Greatest Common Factor of 558/69, 7418/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 558/69, 7418/508

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 558/69,7418/508

Given fractions are 558/69,7418/508

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 558,7418

Greatest Common Factor of Numerators i.e. GCF of 558,7418 is 2 .

LCM of Denominators means LCM of 69,508 as per the given fractions.

LCM of 69,508 is 35052 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 558,7418

GCF of Fractions 558/69,7418/508 is 2/35052

2 558, 7418
279, 3709

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

Greatest Common Factor of 558,7418 By Matching Biggest Common Factor Method

Greatest Common Factor of 558,7418 By Matching Biggest Common Factor Method

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 7418

List of positive integer factors of 7418 that divides 7418 without a remainder.

1,2,3709,7418

Greatest Common Factor

We found the factors 558,7418 . The biggest common factor number is the GCF number.
So the greatest common factor 558,7418 is 2.

Lets's calculate LCM of 69,508

Given numbers has no common factors except 1. So, there LCM is their product i.e 35052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35052

Therefore, the GCF of Fractions 558/69,7418/508 is 2/35052

Least Common Multiple of 69,508 with GCF Formula

Least Common Multiple of 69,508 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 69,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,508) = 1

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

GCF(69,508) x common factors =1 x 1 = 1

LCM(69,508) = ( 69 × 508 ) / 1

LCM(69,508) = 35052 / 1

LCM(69,508) = 35052


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 558/69, 7418/508

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 558/69, 7418/508?

Answer: GCF of Numerators as per given numbers 558/69, 7418/508 is

GCF of Numerators i.e. for 558,7418 is 2

LCM of denominators i.e. for 69,508 is 35052.

Thus, GCF of Fractions is 2/35052.Finally, GCF of Fractions for 558/69, 7418/508 is 2/35052.