Greatest Common Factor of 755/36, 857/42, 552/617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 755/36, 857/42, 552/617

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 755/36,857/42,552/617

Given fractions are 755/36,857/42,552/617

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 755,857,552

Greatest Common Factor of Numerators i.e. GCF of 755,857,552 is 1 .

LCM of Denominators means LCM of 36,42,617 as per the given fractions.

LCM of 36,42,617 is 155484 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 755,857,552

GCF of Fractions 755/36,857/42,552/617 is 1/155484

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

Greatest Common Factor of 755,857,552 By Matching Biggest Common Factor Method

Greatest Common Factor of 755,857,552 By Matching Biggest Common Factor Method

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Greatest Common Factor

We found the factors 755,857,552 . The biggest common factor number is the GCF number.
So the greatest common factor 755,857,552 is 1.

Lets's calculate LCM of 36,42,617

2 36, 42, 617
3 18, 21, 617
6, 7, 617

∴ So the LCM of the given numbers is 2 x 3 x 6 x 7 x 617 = 155484

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155484

Therefore, the GCF of Fractions 755/36,857/42,552/617 is 1/155484

Least Common Multiple of 36,42,617 with GCF Formula

Least Common Multiple of 36,42,617 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 36,42,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,42,617) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(36,42,617) x common factors =1 x 6 = 6

LCM(36,42,617) = ( 36 × 42 × 617 ) / 6

LCM(36,42,617) = 932904 / 6

LCM(36,42,617) = 155484


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 755/36, 857/42, 552/617

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 755/36, 857/42, 552/617?

Answer: GCF of Numerators as per given numbers 755/36, 857/42, 552/617 is

GCF of Numerators i.e. for 755,857,552 is 1

LCM of denominators i.e. for 36,42,617 is 155484.

Thus, GCF of Fractions is 1/155484.Finally, GCF of Fractions for 755/36, 857/42, 552/617 is 1/155484.