Greatest Common Factor of 453/87, 237/84, 578/64

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 453/87, 237/84, 578/64

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 453/87,237/84,578/64

Given fractions are 453/87,237/84,578/64

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 453,237,578

Greatest Common Factor of Numerators i.e. GCF of 453,237,578 is 1 .

LCM of Denominators means LCM of 87,84,64 as per the given fractions.

LCM of 87,84,64 is 38976 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 453,237,578

GCF of Fractions 453/87,237/84,578/64 is 1/38976

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

Greatest Common Factor of 453,237,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 453,237,578 By Matching Biggest Common Factor Method

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 453,237,578 . The biggest common factor number is the GCF number.
So the greatest common factor 453,237,578 is 1.

Lets's calculate LCM of 87,84,64

2 87, 84, 64
2 87, 42, 32
3 87, 21, 16
29, 7, 16

∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 7 x 16 = 38976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38976

Therefore, the GCF of Fractions 453/87,237/84,578/64 is 1/38976

Least Common Multiple of 87,84,64 with GCF Formula

Least Common Multiple of 87,84,64 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 87,84,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,84,64) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(87,84,64) x common factors =1 x 12 = 12

LCM(87,84,64) = ( 87 × 84 × 64 ) / 12

LCM(87,84,64) = 467712 / 12

LCM(87,84,64) = 38976


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 453/87, 237/84, 578/64

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 453/87, 237/84, 578/64?

Answer: GCF of Numerators as per given numbers 453/87, 237/84, 578/64 is

GCF of Numerators i.e. for 453,237,578 is 1

LCM of denominators i.e. for 87,84,64 is 38976.

Thus, GCF of Fractions is 1/38976.Finally, GCF of Fractions for 453/87, 237/84, 578/64 is 1/38976.