Greatest Common Factor of 5406/68, 1926/151

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5406/68, 1926/151

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 5406/68,1926/151

Given fractions are 5406/68,1926/151

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 5406,1926

Greatest Common Factor of Numerators i.e. GCF of 5406,1926 is 6 .

LCM of Denominators means LCM of 68,151 as per the given fractions.

LCM of 68,151 is 10268 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5406,1926

GCF of Fractions 5406/68,1926/151 is 6/10268

2 5406, 1926
3 2703, 963
901, 321

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

Greatest Common Factor of 5406,1926 By Matching Biggest Common Factor Method

Greatest Common Factor of 5406,1926 By Matching Biggest Common Factor Method

Factors of 5406

List of positive integer factors of 5406 that divides 5406 without a remainder.

1,2,3,6,17,34,51,53,102,106,159,318,901,1802,2703,5406

Factors of 1926

List of positive integer factors of 1926 that divides 1926 without a remainder.

1,2,3,6,9,18,107,214,321,642,963,1926

Greatest Common Factor

We found the factors 5406,1926 . The biggest common factor number is the GCF number.
So the greatest common factor 5406,1926 is 6.

Lets's calculate LCM of 68,151

Given numbers has no common factors except 1. So, there LCM is their product i.e 10268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/10268

Therefore, the GCF of Fractions 5406/68,1926/151 is 6/10268

Least Common Multiple of 68,151 with GCF Formula

Least Common Multiple of 68,151 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 68,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,151) = 1

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

GCF(68,151) x common factors =1 x 1 = 1

LCM(68,151) = ( 68 × 151 ) / 1

LCM(68,151) = 10268 / 1

LCM(68,151) = 10268


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 5406/68, 1926/151

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 5406/68, 1926/151?

Answer: GCF of Numerators as per given numbers 5406/68, 1926/151 is

GCF of Numerators i.e. for 5406,1926 is 6

LCM of denominators i.e. for 68,151 is 10268.

Thus, GCF of Fractions is 6/10268.Finally, GCF of Fractions for 5406/68, 1926/151 is 6/10268.