Greatest Common Factor of 501/35, 334/67, 275/75

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 501/35, 334/67, 275/75

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 501/35,334/67,275/75

Given fractions are 501/35,334/67,275/75

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 501,334,275

Greatest Common Factor of Numerators i.e. GCF of 501,334,275 is 1 .

LCM of Denominators means LCM of 35,67,75 as per the given fractions.

LCM of 35,67,75 is 35175 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 501,334,275

GCF of Fractions 501/35,334/67,275/75 is 1/35175

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

Greatest Common Factor of 501,334,275 By Matching Biggest Common Factor Method

Greatest Common Factor of 501,334,275 By Matching Biggest Common Factor Method

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Greatest Common Factor

We found the factors 501,334,275 . The biggest common factor number is the GCF number.
So the greatest common factor 501,334,275 is 1.

Lets's calculate LCM of 35,67,75

5 35, 67, 75
7, 67, 15

∴ So the LCM of the given numbers is 5 x 7 x 67 x 15 = 35175

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35175

Therefore, the GCF of Fractions 501/35,334/67,275/75 is 1/35175

Least Common Multiple of 35,67,75 with GCF Formula

Least Common Multiple of 35,67,75 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 35,67,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,67,75) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(35,67,75) x common factors =1 x 5 = 5

LCM(35,67,75) = ( 35 × 67 × 75 ) / 5

LCM(35,67,75) = 175875 / 5

LCM(35,67,75) = 35175


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 501/35, 334/67, 275/75

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 501/35, 334/67, 275/75?

Answer: GCF of Numerators as per given numbers 501/35, 334/67, 275/75 is

GCF of Numerators i.e. for 501,334,275 is 1

LCM of denominators i.e. for 35,67,75 is 35175.

Thus, GCF of Fractions is 1/35175.Finally, GCF of Fractions for 501/35, 334/67, 275/75 is 1/35175.