Greatest Common Factor of 1506/49, 7118/817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1506/49, 7118/817

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 1506/49,7118/817

Given fractions are 1506/49,7118/817

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 1506,7118

Greatest Common Factor of Numerators i.e. GCF of 1506,7118 is 2 .

LCM of Denominators means LCM of 49,817 as per the given fractions.

LCM of 49,817 is 40033 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1506,7118

GCF of Fractions 1506/49,7118/817 is 2/40033

2 1506, 7118
753, 3559

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

Greatest Common Factor of 1506,7118 By Matching Biggest Common Factor Method

Greatest Common Factor of 1506,7118 By Matching Biggest Common Factor Method

Factors of 1506

List of positive integer factors of 1506 that divides 1506 without a remainder.

1,2,3,6,251,502,753,1506

Factors of 7118

List of positive integer factors of 7118 that divides 7118 without a remainder.

1,2,3559,7118

Greatest Common Factor

We found the factors 1506,7118 . The biggest common factor number is the GCF number.
So the greatest common factor 1506,7118 is 2.

Lets's calculate LCM of 49,817

Given numbers has no common factors except 1. So, there LCM is their product i.e 40033

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/40033

Therefore, the GCF of Fractions 1506/49,7118/817 is 2/40033

Least Common Multiple of 49,817 with GCF Formula

Least Common Multiple of 49,817 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 49,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,817) = 1

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

GCF(49,817) x common factors =1 x 1 = 1

LCM(49,817) = ( 49 × 817 ) / 1

LCM(49,817) = 40033 / 1

LCM(49,817) = 40033


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 1506/49, 7118/817

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 1506/49, 7118/817?

Answer: GCF of Numerators as per given numbers 1506/49, 7118/817 is

GCF of Numerators i.e. for 1506,7118 is 2

LCM of denominators i.e. for 49,817 is 40033.

Thus, GCF of Fractions is 2/40033.Finally, GCF of Fractions for 1506/49, 7118/817 is 2/40033.