Greatest Common Factor of 660/59, 510/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 660/59, 510/130

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 660/59,510/130

Given fractions are 660/59,510/130

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 660,510

Greatest Common Factor of Numerators i.e. GCF of 660,510 is 30 .

LCM of Denominators means LCM of 59,130 as per the given fractions.

LCM of 59,130 is 7670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 660,510

GCF of Fractions 660/59,510/130 is 30/7670

2 660, 510
3 330, 255
5 110, 85
22, 17

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Greatest Common Factor of 660,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,510 By Matching Biggest Common Factor Method

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

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors 660,510 . The biggest common factor number is the GCF number.
So the greatest common factor 660,510 is 30.

Lets's calculate LCM of 59,130

Given numbers has no common factors except 1. So, there LCM is their product i.e 7670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/7670

Therefore, the GCF of Fractions 660/59,510/130 is 30/7670

Least Common Multiple of 59,130 with GCF Formula

Least Common Multiple of 59,130 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 59,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,130) = 1

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

GCF(59,130) x common factors =1 x 1 = 1

LCM(59,130) = ( 59 × 130 ) / 1

LCM(59,130) = 7670 / 1

LCM(59,130) = 7670


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 660/59, 510/130

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 660/59, 510/130?

Answer: GCF of Numerators as per given numbers 660/59, 510/130 is

GCF of Numerators i.e. for 660,510 is 30

LCM of denominators i.e. for 59,130 is 7670.

Thus, GCF of Fractions is 30/7670.Finally, GCF of Fractions for 660/59, 510/130 is 30/7670.