Greatest Common Factor of 756/72, 462/69, 880/16

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 756/72, 462/69, 880/16

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 756/72,462/69,880/16

Given fractions are 756/72,462/69,880/16

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 756,462,880

Greatest Common Factor of Numerators i.e. GCF of 756,462,880 is 2 .

LCM of Denominators means LCM of 72,69,16 as per the given fractions.

LCM of 72,69,16 is 3312 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 756,462,880

GCF of Fractions 756/72,462/69,880/16 is 2/3312

2 756, 462, 880
378, 231, 440

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

Greatest Common Factor of 756,462,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,462,880 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 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 756,462,880 . The biggest common factor number is the GCF number.
So the greatest common factor 756,462,880 is 2.

Lets's calculate LCM of 72,69,16

2 72, 69, 16
2 36, 69, 8
2 18, 69, 4
3 9, 69, 2
3, 23, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 23 x 2 = 3312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3312

Therefore, the GCF of Fractions 756/72,462/69,880/16 is 2/3312

Least Common Multiple of 72,69,16 with GCF Formula

Least Common Multiple of 72,69,16 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 72,69,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,69,16) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(72,69,16) x common factors =1 x 24 = 24

LCM(72,69,16) = ( 72 × 69 × 16 ) / 24

LCM(72,69,16) = 79488 / 24

LCM(72,69,16) = 3312


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, 462/69, 880/16

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, 462/69, 880/16?

Answer: GCF of Numerators as per given numbers 756/72, 462/69, 880/16 is

GCF of Numerators i.e. for 756,462,880 is 2

LCM of denominators i.e. for 72,69,16 is 3312.

Thus, GCF of Fractions is 2/3312.Finally, GCF of Fractions for 756/72, 462/69, 880/16 is 2/3312.