Greatest Common Factor of 4/64, 56/40, 80/558, 768/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/64, 56/40, 80/558, 768/765

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 4/64,56/40,80/558,768/765

Given fractions are 4/64,56/40,80/558,768/765

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 4,56,80,768

Greatest Common Factor of Numerators i.e. GCF of 4,56,80,768 is 4 .

LCM of Denominators means LCM of 64,40,558,765 as per the given fractions.

LCM of 64,40,558,765 is 1517760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,56,80,768

GCF of Fractions 4/64,56/40,80/558,768/765 is 4/1517760

2 4, 56, 80, 768
2 2, 28, 40, 384
1, 14, 20, 192

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4,56,80,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,56,80,768 By Matching Biggest Common Factor Method

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 4,56,80,768 . The biggest common factor number is the GCF number.
So the greatest common factor 4,56,80,768 is 4.

Lets's calculate LCM of 64,40,558,765

2 64, 40, 558, 765
2 32, 20, 279, 765
2 16, 10, 279, 765
3 8, 5, 279, 765
3 8, 5, 93, 255
5 8, 5, 31, 85
8, 1, 31, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 5 x 8 x 1 x 31 x 17 = 1517760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1517760

Therefore, the GCF of Fractions 4/64,56/40,80/558,768/765 is 4/1517760

Least Common Multiple of 64,40,558,765 with GCF Formula

Least Common Multiple of 64,40,558,765 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 64,40,558,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,40,558,765) = 1

common factors(in case of two or more numbers have common factors) = 720

GCF(64,40,558,765) x common factors =1 x 720 = 720

LCM(64,40,558,765) = ( 64 × 40 × 558 × 765 ) / 720

LCM(64,40,558,765) = 1092787200 / 720

LCM(64,40,558,765) = 1517760


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 4/64, 56/40, 80/558, 768/765

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 4/64, 56/40, 80/558, 768/765?

Answer: GCF of Numerators as per given numbers 4/64, 56/40, 80/558, 768/765 is

GCF of Numerators i.e. for 4,56,80,768 is 4

LCM of denominators i.e. for 64,40,558,765 is 1517760.

Thus, GCF of Fractions is 4/1517760.Finally, GCF of Fractions for 4/64, 56/40, 80/558, 768/765 is 4/1517760.