Greatest Common Factor of 30/661, 48/876, 165/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/661, 48/876, 165/985

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 30/661,48/876,165/985

Given fractions are 30/661,48/876,165/985

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 30,48,165

Greatest Common Factor of Numerators i.e. GCF of 30,48,165 is 3 .

LCM of Denominators means LCM of 661,876,985 as per the given fractions.

LCM of 661,876,985 is 570350460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,48,165

GCF of Fractions 30/661,48/876,165/985 is 3/570350460

3 30, 48, 165
10, 16, 55

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

Greatest Common Factor of 30,48,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,48,165 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Greatest Common Factor

We found the factors 30,48,165 . The biggest common factor number is the GCF number.
So the greatest common factor 30,48,165 is 3.

Lets's calculate LCM of 661,876,985

Given numbers has no common factors except 1. So, there LCM is their product i.e 570350460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/570350460

Therefore, the GCF of Fractions 30/661,48/876,165/985 is 3/570350460

Least Common Multiple of 661,876,985 with GCF Formula

Least Common Multiple of 661,876,985 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 661,876,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,876,985) = 1

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

GCF(661,876,985) x common factors =1 x 1 = 1

LCM(661,876,985) = ( 661 × 876 × 985 ) / 1

LCM(661,876,985) = 570350460 / 1

LCM(661,876,985) = 570350460


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 30/661, 48/876, 165/985

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 30/661, 48/876, 165/985?

Answer: GCF of Numerators as per given numbers 30/661, 48/876, 165/985 is

GCF of Numerators i.e. for 30,48,165 is 3

LCM of denominators i.e. for 661,876,985 is 570350460.

Thus, GCF of Fractions is 3/570350460.Finally, GCF of Fractions for 30/661, 48/876, 165/985 is 3/570350460.