Greatest Common Factor of 164/28, 928/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 164/28, 928/130

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 164/28,928/130

Given fractions are 164/28,928/130

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 164,928

Greatest Common Factor of Numerators i.e. GCF of 164,928 is 4 .

LCM of Denominators means LCM of 28,130 as per the given fractions.

LCM of 28,130 is 1820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 164,928

GCF of Fractions 164/28,928/130 is 4/1820

2 164, 928
2 82, 464
41, 232

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 164,928 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,928 By Matching Biggest Common Factor Method

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Greatest Common Factor

We found the factors 164,928 . The biggest common factor number is the GCF number.
So the greatest common factor 164,928 is 4.

Lets's calculate LCM of 28,130

2 28, 130
14, 65

∴ So the LCM of the given numbers is 2 x 14 x 65 = 1820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1820

Therefore, the GCF of Fractions 164/28,928/130 is 4/1820

Least Common Multiple of 28,130 with GCF Formula

Least Common Multiple of 28,130 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 28,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,130) = 2

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

GCF(28,130) x common factors =2 x 1 = 2

LCM(28,130) = ( 28 × 130 ) / 2

LCM(28,130) = 3640 / 2

LCM(28,130) = 1820


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 164/28, 928/130

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 164/28, 928/130?

Answer: GCF of Numerators as per given numbers 164/28, 928/130 is

GCF of Numerators i.e. for 164,928 is 4

LCM of denominators i.e. for 28,130 is 1820.

Thus, GCF of Fractions is 4/1820.Finally, GCF of Fractions for 164/28, 928/130 is 4/1820.