Greatest Common Factor of 166/30, 130/93, 628/21

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 166/30, 130/93, 628/21

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 166/30,130/93,628/21

Given fractions are 166/30,130/93,628/21

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 166,130,628

Greatest Common Factor of Numerators i.e. GCF of 166,130,628 is 2 .

LCM of Denominators means LCM of 30,93,21 as per the given fractions.

LCM of 30,93,21 is 6510 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 166,130,628

GCF of Fractions 166/30,130/93,628/21 is 2/6510

2 166, 130, 628
83, 65, 314

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

Greatest Common Factor of 166,130,628 By Matching Biggest Common Factor Method

Greatest Common Factor of 166,130,628 By Matching Biggest Common Factor Method

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Greatest Common Factor

We found the factors 166,130,628 . The biggest common factor number is the GCF number.
So the greatest common factor 166,130,628 is 2.

Lets's calculate LCM of 30,93,21

3 30, 93, 21
10, 31, 7

∴ So the LCM of the given numbers is 3 x 10 x 31 x 7 = 6510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6510

Therefore, the GCF of Fractions 166/30,130/93,628/21 is 2/6510

Least Common Multiple of 30,93,21 with GCF Formula

Least Common Multiple of 30,93,21 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 30,93,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,93,21) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(30,93,21) x common factors =3 x 3 = 9

LCM(30,93,21) = ( 30 × 93 × 21 ) / 9

LCM(30,93,21) = 58590 / 9

LCM(30,93,21) = 6510


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 166/30, 130/93, 628/21

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 166/30, 130/93, 628/21?

Answer: GCF of Numerators as per given numbers 166/30, 130/93, 628/21 is

GCF of Numerators i.e. for 166,130,628 is 2

LCM of denominators i.e. for 30,93,21 is 6510.

Thus, GCF of Fractions is 2/6510.Finally, GCF of Fractions for 166/30, 130/93, 628/21 is 2/6510.