Greatest Common Factor of 80/857, 730/575, 906/257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/857, 730/575, 906/257

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 80/857,730/575,906/257

Given fractions are 80/857,730/575,906/257

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 80,730,906

Greatest Common Factor of Numerators i.e. GCF of 80,730,906 is 2 .

LCM of Denominators means LCM of 857,575,257 as per the given fractions.

LCM of 857,575,257 is 126643175 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,730,906

GCF of Fractions 80/857,730/575,906/257 is 2/126643175

2 80, 730, 906
40, 365, 453

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

Greatest Common Factor of 80,730,906 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,730,906 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Greatest Common Factor

We found the factors 80,730,906 . The biggest common factor number is the GCF number.
So the greatest common factor 80,730,906 is 2.

Lets's calculate LCM of 857,575,257

Given numbers has no common factors except 1. So, there LCM is their product i.e 126643175

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/126643175

Therefore, the GCF of Fractions 80/857,730/575,906/257 is 2/126643175

Least Common Multiple of 857,575,257 with GCF Formula

Least Common Multiple of 857,575,257 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 857,575,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(857,575,257) = 1

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

GCF(857,575,257) x common factors =1 x 1 = 1

LCM(857,575,257) = ( 857 × 575 × 257 ) / 1

LCM(857,575,257) = 126643175 / 1

LCM(857,575,257) = 126643175


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 80/857, 730/575, 906/257

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 80/857, 730/575, 906/257?

Answer: GCF of Numerators as per given numbers 80/857, 730/575, 906/257 is

GCF of Numerators i.e. for 80,730,906 is 2

LCM of denominators i.e. for 857,575,257 is 126643175.

Thus, GCF of Fractions is 2/126643175.Finally, GCF of Fractions for 80/857, 730/575, 906/257 is 2/126643175.