Greatest Common Factor of 780/152, 366/480, 431/477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 780/152, 366/480, 431/477

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 780/152,366/480,431/477

Given fractions are 780/152,366/480,431/477

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 780,366,431

Greatest Common Factor of Numerators i.e. GCF of 780,366,431 is 1 .

LCM of Denominators means LCM of 152,480,477 as per the given fractions.

LCM of 152,480,477 is 1450080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 780,366,431

GCF of Fractions 780/152,366/480,431/477 is 1/1450080

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

Greatest Common Factor of 780,366,431 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,366,431 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 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Greatest Common Factor

We found the factors 780,366,431 . The biggest common factor number is the GCF number.
So the greatest common factor 780,366,431 is 1.

Lets's calculate LCM of 152,480,477

2 152, 480, 477
2 76, 240, 477
2 38, 120, 477
3 19, 60, 477
19, 20, 159

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 19 x 20 x 159 = 1450080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1450080

Therefore, the GCF of Fractions 780/152,366/480,431/477 is 1/1450080

Least Common Multiple of 152,480,477 with GCF Formula

Least Common Multiple of 152,480,477 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 152,480,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,480,477) = 1

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

GCF(152,480,477) x common factors =1 x 24 = 24

LCM(152,480,477) = ( 152 × 480 × 477 ) / 24

LCM(152,480,477) = 34801920 / 24

LCM(152,480,477) = 1450080


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 780/152, 366/480, 431/477

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 780/152, 366/480, 431/477?

Answer: GCF of Numerators as per given numbers 780/152, 366/480, 431/477 is

GCF of Numerators i.e. for 780,366,431 is 1

LCM of denominators i.e. for 152,480,477 is 1450080.

Thus, GCF of Fractions is 1/1450080.Finally, GCF of Fractions for 780/152, 366/480, 431/477 is 1/1450080.