Greatest Common Factor of 5/98, 12/58, 97/578, 222/955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/98, 12/58, 97/578, 222/955

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 5/98,12/58,97/578,222/955

Given fractions are 5/98,12/58,97/578,222/955

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 5,12,97,222

Greatest Common Factor of Numerators i.e. GCF of 5,12,97,222 is 1 .

LCM of Denominators means LCM of 98,58,578,955 as per the given fractions.

LCM of 98,58,578,955 is 784377790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,12,97,222

GCF of Fractions 5/98,12/58,97/578,222/955 is 1/784377790

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

Greatest Common Factor of 5,12,97,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,12,97,222 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 5,12,97,222 . The biggest common factor number is the GCF number.
So the greatest common factor 5,12,97,222 is 1.

Lets's calculate LCM of 98,58,578,955

2 98, 58, 578, 955
49, 29, 289, 955

∴ So the LCM of the given numbers is 2 x 49 x 29 x 289 x 955 = 784377790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/784377790

Therefore, the GCF of Fractions 5/98,12/58,97/578,222/955 is 1/784377790

Least Common Multiple of 98,58,578,955 with GCF Formula

Least Common Multiple of 98,58,578,955 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 98,58,578,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,58,578,955) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(98,58,578,955) x common factors =1 x 4 = 4

LCM(98,58,578,955) = ( 98 × 58 × 578 × 955 ) / 4

LCM(98,58,578,955) = 3137511160 / 4

LCM(98,58,578,955) = 784377790


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 5/98, 12/58, 97/578, 222/955

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 5/98, 12/58, 97/578, 222/955?

Answer: GCF of Numerators as per given numbers 5/98, 12/58, 97/578, 222/955 is

GCF of Numerators i.e. for 5,12,97,222 is 1

LCM of denominators i.e. for 98,58,578,955 is 784377790.

Thus, GCF of Fractions is 1/784377790.Finally, GCF of Fractions for 5/98, 12/58, 97/578, 222/955 is 1/784377790.