Greatest Common Factor of 42/326, 716/384, 580/265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/326, 716/384, 580/265

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 42/326,716/384,580/265

Given fractions are 42/326,716/384,580/265

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 42,716,580

Greatest Common Factor of Numerators i.e. GCF of 42,716,580 is 2 .

LCM of Denominators means LCM of 326,384,265 as per the given fractions.

LCM of 326,384,265 is 16586880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,716,580

GCF of Fractions 42/326,716/384,580/265 is 2/16586880

2 42, 716, 580
21, 358, 290

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

Greatest Common Factor of 42,716,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,716,580 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 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 42,716,580 . The biggest common factor number is the GCF number.
So the greatest common factor 42,716,580 is 2.

Lets's calculate LCM of 326,384,265

2 326, 384, 265
163, 192, 265

∴ So the LCM of the given numbers is 2 x 163 x 192 x 265 = 16586880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16586880

Therefore, the GCF of Fractions 42/326,716/384,580/265 is 2/16586880

Least Common Multiple of 326,384,265 with GCF Formula

Least Common Multiple of 326,384,265 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 326,384,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(326,384,265) = 1

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

GCF(326,384,265) x common factors =1 x 2 = 2

LCM(326,384,265) = ( 326 × 384 × 265 ) / 2

LCM(326,384,265) = 33173760 / 2

LCM(326,384,265) = 16586880


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 42/326, 716/384, 580/265

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 42/326, 716/384, 580/265?

Answer: GCF of Numerators as per given numbers 42/326, 716/384, 580/265 is

GCF of Numerators i.e. for 42,716,580 is 2

LCM of denominators i.e. for 326,384,265 is 16586880.

Thus, GCF of Fractions is 2/16586880.Finally, GCF of Fractions for 42/326, 716/384, 580/265 is 2/16586880.