Greatest Common Factor of 4985/52, 9074/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4985/52, 9074/756

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 4985/52,9074/756

Given fractions are 4985/52,9074/756

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 4985,9074

Greatest Common Factor of Numerators i.e. GCF of 4985,9074 is 1 .

LCM of Denominators means LCM of 52,756 as per the given fractions.

LCM of 52,756 is 9828 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4985,9074

GCF of Fractions 4985/52,9074/756 is 1/9828

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

Greatest Common Factor of 4985,9074 By Matching Biggest Common Factor Method

Greatest Common Factor of 4985,9074 By Matching Biggest Common Factor Method

Factors of 4985

List of positive integer factors of 4985 that divides 4985 without a remainder.

1,5,997,4985

Factors of 9074

List of positive integer factors of 9074 that divides 9074 without a remainder.

1,2,13,26,349,698,4537,9074

Greatest Common Factor

We found the factors 4985,9074 . The biggest common factor number is the GCF number.
So the greatest common factor 4985,9074 is 1.

Lets's calculate LCM of 52,756

2 52, 756
2 26, 378
13, 189

∴ So the LCM of the given numbers is 2 x 2 x 13 x 189 = 9828

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9828

Therefore, the GCF of Fractions 4985/52,9074/756 is 1/9828

Least Common Multiple of 52,756 with GCF Formula

Least Common Multiple of 52,756 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 52,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,756) = 4

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

GCF(52,756) x common factors =4 x 1 = 4

LCM(52,756) = ( 52 × 756 ) / 4

LCM(52,756) = 39312 / 4

LCM(52,756) = 9828


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 4985/52, 9074/756

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 4985/52, 9074/756?

Answer: GCF of Numerators as per given numbers 4985/52, 9074/756 is

GCF of Numerators i.e. for 4985,9074 is 1

LCM of denominators i.e. for 52,756 is 9828.

Thus, GCF of Fractions is 1/9828.Finally, GCF of Fractions for 4985/52, 9074/756 is 1/9828.