Greatest Common Factor of 284/26, 815/61, 565/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 284/26, 815/61, 565/762

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 284/26,815/61,565/762

Given fractions are 284/26,815/61,565/762

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 284,815,565

Greatest Common Factor of Numerators i.e. GCF of 284,815,565 is 1 .

LCM of Denominators means LCM of 26,61,762 as per the given fractions.

LCM of 26,61,762 is 604266 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 284,815,565

GCF of Fractions 284/26,815/61,565/762 is 1/604266

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

Greatest Common Factor of 284,815,565 By Matching Biggest Common Factor Method

Greatest Common Factor of 284,815,565 By Matching Biggest Common Factor Method

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Greatest Common Factor

We found the factors 284,815,565 . The biggest common factor number is the GCF number.
So the greatest common factor 284,815,565 is 1.

Lets's calculate LCM of 26,61,762

2 26, 61, 762
13, 61, 381

∴ So the LCM of the given numbers is 2 x 13 x 61 x 381 = 604266

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/604266

Therefore, the GCF of Fractions 284/26,815/61,565/762 is 1/604266

Least Common Multiple of 26,61,762 with GCF Formula

Least Common Multiple of 26,61,762 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 26,61,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,61,762) = 1

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

GCF(26,61,762) x common factors =1 x 2 = 2

LCM(26,61,762) = ( 26 × 61 × 762 ) / 2

LCM(26,61,762) = 1208532 / 2

LCM(26,61,762) = 604266


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 284/26, 815/61, 565/762

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 284/26, 815/61, 565/762?

Answer: GCF of Numerators as per given numbers 284/26, 815/61, 565/762 is

GCF of Numerators i.e. for 284,815,565 is 1

LCM of denominators i.e. for 26,61,762 is 604266.

Thus, GCF of Fractions is 1/604266.Finally, GCF of Fractions for 284/26, 815/61, 565/762 is 1/604266.