Greatest Common Factor of 661/364, 731/457, 661/964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 661/364, 731/457, 661/964

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 661/364,731/457,661/964

Given fractions are 661/364,731/457,661/964

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 661,731,661

Greatest Common Factor of Numerators i.e. GCF of 661,731,661 is 1 .

LCM of Denominators means LCM of 364,457,964 as per the given fractions.

LCM of 364,457,964 is 40089868 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 661,731,661

GCF of Fractions 661/364,731/457,661/964 is 1/40089868

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

Greatest Common Factor of 661,731,661 By Matching Biggest Common Factor Method

Greatest Common Factor of 661,731,661 By Matching Biggest Common Factor Method

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Greatest Common Factor

We found the factors 661,731,661 . The biggest common factor number is the GCF number.
So the greatest common factor 661,731,661 is 1.

Lets's calculate LCM of 364,457,964

2 364, 457, 964
2 182, 457, 482
91, 457, 241

∴ So the LCM of the given numbers is 2 x 2 x 91 x 457 x 241 = 40089868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40089868

Therefore, the GCF of Fractions 661/364,731/457,661/964 is 1/40089868

Least Common Multiple of 364,457,964 with GCF Formula

Least Common Multiple of 364,457,964 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 364,457,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,457,964) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(364,457,964) x common factors =1 x 4 = 4

LCM(364,457,964) = ( 364 × 457 × 964 ) / 4

LCM(364,457,964) = 160359472 / 4

LCM(364,457,964) = 40089868


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 661/364, 731/457, 661/964

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 661/364, 731/457, 661/964?

Answer: GCF of Numerators as per given numbers 661/364, 731/457, 661/964 is

GCF of Numerators i.e. for 661,731,661 is 1

LCM of denominators i.e. for 364,457,964 is 40089868.

Thus, GCF of Fractions is 1/40089868.Finally, GCF of Fractions for 661/364, 731/457, 661/964 is 1/40089868.