Greatest Common Factor of 524/612, 707/409, 510/673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 524/612, 707/409, 510/673

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 524/612,707/409,510/673

Given fractions are 524/612,707/409,510/673

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 524,707,510

Greatest Common Factor of Numerators i.e. GCF of 524,707,510 is 1 .

LCM of Denominators means LCM of 612,409,673 as per the given fractions.

LCM of 612,409,673 is 168457284 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 524,707,510

GCF of Fractions 524/612,707/409,510/673 is 1/168457284

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

Greatest Common Factor of 524,707,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 524,707,510 By Matching Biggest Common Factor Method

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors 524,707,510 . The biggest common factor number is the GCF number.
So the greatest common factor 524,707,510 is 1.

Lets's calculate LCM of 612,409,673

Given numbers has no common factors except 1. So, there LCM is their product i.e 168457284

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/168457284

Therefore, the GCF of Fractions 524/612,707/409,510/673 is 1/168457284

Least Common Multiple of 612,409,673 with GCF Formula

Least Common Multiple of 612,409,673 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 612,409,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(612,409,673) = 1

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

GCF(612,409,673) x common factors =1 x 1 = 1

LCM(612,409,673) = ( 612 × 409 × 673 ) / 1

LCM(612,409,673) = 168457284 / 1

LCM(612,409,673) = 168457284


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 524/612, 707/409, 510/673

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 524/612, 707/409, 510/673?

Answer: GCF of Numerators as per given numbers 524/612, 707/409, 510/673 is

GCF of Numerators i.e. for 524,707,510 is 1

LCM of denominators i.e. for 612,409,673 is 168457284.

Thus, GCF of Fractions is 1/168457284.Finally, GCF of Fractions for 524/612, 707/409, 510/673 is 1/168457284.