Greatest Common Factor of 164/623, 106/258, 817/147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 164/623, 106/258, 817/147

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 164/623,106/258,817/147

Given fractions are 164/623,106/258,817/147

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 164,106,817

Greatest Common Factor of Numerators i.e. GCF of 164,106,817 is 1 .

LCM of Denominators means LCM of 623,258,147 as per the given fractions.

LCM of 623,258,147 is 1125138 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 164,106,817

GCF of Fractions 164/623,106/258,817/147 is 1/1125138

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 164,106,817 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,106,817 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 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Greatest Common Factor

We found the factors 164,106,817 . The biggest common factor number is the GCF number.
So the greatest common factor 164,106,817 is 1.

Lets's calculate LCM of 623,258,147

3 623, 258, 147
7 623, 86, 49
89, 86, 7

∴ So the LCM of the given numbers is 3 x 7 x 89 x 86 x 7 = 1125138

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1125138

Therefore, the GCF of Fractions 164/623,106/258,817/147 is 1/1125138

Least Common Multiple of 623,258,147 with GCF Formula

Least Common Multiple of 623,258,147 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 623,258,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(623,258,147) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(623,258,147) x common factors =1 x 21 = 21

LCM(623,258,147) = ( 623 × 258 × 147 ) / 21

LCM(623,258,147) = 23627898 / 21

LCM(623,258,147) = 1125138


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 164/623, 106/258, 817/147

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 164/623, 106/258, 817/147?

Answer: GCF of Numerators as per given numbers 164/623, 106/258, 817/147 is

GCF of Numerators i.e. for 164,106,817 is 1

LCM of denominators i.e. for 623,258,147 is 1125138.

Thus, GCF of Fractions is 1/1125138.Finally, GCF of Fractions for 164/623, 106/258, 817/147 is 1/1125138.