Greatest Common Factor of 92/30, 170/70, 463/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 92/30, 170/70, 463/586

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 92/30,170/70,463/586

Given fractions are 92/30,170/70,463/586

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 92,170,463

Greatest Common Factor of Numerators i.e. GCF of 92,170,463 is 1 .

LCM of Denominators means LCM of 30,70,586 as per the given fractions.

LCM of 30,70,586 is 61530 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 92,170,463

GCF of Fractions 92/30,170/70,463/586 is 1/61530

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

Greatest Common Factor of 92,170,463 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,170,463 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 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Greatest Common Factor

We found the factors 92,170,463 . The biggest common factor number is the GCF number.
So the greatest common factor 92,170,463 is 1.

Lets's calculate LCM of 30,70,586

2 30, 70, 586
5 15, 35, 293
3, 7, 293

∴ So the LCM of the given numbers is 2 x 5 x 3 x 7 x 293 = 61530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61530

Therefore, the GCF of Fractions 92/30,170/70,463/586 is 1/61530

Least Common Multiple of 30,70,586 with GCF Formula

Least Common Multiple of 30,70,586 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 30,70,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,70,586) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(30,70,586) x common factors =2 x 10 = 20

LCM(30,70,586) = ( 30 × 70 × 586 ) / 20

LCM(30,70,586) = 1230600 / 20

LCM(30,70,586) = 61530


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 92/30, 170/70, 463/586

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 92/30, 170/70, 463/586?

Answer: GCF of Numerators as per given numbers 92/30, 170/70, 463/586 is

GCF of Numerators i.e. for 92,170,463 is 1

LCM of denominators i.e. for 30,70,586 is 61530.

Thus, GCF of Fractions is 1/61530.Finally, GCF of Fractions for 92/30, 170/70, 463/586 is 1/61530.