Greatest Common Factor of 780/533, 8768/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 780/533, 8768/764

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 780/533,8768/764

Given fractions are 780/533,8768/764

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 780,8768

Greatest Common Factor of Numerators i.e. GCF of 780,8768 is 4 .

LCM of Denominators means LCM of 533,764 as per the given fractions.

LCM of 533,764 is 407212 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 780,8768

GCF of Fractions 780/533,8768/764 is 4/407212

2 780, 8768
2 390, 4384
195, 2192

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

Greatest Common Factor of 780,8768 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,8768 By Matching Biggest Common Factor Method

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 8768

List of positive integer factors of 8768 that divides 8768 without a remainder.

1,2,4,8,16,32,64,137,274,548,1096,2192,4384,8768

Greatest Common Factor

We found the factors 780,8768 . The biggest common factor number is the GCF number.
So the greatest common factor 780,8768 is 4.

Lets's calculate LCM of 533,764

Given numbers has no common factors except 1. So, there LCM is their product i.e 407212

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/407212

Therefore, the GCF of Fractions 780/533,8768/764 is 4/407212

Least Common Multiple of 533,764 with GCF Formula

Least Common Multiple of 533,764 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 533,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(533,764) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(533,764) x common factors =1 x 1 = 1

LCM(533,764) = ( 533 × 764 ) / 1

LCM(533,764) = 407212 / 1

LCM(533,764) = 407212


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 780/533, 8768/764

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 780/533, 8768/764?

Answer: GCF of Numerators as per given numbers 780/533, 8768/764 is

GCF of Numerators i.e. for 780,8768 is 4

LCM of denominators i.e. for 533,764 is 407212.

Thus, GCF of Fractions is 4/407212.Finally, GCF of Fractions for 780/533, 8768/764 is 4/407212.