Greatest Common Factor of 42/250, 64/810, 354/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/250, 64/810, 354/260

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 42/250,64/810,354/260

Given fractions are 42/250,64/810,354/260

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 42,64,354

Greatest Common Factor of Numerators i.e. GCF of 42,64,354 is 2 .

LCM of Denominators means LCM of 250,810,260 as per the given fractions.

LCM of 250,810,260 is 526500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,64,354

GCF of Fractions 42/250,64/810,354/260 is 2/526500

2 42, 64, 354
21, 32, 177

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

Greatest Common Factor of 42,64,354 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,64,354 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Greatest Common Factor

We found the factors 42,64,354 . The biggest common factor number is the GCF number.
So the greatest common factor 42,64,354 is 2.

Lets's calculate LCM of 250,810,260

2 250, 810, 260
5 125, 405, 130
25, 81, 26

∴ So the LCM of the given numbers is 2 x 5 x 25 x 81 x 26 = 526500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/526500

Therefore, the GCF of Fractions 42/250,64/810,354/260 is 2/526500

Least Common Multiple of 250,810,260 with GCF Formula

Least Common Multiple of 250,810,260 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 250,810,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(250,810,260) = 10

common factors(in case of two or more numbers have common factors) = 10

GCF(250,810,260) x common factors =10 x 10 = 100

LCM(250,810,260) = ( 250 × 810 × 260 ) / 100

LCM(250,810,260) = 52650000 / 100

LCM(250,810,260) = 526500


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 42/250, 64/810, 354/260

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 42/250, 64/810, 354/260?

Answer: GCF of Numerators as per given numbers 42/250, 64/810, 354/260 is

GCF of Numerators i.e. for 42,64,354 is 2

LCM of denominators i.e. for 250,810,260 is 526500.

Thus, GCF of Fractions is 2/526500.Finally, GCF of Fractions for 42/250, 64/810, 354/260 is 2/526500.