Greatest Common Factor of 152/961, 8098/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 152/961, 8098/840

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 152/961,8098/840

Given fractions are 152/961,8098/840

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 152,8098

Greatest Common Factor of Numerators i.e. GCF of 152,8098 is 2 .

LCM of Denominators means LCM of 961,840 as per the given fractions.

LCM of 961,840 is 807240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 152,8098

GCF of Fractions 152/961,8098/840 is 2/807240

2 152, 8098
76, 4049

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

Greatest Common Factor of 152,8098 By Matching Biggest Common Factor Method

Greatest Common Factor of 152,8098 By Matching Biggest Common Factor Method

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 8098

List of positive integer factors of 8098 that divides 8098 without a remainder.

1,2,4049,8098

Greatest Common Factor

We found the factors 152,8098 . The biggest common factor number is the GCF number.
So the greatest common factor 152,8098 is 2.

Lets's calculate LCM of 961,840

Given numbers has no common factors except 1. So, there LCM is their product i.e 807240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/807240

Therefore, the GCF of Fractions 152/961,8098/840 is 2/807240

Least Common Multiple of 961,840 with GCF Formula

Least Common Multiple of 961,840 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 961,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(961,840) = 1

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

GCF(961,840) x common factors =1 x 1 = 1

LCM(961,840) = ( 961 × 840 ) / 1

LCM(961,840) = 807240 / 1

LCM(961,840) = 807240


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 152/961, 8098/840

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 152/961, 8098/840?

Answer: GCF of Numerators as per given numbers 152/961, 8098/840 is

GCF of Numerators i.e. for 152,8098 is 2

LCM of denominators i.e. for 961,840 is 807240.

Thus, GCF of Fractions is 2/807240.Finally, GCF of Fractions for 152/961, 8098/840 is 2/807240.