Greatest Common Factor of 580/379, 630/377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 580/379, 630/377

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 580/379,630/377

Given fractions are 580/379,630/377

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 580,630

Greatest Common Factor of Numerators i.e. GCF of 580,630 is 10 .

LCM of Denominators means LCM of 379,377 as per the given fractions.

LCM of 379,377 is 142883 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 580,630

GCF of Fractions 580/379,630/377 is 10/142883

2 580, 630
5 290, 315
58, 63

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 580,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,630 By Matching Biggest Common Factor Method

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 580,630 . The biggest common factor number is the GCF number.
So the greatest common factor 580,630 is 10.

Lets's calculate LCM of 379,377

Given numbers has no common factors except 1. So, there LCM is their product i.e 142883

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/142883

Therefore, the GCF of Fractions 580/379,630/377 is 10/142883

Least Common Multiple of 379,377 with GCF Formula

Least Common Multiple of 379,377 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 379,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,377) = 1

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

GCF(379,377) x common factors =1 x 1 = 1

LCM(379,377) = ( 379 × 377 ) / 1

LCM(379,377) = 142883 / 1

LCM(379,377) = 142883


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 580/379, 630/377

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 580/379, 630/377?

Answer: GCF of Numerators as per given numbers 580/379, 630/377 is

GCF of Numerators i.e. for 580,630 is 10

LCM of denominators i.e. for 379,377 is 142883.

Thus, GCF of Fractions is 10/142883.Finally, GCF of Fractions for 580/379, 630/377 is 10/142883.