Greatest Common Factor of 9601/64, 4394/661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9601/64, 4394/661

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 9601/64,4394/661

Given fractions are 9601/64,4394/661

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 9601,4394

Greatest Common Factor of Numerators i.e. GCF of 9601,4394 is 1 .

LCM of Denominators means LCM of 64,661 as per the given fractions.

LCM of 64,661 is 42304 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9601,4394

GCF of Fractions 9601/64,4394/661 is 1/42304

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

Greatest Common Factor of 9601,4394 By Matching Biggest Common Factor Method

Greatest Common Factor of 9601,4394 By Matching Biggest Common Factor Method

Factors of 9601

List of positive integer factors of 9601 that divides 9601 without a remainder.

1,9601

Factors of 4394

List of positive integer factors of 4394 that divides 4394 without a remainder.

1,2,13,26,169,338,2197,4394

Greatest Common Factor

We found the factors 9601,4394 . The biggest common factor number is the GCF number.
So the greatest common factor 9601,4394 is 1.

Lets's calculate LCM of 64,661

Given numbers has no common factors except 1. So, there LCM is their product i.e 42304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42304

Therefore, the GCF of Fractions 9601/64,4394/661 is 1/42304

Least Common Multiple of 64,661 with GCF Formula

Least Common Multiple of 64,661 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 64,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,661) = 1

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

GCF(64,661) x common factors =1 x 1 = 1

LCM(64,661) = ( 64 × 661 ) / 1

LCM(64,661) = 42304 / 1

LCM(64,661) = 42304


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 9601/64, 4394/661

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 9601/64, 4394/661?

Answer: GCF of Numerators as per given numbers 9601/64, 4394/661 is

GCF of Numerators i.e. for 9601,4394 is 1

LCM of denominators i.e. for 64,661 is 42304.

Thus, GCF of Fractions is 1/42304.Finally, GCF of Fractions for 9601/64, 4394/661 is 1/42304.