Greatest Common Factor of 708/974, 519/473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 708/974, 519/473

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 708/974,519/473

Given fractions are 708/974,519/473

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 708,519

Greatest Common Factor of Numerators i.e. GCF of 708,519 is 3 .

LCM of Denominators means LCM of 974,473 as per the given fractions.

LCM of 974,473 is 460702 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 708,519

GCF of Fractions 708/974,519/473 is 3/460702

3 708, 519
236, 173

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 708,519 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,519 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Greatest Common Factor

We found the factors 708,519 . The biggest common factor number is the GCF number.
So the greatest common factor 708,519 is 3.

Lets's calculate LCM of 974,473

Given numbers has no common factors except 1. So, there LCM is their product i.e 460702

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/460702

Therefore, the GCF of Fractions 708/974,519/473 is 3/460702

Least Common Multiple of 974,473 with GCF Formula

Least Common Multiple of 974,473 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 974,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(974,473) = 1

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

GCF(974,473) x common factors =1 x 1 = 1

LCM(974,473) = ( 974 × 473 ) / 1

LCM(974,473) = 460702 / 1

LCM(974,473) = 460702


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 708/974, 519/473

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 708/974, 519/473?

Answer: GCF of Numerators as per given numbers 708/974, 519/473 is

GCF of Numerators i.e. for 708,519 is 3

LCM of denominators i.e. for 974,473 is 460702.

Thus, GCF of Fractions is 3/460702.Finally, GCF of Fractions for 708/974, 519/473 is 3/460702.