Greatest Common Factor of 457/32, 552/91, 764/36

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 457/32, 552/91, 764/36

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 457/32,552/91,764/36

Given fractions are 457/32,552/91,764/36

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 457,552,764

Greatest Common Factor of Numerators i.e. GCF of 457,552,764 is 1 .

LCM of Denominators means LCM of 32,91,36 as per the given fractions.

LCM of 32,91,36 is 26208 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 457,552,764

GCF of Fractions 457/32,552/91,764/36 is 1/26208

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

Greatest Common Factor of 457,552,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 457,552,764 By Matching Biggest Common Factor Method

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

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

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 457,552,764 . The biggest common factor number is the GCF number.
So the greatest common factor 457,552,764 is 1.

Lets's calculate LCM of 32,91,36

2 32, 91, 36
2 16, 91, 18
8, 91, 9

∴ So the LCM of the given numbers is 2 x 2 x 8 x 91 x 9 = 26208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26208

Therefore, the GCF of Fractions 457/32,552/91,764/36 is 1/26208

Least Common Multiple of 32,91,36 with GCF Formula

Least Common Multiple of 32,91,36 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 32,91,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,91,36) = 1

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

GCF(32,91,36) x common factors =1 x 4 = 4

LCM(32,91,36) = ( 32 × 91 × 36 ) / 4

LCM(32,91,36) = 104832 / 4

LCM(32,91,36) = 26208


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 457/32, 552/91, 764/36

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 457/32, 552/91, 764/36?

Answer: GCF of Numerators as per given numbers 457/32, 552/91, 764/36 is

GCF of Numerators i.e. for 457,552,764 is 1

LCM of denominators i.e. for 32,91,36 is 26208.

Thus, GCF of Fractions is 1/26208.Finally, GCF of Fractions for 457/32, 552/91, 764/36 is 1/26208.