Greatest Common Factor of 295/92, 996/67, 676/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 295/92, 996/67, 676/384

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 295/92,996/67,676/384

Given fractions are 295/92,996/67,676/384

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 295,996,676

Greatest Common Factor of Numerators i.e. GCF of 295,996,676 is 1 .

LCM of Denominators means LCM of 92,67,384 as per the given fractions.

LCM of 92,67,384 is 591744 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 295,996,676

GCF of Fractions 295/92,996/67,676/384 is 1/591744

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

Greatest Common Factor of 295,996,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 295,996,676 By Matching Biggest Common Factor Method

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 295,996,676 . The biggest common factor number is the GCF number.
So the greatest common factor 295,996,676 is 1.

Lets's calculate LCM of 92,67,384

2 92, 67, 384
2 46, 67, 192
23, 67, 96

∴ So the LCM of the given numbers is 2 x 2 x 23 x 67 x 96 = 591744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/591744

Therefore, the GCF of Fractions 295/92,996/67,676/384 is 1/591744

Least Common Multiple of 92,67,384 with GCF Formula

Least Common Multiple of 92,67,384 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 92,67,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,67,384) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(92,67,384) x common factors =1 x 4 = 4

LCM(92,67,384) = ( 92 × 67 × 384 ) / 4

LCM(92,67,384) = 2366976 / 4

LCM(92,67,384) = 591744


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 295/92, 996/67, 676/384

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 295/92, 996/67, 676/384?

Answer: GCF of Numerators as per given numbers 295/92, 996/67, 676/384 is

GCF of Numerators i.e. for 295,996,676 is 1

LCM of denominators i.e. for 92,67,384 is 591744.

Thus, GCF of Fractions is 1/591744.Finally, GCF of Fractions for 295/92, 996/67, 676/384 is 1/591744.