Greatest Common Factor of 9652/685, 1402/613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9652/685, 1402/613

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 9652/685,1402/613

Given fractions are 9652/685,1402/613

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 9652,1402

Greatest Common Factor of Numerators i.e. GCF of 9652,1402 is 2 .

LCM of Denominators means LCM of 685,613 as per the given fractions.

LCM of 685,613 is 419905 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9652,1402

GCF of Fractions 9652/685,1402/613 is 2/419905

2 9652, 1402
4826, 701

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

Greatest Common Factor of 9652,1402 By Matching Biggest Common Factor Method

Greatest Common Factor of 9652,1402 By Matching Biggest Common Factor Method

Factors of 9652

List of positive integer factors of 9652 that divides 9652 without a remainder.

1,2,4,19,38,76,127,254,508,2413,4826,9652

Factors of 1402

List of positive integer factors of 1402 that divides 1402 without a remainder.

1,2,701,1402

Greatest Common Factor

We found the factors 9652,1402 . The biggest common factor number is the GCF number.
So the greatest common factor 9652,1402 is 2.

Lets's calculate LCM of 685,613

Given numbers has no common factors except 1. So, there LCM is their product i.e 419905

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/419905

Therefore, the GCF of Fractions 9652/685,1402/613 is 2/419905

Least Common Multiple of 685,613 with GCF Formula

Least Common Multiple of 685,613 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 685,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,613) = 1

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

GCF(685,613) x common factors =1 x 1 = 1

LCM(685,613) = ( 685 × 613 ) / 1

LCM(685,613) = 419905 / 1

LCM(685,613) = 419905


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 9652/685, 1402/613

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 9652/685, 1402/613?

Answer: GCF of Numerators as per given numbers 9652/685, 1402/613 is

GCF of Numerators i.e. for 9652,1402 is 2

LCM of denominators i.e. for 685,613 is 419905.

Thus, GCF of Fractions is 2/419905.Finally, GCF of Fractions for 9652/685, 1402/613 is 2/419905.