Greatest Common Factor of 580/153, 776/125, 210/691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 580/153, 776/125, 210/691

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 580/153,776/125,210/691

Given fractions are 580/153,776/125,210/691

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 580,776,210

Greatest Common Factor of Numerators i.e. GCF of 580,776,210 is 2 .

LCM of Denominators means LCM of 153,125,691 as per the given fractions.

LCM of 153,125,691 is 13215375 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 580,776,210

GCF of Fractions 580/153,776/125,210/691 is 2/13215375

2 580, 776, 210
290, 388, 105

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

Greatest Common Factor of 580,776,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,776,210 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 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 580,776,210 . The biggest common factor number is the GCF number.
So the greatest common factor 580,776,210 is 2.

Lets's calculate LCM of 153,125,691

Given numbers has no common factors except 1. So, there LCM is their product i.e 13215375

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13215375

Therefore, the GCF of Fractions 580/153,776/125,210/691 is 2/13215375

Least Common Multiple of 153,125,691 with GCF Formula

Least Common Multiple of 153,125,691 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 153,125,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(153,125,691) = 1

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

GCF(153,125,691) x common factors =1 x 1 = 1

LCM(153,125,691) = ( 153 × 125 × 691 ) / 1

LCM(153,125,691) = 13215375 / 1

LCM(153,125,691) = 13215375


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 580/153, 776/125, 210/691

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 580/153, 776/125, 210/691?

Answer: GCF of Numerators as per given numbers 580/153, 776/125, 210/691 is

GCF of Numerators i.e. for 580,776,210 is 2

LCM of denominators i.e. for 153,125,691 is 13215375.

Thus, GCF of Fractions is 2/13215375.Finally, GCF of Fractions for 580/153, 776/125, 210/691 is 2/13215375.