Greatest Common Factor of 4690/732, 9852/6320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4690/732, 9852/6320

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 4690/732,9852/6320

Given fractions are 4690/732,9852/6320

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 4690,9852

Greatest Common Factor of Numerators i.e. GCF of 4690,9852 is 2 .

LCM of Denominators means LCM of 732,6320 as per the given fractions.

LCM of 732,6320 is 1156560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4690,9852

GCF of Fractions 4690/732,9852/6320 is 2/1156560

2 4690, 9852
2345, 4926

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4690,9852 By Matching Biggest Common Factor Method

Greatest Common Factor of 4690,9852 By Matching Biggest Common Factor Method

Factors of 4690

List of positive integer factors of 4690 that divides 4690 without a remainder.

1,2,5,7,10,14,35,67,70,134,335,469,670,938,2345,4690

Factors of 9852

List of positive integer factors of 9852 that divides 9852 without a remainder.

1,2,3,4,6,12,821,1642,2463,3284,4926,9852

Greatest Common Factor

We found the factors 4690,9852 . The biggest common factor number is the GCF number.
So the greatest common factor 4690,9852 is 2.

Lets's calculate LCM of 732,6320

2 732, 6320
2 366, 3160
183, 1580

∴ So the LCM of the given numbers is 2 x 2 x 183 x 1580 = 1156560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1156560

Therefore, the GCF of Fractions 4690/732,9852/6320 is 2/1156560

Least Common Multiple of 732,6320 with GCF Formula

Least Common Multiple of 732,6320 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 732,6320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,6320) = 4

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

GCF(732,6320) x common factors =4 x 1 = 4

LCM(732,6320) = ( 732 × 6320 ) / 4

LCM(732,6320) = 4626240 / 4

LCM(732,6320) = 1156560


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 4690/732, 9852/6320

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 4690/732, 9852/6320?

Answer: GCF of Numerators as per given numbers 4690/732, 9852/6320 is

GCF of Numerators i.e. for 4690,9852 is 2

LCM of denominators i.e. for 732,6320 is 1156560.

Thus, GCF of Fractions is 2/1156560.Finally, GCF of Fractions for 4690/732, 9852/6320 is 2/1156560.