Greatest Common Factor of 487/210, 606/310, 591/639

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 487/210, 606/310, 591/639

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 487/210,606/310,591/639

Given fractions are 487/210,606/310,591/639

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 487,606,591

Greatest Common Factor of Numerators i.e. GCF of 487,606,591 is 1 .

LCM of Denominators means LCM of 210,310,639 as per the given fractions.

LCM of 210,310,639 is 1386630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 487,606,591

GCF of Fractions 487/210,606/310,591/639 is 1/1386630

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

Greatest Common Factor of 487,606,591 By Matching Biggest Common Factor Method

Greatest Common Factor of 487,606,591 By Matching Biggest Common Factor Method

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Greatest Common Factor

We found the factors 487,606,591 . The biggest common factor number is the GCF number.
So the greatest common factor 487,606,591 is 1.

Lets's calculate LCM of 210,310,639

2 210, 310, 639
3 105, 155, 639
5 35, 155, 213
7, 31, 213

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 31 x 213 = 1386630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1386630

Therefore, the GCF of Fractions 487/210,606/310,591/639 is 1/1386630

Least Common Multiple of 210,310,639 with GCF Formula

Least Common Multiple of 210,310,639 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 210,310,639 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,310,639) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(210,310,639) x common factors =1 x 30 = 30

LCM(210,310,639) = ( 210 × 310 × 639 ) / 30

LCM(210,310,639) = 41598900 / 30

LCM(210,310,639) = 1386630


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 487/210, 606/310, 591/639

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 487/210, 606/310, 591/639?

Answer: GCF of Numerators as per given numbers 487/210, 606/310, 591/639 is

GCF of Numerators i.e. for 487,606,591 is 1

LCM of denominators i.e. for 210,310,639 is 1386630.

Thus, GCF of Fractions is 1/1386630.Finally, GCF of Fractions for 487/210, 606/310, 591/639 is 1/1386630.