Greatest Common Factor of 1086/25, 6954/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1086/25, 6954/213

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 1086/25,6954/213

Given fractions are 1086/25,6954/213

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 1086,6954

Greatest Common Factor of Numerators i.e. GCF of 1086,6954 is 6 .

LCM of Denominators means LCM of 25,213 as per the given fractions.

LCM of 25,213 is 5325 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1086,6954

GCF of Fractions 1086/25,6954/213 is 6/5325

2 1086, 6954
3 543, 3477
181, 1159

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 1086,6954 By Matching Biggest Common Factor Method

Greatest Common Factor of 1086,6954 By Matching Biggest Common Factor Method

Factors of 1086

List of positive integer factors of 1086 that divides 1086 without a remainder.

1,2,3,6,181,362,543,1086

Factors of 6954

List of positive integer factors of 6954 that divides 6954 without a remainder.

1,2,3,6,19,38,57,61,114,122,183,366,1159,2318,3477,6954

Greatest Common Factor

We found the factors 1086,6954 . The biggest common factor number is the GCF number.
So the greatest common factor 1086,6954 is 6.

Lets's calculate LCM of 25,213

Given numbers has no common factors except 1. So, there LCM is their product i.e 5325

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/5325

Therefore, the GCF of Fractions 1086/25,6954/213 is 6/5325

Least Common Multiple of 25,213 with GCF Formula

Least Common Multiple of 25,213 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 25,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,213) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(25,213) x common factors =1 x 1 = 1

LCM(25,213) = ( 25 × 213 ) / 1

LCM(25,213) = 5325 / 1

LCM(25,213) = 5325


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 1086/25, 6954/213

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 1086/25, 6954/213?

Answer: GCF of Numerators as per given numbers 1086/25, 6954/213 is

GCF of Numerators i.e. for 1086,6954 is 6

LCM of denominators i.e. for 25,213 is 5325.

Thus, GCF of Fractions is 6/5325.Finally, GCF of Fractions for 1086/25, 6954/213 is 6/5325.