Greatest Common Factor of 756/72, 814/22, 696/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 756/72, 814/22, 696/366

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 756/72,814/22,696/366

Given fractions are 756/72,814/22,696/366

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 756,814,696

Greatest Common Factor of Numerators i.e. GCF of 756,814,696 is 2 .

LCM of Denominators means LCM of 72,22,366 as per the given fractions.

LCM of 72,22,366 is 48312 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 756,814,696

GCF of Fractions 756/72,814/22,696/366 is 2/48312

2 756, 814, 696
378, 407, 348

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 756,814,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,814,696 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 756,814,696 . The biggest common factor number is the GCF number.
So the greatest common factor 756,814,696 is 2.

Lets's calculate LCM of 72,22,366

2 72, 22, 366
3 36, 11, 183
12, 11, 61

∴ So the LCM of the given numbers is 2 x 3 x 12 x 11 x 61 = 48312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/48312

Therefore, the GCF of Fractions 756/72,814/22,696/366 is 2/48312

Least Common Multiple of 72,22,366 with GCF Formula

Least Common Multiple of 72,22,366 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 72,22,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,22,366) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(72,22,366) x common factors =2 x 6 = 12

LCM(72,22,366) = ( 72 × 22 × 366 ) / 12

LCM(72,22,366) = 579744 / 12

LCM(72,22,366) = 48312


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 756/72, 814/22, 696/366

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 756/72, 814/22, 696/366?

Answer: GCF of Numerators as per given numbers 756/72, 814/22, 696/366 is

GCF of Numerators i.e. for 756,814,696 is 2

LCM of denominators i.e. for 72,22,366 is 48312.

Thus, GCF of Fractions is 2/48312.Finally, GCF of Fractions for 756/72, 814/22, 696/366 is 2/48312.