Greatest Common Factor of 708/43, 1507/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 708/43, 1507/219

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 708/43,1507/219

Given fractions are 708/43,1507/219

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 708,1507

Greatest Common Factor of Numerators i.e. GCF of 708,1507 is 1 .

LCM of Denominators means LCM of 43,219 as per the given fractions.

LCM of 43,219 is 9417 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 708,1507

GCF of Fractions 708/43,1507/219 is 1/9417

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

Greatest Common Factor of 708,1507 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,1507 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 1507

List of positive integer factors of 1507 that divides 1507 without a remainder.

1,11,137,1507

Greatest Common Factor

We found the factors 708,1507 . The biggest common factor number is the GCF number.
So the greatest common factor 708,1507 is 1.

Lets's calculate LCM of 43,219

Given numbers has no common factors except 1. So, there LCM is their product i.e 9417

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9417

Therefore, the GCF of Fractions 708/43,1507/219 is 1/9417

Least Common Multiple of 43,219 with GCF Formula

Least Common Multiple of 43,219 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 43,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,219) = 1

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

GCF(43,219) x common factors =1 x 1 = 1

LCM(43,219) = ( 43 × 219 ) / 1

LCM(43,219) = 9417 / 1

LCM(43,219) = 9417


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 708/43, 1507/219

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 708/43, 1507/219?

Answer: GCF of Numerators as per given numbers 708/43, 1507/219 is

GCF of Numerators i.e. for 708,1507 is 1

LCM of denominators i.e. for 43,219 is 9417.

Thus, GCF of Fractions is 1/9417.Finally, GCF of Fractions for 708/43, 1507/219 is 1/9417.