Greatest Common Factor of 164/93, 414/56, 889/558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 164/93, 414/56, 889/558

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 164/93,414/56,889/558

Given fractions are 164/93,414/56,889/558

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 164,414,889

Greatest Common Factor of Numerators i.e. GCF of 164,414,889 is 1 .

LCM of Denominators means LCM of 93,56,558 as per the given fractions.

LCM of 93,56,558 is 15624 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 164,414,889

GCF of Fractions 164/93,414/56,889/558 is 1/15624

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

Greatest Common Factor of 164,414,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,414,889 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 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors 164,414,889 . The biggest common factor number is the GCF number.
So the greatest common factor 164,414,889 is 1.

Lets's calculate LCM of 93,56,558

2 93, 56, 558
3 93, 28, 279
31 31, 28, 93
1, 28, 3

∴ So the LCM of the given numbers is 2 x 3 x 31 x 1 x 28 x 3 = 15624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15624

Therefore, the GCF of Fractions 164/93,414/56,889/558 is 1/15624

Least Common Multiple of 93,56,558 with GCF Formula

Least Common Multiple of 93,56,558 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 93,56,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,56,558) = 1

common factors(in case of two or more numbers have common factors) = 186

GCF(93,56,558) x common factors =1 x 186 = 186

LCM(93,56,558) = ( 93 × 56 × 558 ) / 186

LCM(93,56,558) = 2906064 / 186

LCM(93,56,558) = 15624


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 164/93, 414/56, 889/558

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 164/93, 414/56, 889/558?

Answer: GCF of Numerators as per given numbers 164/93, 414/56, 889/558 is

GCF of Numerators i.e. for 164,414,889 is 1

LCM of denominators i.e. for 93,56,558 is 15624.

Thus, GCF of Fractions is 1/15624.Finally, GCF of Fractions for 164/93, 414/56, 889/558 is 1/15624.