Greatest Common Factor of 856/22, 549/86, 991/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 856/22, 549/86, 991/253

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 856/22,549/86,991/253

Given fractions are 856/22,549/86,991/253

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 856,549,991

Greatest Common Factor of Numerators i.e. GCF of 856,549,991 is 1 .

LCM of Denominators means LCM of 22,86,253 as per the given fractions.

LCM of 22,86,253 is 21758 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 856,549,991

GCF of Fractions 856/22,549/86,991/253 is 1/21758

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

Greatest Common Factor of 856,549,991 By Matching Biggest Common Factor Method

Greatest Common Factor of 856,549,991 By Matching Biggest Common Factor Method

Factors of 856

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

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

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Greatest Common Factor

We found the factors 856,549,991 . The biggest common factor number is the GCF number.
So the greatest common factor 856,549,991 is 1.

Lets's calculate LCM of 22,86,253

2 22, 86, 253
11 11, 43, 253
1, 43, 23

∴ So the LCM of the given numbers is 2 x 11 x 1 x 43 x 23 = 21758

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21758

Therefore, the GCF of Fractions 856/22,549/86,991/253 is 1/21758

Least Common Multiple of 22,86,253 with GCF Formula

Least Common Multiple of 22,86,253 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 22,86,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,86,253) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(22,86,253) x common factors =1 x 22 = 22

LCM(22,86,253) = ( 22 × 86 × 253 ) / 22

LCM(22,86,253) = 478676 / 22

LCM(22,86,253) = 21758


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 856/22, 549/86, 991/253

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 856/22, 549/86, 991/253?

Answer: GCF of Numerators as per given numbers 856/22, 549/86, 991/253 is

GCF of Numerators i.e. for 856,549,991 is 1

LCM of denominators i.e. for 22,86,253 is 21758.

Thus, GCF of Fractions is 1/21758.Finally, GCF of Fractions for 856/22, 549/86, 991/253 is 1/21758.