Greatest Common Factor of 661/21, 527/33, 832/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 661/21, 527/33, 832/175

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 661/21,527/33,832/175

Given fractions are 661/21,527/33,832/175

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 661,527,832

Greatest Common Factor of Numerators i.e. GCF of 661,527,832 is 1 .

LCM of Denominators means LCM of 21,33,175 as per the given fractions.

LCM of 21,33,175 is 5775 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 661,527,832

GCF of Fractions 661/21,527/33,832/175 is 1/5775

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

Greatest Common Factor of 661,527,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 661,527,832 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 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 661,527,832 . The biggest common factor number is the GCF number.
So the greatest common factor 661,527,832 is 1.

Lets's calculate LCM of 21,33,175

3 21, 33, 175
7 7, 11, 175
1, 11, 25

∴ So the LCM of the given numbers is 3 x 7 x 1 x 11 x 25 = 5775

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5775

Therefore, the GCF of Fractions 661/21,527/33,832/175 is 1/5775

Least Common Multiple of 21,33,175 with GCF Formula

Least Common Multiple of 21,33,175 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 21,33,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,33,175) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(21,33,175) x common factors =1 x 21 = 21

LCM(21,33,175) = ( 21 × 33 × 175 ) / 21

LCM(21,33,175) = 121275 / 21

LCM(21,33,175) = 5775


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 661/21, 527/33, 832/175

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 661/21, 527/33, 832/175?

Answer: GCF of Numerators as per given numbers 661/21, 527/33, 832/175 is

GCF of Numerators i.e. for 661,527,832 is 1

LCM of denominators i.e. for 21,33,175 is 5775.

Thus, GCF of Fractions is 1/5775.Finally, GCF of Fractions for 661/21, 527/33, 832/175 is 1/5775.