Greatest Common Factor of 265/60, 557/25, 133/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 265/60, 557/25, 133/870

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 265/60,557/25,133/870

Given fractions are 265/60,557/25,133/870

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 265,557,133

Greatest Common Factor of Numerators i.e. GCF of 265,557,133 is 1 .

LCM of Denominators means LCM of 60,25,870 as per the given fractions.

LCM of 60,25,870 is 8700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 265,557,133

GCF of Fractions 265/60,557/25,133/870 is 1/8700

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

Greatest Common Factor of 265,557,133 By Matching Biggest Common Factor Method

Greatest Common Factor of 265,557,133 By Matching Biggest Common Factor Method

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Greatest Common Factor

We found the factors 265,557,133 . The biggest common factor number is the GCF number.
So the greatest common factor 265,557,133 is 1.

Lets's calculate LCM of 60,25,870

2 60, 25, 870
3 30, 25, 435
5 10, 25, 145
2, 5, 29

∴ So the LCM of the given numbers is 2 x 3 x 5 x 2 x 5 x 29 = 8700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8700

Therefore, the GCF of Fractions 265/60,557/25,133/870 is 1/8700

Least Common Multiple of 60,25,870 with GCF Formula

Least Common Multiple of 60,25,870 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 60,25,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,25,870) = 5

common factors(in case of two or more numbers have common factors) = 30

GCF(60,25,870) x common factors =5 x 30 = 150

LCM(60,25,870) = ( 60 × 25 × 870 ) / 150

LCM(60,25,870) = 1305000 / 150

LCM(60,25,870) = 8700


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 265/60, 557/25, 133/870

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 265/60, 557/25, 133/870?

Answer: GCF of Numerators as per given numbers 265/60, 557/25, 133/870 is

GCF of Numerators i.e. for 265,557,133 is 1

LCM of denominators i.e. for 60,25,870 is 8700.

Thus, GCF of Fractions is 1/8700.Finally, GCF of Fractions for 265/60, 557/25, 133/870 is 1/8700.