Greatest Common Factor of 6/92, 84/54, 49/307, 251/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/92, 84/54, 49/307, 251/764

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 6/92,84/54,49/307,251/764

Given fractions are 6/92,84/54,49/307,251/764

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 6,84,49,251

Greatest Common Factor of Numerators i.e. GCF of 6,84,49,251 is 1 .

LCM of Denominators means LCM of 92,54,307,764 as per the given fractions.

LCM of 92,54,307,764 is 145654308 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,84,49,251

GCF of Fractions 6/92,84/54,49/307,251/764 is 1/145654308

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

Greatest Common Factor of 6,84,49,251 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,84,49,251 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Greatest Common Factor

We found the factors 6,84,49,251 . The biggest common factor number is the GCF number.
So the greatest common factor 6,84,49,251 is 1.

Lets's calculate LCM of 92,54,307,764

2 92, 54, 307, 764
2 46, 27, 307, 382
23, 27, 307, 191

∴ So the LCM of the given numbers is 2 x 2 x 23 x 27 x 307 x 191 = 145654308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145654308

Therefore, the GCF of Fractions 6/92,84/54,49/307,251/764 is 1/145654308

Least Common Multiple of 92,54,307,764 with GCF Formula

Least Common Multiple of 92,54,307,764 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 92,54,307,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,54,307,764) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(92,54,307,764) x common factors =1 x 8 = 8

LCM(92,54,307,764) = ( 92 × 54 × 307 × 764 ) / 8

LCM(92,54,307,764) = 1165234464 / 8

LCM(92,54,307,764) = 145654308


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 6/92, 84/54, 49/307, 251/764

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 6/92, 84/54, 49/307, 251/764?

Answer: GCF of Numerators as per given numbers 6/92, 84/54, 49/307, 251/764 is

GCF of Numerators i.e. for 6,84,49,251 is 1

LCM of denominators i.e. for 92,54,307,764 is 145654308.

Thus, GCF of Fractions is 1/145654308.Finally, GCF of Fractions for 6/92, 84/54, 49/307, 251/764 is 1/145654308.