Greatest Common Factor of 40/30, 96/68, 772/257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 40/30, 96/68, 772/257

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 40/30,96/68,772/257

Given fractions are 40/30,96/68,772/257

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 40,96,772

Greatest Common Factor of Numerators i.e. GCF of 40,96,772 is 4 .

LCM of Denominators means LCM of 30,68,257 as per the given fractions.

LCM of 30,68,257 is 262140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 40,96,772

GCF of Fractions 40/30,96/68,772/257 is 4/262140

2 40, 96, 772
2 20, 48, 386
10, 24, 193

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 40,96,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,96,772 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Greatest Common Factor

We found the factors 40,96,772 . The biggest common factor number is the GCF number.
So the greatest common factor 40,96,772 is 4.

Lets's calculate LCM of 30,68,257

2 30, 68, 257
15, 34, 257

∴ So the LCM of the given numbers is 2 x 15 x 34 x 257 = 262140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/262140

Therefore, the GCF of Fractions 40/30,96/68,772/257 is 4/262140

Least Common Multiple of 30,68,257 with GCF Formula

Least Common Multiple of 30,68,257 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 30,68,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,68,257) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(30,68,257) x common factors =1 x 2 = 2

LCM(30,68,257) = ( 30 × 68 × 257 ) / 2

LCM(30,68,257) = 524280 / 2

LCM(30,68,257) = 262140


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 40/30, 96/68, 772/257

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 40/30, 96/68, 772/257?

Answer: GCF of Numerators as per given numbers 40/30, 96/68, 772/257 is

GCF of Numerators i.e. for 40,96,772 is 4

LCM of denominators i.e. for 30,68,257 is 262140.

Thus, GCF of Fractions is 4/262140.Finally, GCF of Fractions for 40/30, 96/68, 772/257 is 4/262140.