Greatest Common Factor of 85/744, 498/805, 152/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 85/744, 498/805, 152/796

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 85/744,498/805,152/796

Given fractions are 85/744,498/805,152/796

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 85,498,152

Greatest Common Factor of Numerators i.e. GCF of 85,498,152 is 1 .

LCM of Denominators means LCM of 744,805,796 as per the given fractions.

LCM of 744,805,796 is 119185080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 85,498,152

GCF of Fractions 85/744,498/805,152/796 is 1/119185080

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

Greatest Common Factor of 85,498,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,498,152 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 152

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

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

Greatest Common Factor

We found the factors 85,498,152 . The biggest common factor number is the GCF number.
So the greatest common factor 85,498,152 is 1.

Lets's calculate LCM of 744,805,796

2 744, 805, 796
2 372, 805, 398
186, 805, 199

∴ So the LCM of the given numbers is 2 x 2 x 186 x 805 x 199 = 119185080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119185080

Therefore, the GCF of Fractions 85/744,498/805,152/796 is 1/119185080

Least Common Multiple of 744,805,796 with GCF Formula

Least Common Multiple of 744,805,796 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 744,805,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,805,796) = 1

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

GCF(744,805,796) x common factors =1 x 4 = 4

LCM(744,805,796) = ( 744 × 805 × 796 ) / 4

LCM(744,805,796) = 476740320 / 4

LCM(744,805,796) = 119185080


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 85/744, 498/805, 152/796

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 85/744, 498/805, 152/796?

Answer: GCF of Numerators as per given numbers 85/744, 498/805, 152/796 is

GCF of Numerators i.e. for 85,498,152 is 1

LCM of denominators i.e. for 744,805,796 is 119185080.

Thus, GCF of Fractions is 1/119185080.Finally, GCF of Fractions for 85/744, 498/805, 152/796 is 1/119185080.