Greatest Common Factor of 648/513, 571/652, 404/851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 648/513, 571/652, 404/851

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 648/513,571/652,404/851

Given fractions are 648/513,571/652,404/851

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 648,571,404

Greatest Common Factor of Numerators i.e. GCF of 648,571,404 is 1 .

LCM of Denominators means LCM of 513,652,851 as per the given fractions.

LCM of 513,652,851 is 284639076 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 648,571,404

GCF of Fractions 648/513,571/652,404/851 is 1/284639076

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

Greatest Common Factor of 648,571,404 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,571,404 By Matching Biggest Common Factor Method

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 571

List of positive integer factors of 571 that divides 571 without a remainder.

1,571

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Greatest Common Factor

We found the factors 648,571,404 . The biggest common factor number is the GCF number.
So the greatest common factor 648,571,404 is 1.

Lets's calculate LCM of 513,652,851

Given numbers has no common factors except 1. So, there LCM is their product i.e 284639076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/284639076

Therefore, the GCF of Fractions 648/513,571/652,404/851 is 1/284639076

Least Common Multiple of 513,652,851 with GCF Formula

Least Common Multiple of 513,652,851 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 513,652,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(513,652,851) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(513,652,851) x common factors =1 x 1 = 1

LCM(513,652,851) = ( 513 × 652 × 851 ) / 1

LCM(513,652,851) = 284639076 / 1

LCM(513,652,851) = 284639076


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 648/513, 571/652, 404/851

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 648/513, 571/652, 404/851?

Answer: GCF of Numerators as per given numbers 648/513, 571/652, 404/851 is

GCF of Numerators i.e. for 648,571,404 is 1

LCM of denominators i.e. for 513,652,851 is 284639076.

Thus, GCF of Fractions is 1/284639076.Finally, GCF of Fractions for 648/513, 571/652, 404/851 is 1/284639076.