Greatest Common Factor of 554/1507, 718/5967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 554/1507, 718/5967

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 554/1507,718/5967

Given fractions are 554/1507,718/5967

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 554,718

Greatest Common Factor of Numerators i.e. GCF of 554,718 is 2 .

LCM of Denominators means LCM of 1507,5967 as per the given fractions.

LCM of 1507,5967 is 8992269 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 554,718

GCF of Fractions 554/1507,718/5967 is 2/8992269

2 554, 718
277, 359

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 554,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 554,718 By Matching Biggest Common Factor Method

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 554,718 . The biggest common factor number is the GCF number.
So the greatest common factor 554,718 is 2.

Lets's calculate LCM of 1507,5967

Given numbers has no common factors except 1. So, there LCM is their product i.e 8992269

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8992269

Therefore, the GCF of Fractions 554/1507,718/5967 is 2/8992269

Least Common Multiple of 1507,5967 with GCF Formula

Least Common Multiple of 1507,5967 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 1507,5967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1507,5967) = 1

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

GCF(1507,5967) x common factors =1 x 1 = 1

LCM(1507,5967) = ( 1507 × 5967 ) / 1

LCM(1507,5967) = 8992269 / 1

LCM(1507,5967) = 8992269


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 554/1507, 718/5967

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 554/1507, 718/5967?

Answer: GCF of Numerators as per given numbers 554/1507, 718/5967 is

GCF of Numerators i.e. for 554,718 is 2

LCM of denominators i.e. for 1507,5967 is 8992269.

Thus, GCF of Fractions is 2/8992269.Finally, GCF of Fractions for 554/1507, 718/5967 is 2/8992269.