Greatest Common Factor of 987/685, 660/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 987/685, 660/300

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 987/685,660/300

Given fractions are 987/685,660/300

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 987,660

Greatest Common Factor of Numerators i.e. GCF of 987,660 is 3 .

LCM of Denominators means LCM of 685,300 as per the given fractions.

LCM of 685,300 is 41100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 987,660

GCF of Fractions 987/685,660/300 is 3/41100

3 987, 660
329, 220

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 987,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,660 By Matching Biggest Common Factor Method

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors 987,660 . The biggest common factor number is the GCF number.
So the greatest common factor 987,660 is 3.

Lets's calculate LCM of 685,300

5 685, 300
137, 60

∴ So the LCM of the given numbers is 5 x 137 x 60 = 41100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/41100

Therefore, the GCF of Fractions 987/685,660/300 is 3/41100

Least Common Multiple of 685,300 with GCF Formula

Least Common Multiple of 685,300 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 685,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,300) = 5

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

GCF(685,300) x common factors =5 x 1 = 5

LCM(685,300) = ( 685 × 300 ) / 5

LCM(685,300) = 205500 / 5

LCM(685,300) = 41100


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 987/685, 660/300

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 987/685, 660/300?

Answer: GCF of Numerators as per given numbers 987/685, 660/300 is

GCF of Numerators i.e. for 987,660 is 3

LCM of denominators i.e. for 685,300 is 41100.

Thus, GCF of Fractions is 3/41100.Finally, GCF of Fractions for 987/685, 660/300 is 3/41100.