.

LCM of 946,420 is 198660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9516,9775

GCF of Fractions 9516/946,9775/420 is 1/198660

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9516,9775 By Matching Biggest Common Factor Method

Greatest Common Factor of 9516,9775 By Matching Biggest Common Factor Method

Factors of 9516

List of positive integer factors of 9516 that divides 9516 without a remainder.

1,2,3,4,6,12,13,26,39,52,61,78,122,156,183,244,366,732,793,1586,2379,3172,4758,9516

Factors of 9775

List of positive integer factors of 9775 that divides 9775 without a remainder.

1,5,17,23,25,85,115,391,425,575,1955,9775

Greatest Common Factor

We found the factors 9516,9775 . The biggest common factor number is the GCF number.
So the greatest common factor 9516,9775 is 1.

Lets's calculate LCM of 946,420

2 946, 420
473, 210

∴ So the LCM of the given numbers is 2 x 473 x 210 = 198660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/198660

Therefore, the GCF of Fractions 9516/946,9775/420 is 1/198660

Least Common Multiple of 946,420 with GCF Formula

Least Common Multiple of 946,420 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 946,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(946,420) = 2

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

GCF(946,420) x common factors =2 x 1 = 2

LCM(946,420) = ( 946 × 420 ) / 2

LCM(946,420) = 397320 / 2

LCM(946,420) = 198660


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 9516/946, 9775/420

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 9516/946, 9775/420?

Answer: GCF of Numerators as per given numbers 9516/946, 9775/420 is

GCF of Numerators i.e. for 9516,9775 is 1

LCM of denominators i.e. for 946,420 is 198660.

Thus, GCF of Fractions is 1/198660.Finally, GCF of Fractions for 9516/946, 9775/420 is 1/198660.