Greatest Common Factor of 92/414, 23/557, 106/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 92/414, 23/557, 106/300

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 92/414,23/557,106/300

Given fractions are 92/414,23/557,106/300

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 92,23,106

Greatest Common Factor of Numerators i.e. GCF of 92,23,106 is 1 .

LCM of Denominators means LCM of 414,557,300 as per the given fractions.

LCM of 414,557,300 is 11529900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 92,23,106

GCF of Fractions 92/414,23/557,106/300 is 1/11529900

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

Greatest Common Factor of 92,23,106 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,23,106 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 106

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

1,2,53,106

Greatest Common Factor

We found the factors 92,23,106 . The biggest common factor number is the GCF number.
So the greatest common factor 92,23,106 is 1.

Lets's calculate LCM of 414,557,300

2 414, 557, 300
3 207, 557, 150
69, 557, 50

∴ So the LCM of the given numbers is 2 x 3 x 69 x 557 x 50 = 11529900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11529900

Therefore, the GCF of Fractions 92/414,23/557,106/300 is 1/11529900

Least Common Multiple of 414,557,300 with GCF Formula

Least Common Multiple of 414,557,300 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 414,557,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,557,300) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(414,557,300) x common factors =1 x 6 = 6

LCM(414,557,300) = ( 414 × 557 × 300 ) / 6

LCM(414,557,300) = 69179400 / 6

LCM(414,557,300) = 11529900


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 92/414, 23/557, 106/300

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 92/414, 23/557, 106/300?

Answer: GCF of Numerators as per given numbers 92/414, 23/557, 106/300 is

GCF of Numerators i.e. for 92,23,106 is 1

LCM of denominators i.e. for 414,557,300 is 11529900.

Thus, GCF of Fractions is 1/11529900.Finally, GCF of Fractions for 92/414, 23/557, 106/300 is 1/11529900.