Greatest Common Factor of 61/28, 267/34, 856/99

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 61/28, 267/34, 856/99

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 61/28,267/34,856/99

Given fractions are 61/28,267/34,856/99

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 61,267,856

Greatest Common Factor of Numerators i.e. GCF of 61,267,856 is 1 .

LCM of Denominators means LCM of 28,34,99 as per the given fractions.

LCM of 28,34,99 is 47124 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 61,267,856

GCF of Fractions 61/28,267/34,856/99 is 1/47124

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

Greatest Common Factor of 61,267,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,267,856 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 61,267,856 . The biggest common factor number is the GCF number.
So the greatest common factor 61,267,856 is 1.

Lets's calculate LCM of 28,34,99

2 28, 34, 99
14, 17, 99

∴ So the LCM of the given numbers is 2 x 14 x 17 x 99 = 47124

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47124

Therefore, the GCF of Fractions 61/28,267/34,856/99 is 1/47124

Least Common Multiple of 28,34,99 with GCF Formula

Least Common Multiple of 28,34,99 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 28,34,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,34,99) = 1

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

GCF(28,34,99) x common factors =1 x 2 = 2

LCM(28,34,99) = ( 28 × 34 × 99 ) / 2

LCM(28,34,99) = 94248 / 2

LCM(28,34,99) = 47124


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 61/28, 267/34, 856/99

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 61/28, 267/34, 856/99?

Answer: GCF of Numerators as per given numbers 61/28, 267/34, 856/99 is

GCF of Numerators i.e. for 61,267,856 is 1

LCM of denominators i.e. for 28,34,99 is 47124.

Thus, GCF of Fractions is 1/47124.Finally, GCF of Fractions for 61/28, 267/34, 856/99 is 1/47124.