Greatest Common Factor of 4968/953, 9635/2105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4968/953, 9635/2105

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 4968/953,9635/2105

Given fractions are 4968/953,9635/2105

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 4968,9635

Greatest Common Factor of Numerators i.e. GCF of 4968,9635 is 1 .

LCM of Denominators means LCM of 953,2105 as per the given fractions.

LCM of 953,2105 is 2006065 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4968,9635

GCF of Fractions 4968/953,9635/2105 is 1/2006065

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

Greatest Common Factor of 4968,9635 By Matching Biggest Common Factor Method

Greatest Common Factor of 4968,9635 By Matching Biggest Common Factor Method

Factors of 4968

List of positive integer factors of 4968 that divides 4968 without a remainder.

1,2,3,4,6,8,9,12,18,23,24,27,36,46,54,69,72,92,108,138,184,207,216,276,414,552,621,828,1242,1656,2484,4968

Factors of 9635

List of positive integer factors of 9635 that divides 9635 without a remainder.

1,5,41,47,205,235,1927,9635

Greatest Common Factor

We found the factors 4968,9635 . The biggest common factor number is the GCF number.
So the greatest common factor 4968,9635 is 1.

Lets's calculate LCM of 953,2105

Given numbers has no common factors except 1. So, there LCM is their product i.e 2006065

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2006065

Therefore, the GCF of Fractions 4968/953,9635/2105 is 1/2006065

Least Common Multiple of 953,2105 with GCF Formula

Least Common Multiple of 953,2105 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 953,2105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(953,2105) = 1

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

GCF(953,2105) x common factors =1 x 1 = 1

LCM(953,2105) = ( 953 × 2105 ) / 1

LCM(953,2105) = 2006065 / 1

LCM(953,2105) = 2006065


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 4968/953, 9635/2105

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 4968/953, 9635/2105?

Answer: GCF of Numerators as per given numbers 4968/953, 9635/2105 is

GCF of Numerators i.e. for 4968,9635 is 1

LCM of denominators i.e. for 953,2105 is 2006065.

Thus, GCF of Fractions is 1/2006065.Finally, GCF of Fractions for 4968/953, 9635/2105 is 1/2006065.