Greatest Common Factor of 58/463, 6359/4170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 58/463, 6359/4170

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 58/463,6359/4170

Given fractions are 58/463,6359/4170

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 58,6359

Greatest Common Factor of Numerators i.e. GCF of 58,6359 is 1 .

LCM of Denominators means LCM of 463,4170 as per the given fractions.

LCM of 463,4170 is 1930710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 58,6359

GCF of Fractions 58/463,6359/4170 is 1/1930710

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

Greatest Common Factor of 58,6359 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,6359 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 6359

List of positive integer factors of 6359 that divides 6359 without a remainder.

1,6359

Greatest Common Factor

We found the factors 58,6359 . The biggest common factor number is the GCF number.
So the greatest common factor 58,6359 is 1.

Lets's calculate LCM of 463,4170

Given numbers has no common factors except 1. So, there LCM is their product i.e 1930710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1930710

Therefore, the GCF of Fractions 58/463,6359/4170 is 1/1930710

Least Common Multiple of 463,4170 with GCF Formula

Least Common Multiple of 463,4170 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 463,4170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,4170) = 1

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

GCF(463,4170) x common factors =1 x 1 = 1

LCM(463,4170) = ( 463 × 4170 ) / 1

LCM(463,4170) = 1930710 / 1

LCM(463,4170) = 1930710


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 58/463, 6359/4170

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 58/463, 6359/4170?

Answer: GCF of Numerators as per given numbers 58/463, 6359/4170 is

GCF of Numerators i.e. for 58,6359 is 1

LCM of denominators i.e. for 463,4170 is 1930710.

Thus, GCF of Fractions is 1/1930710.Finally, GCF of Fractions for 58/463, 6359/4170 is 1/1930710.