Greatest Common Factor of 58/160, 213/692, 486/519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 58/160, 213/692, 486/519

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 58/160,213/692,486/519

Given fractions are 58/160,213/692,486/519

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 58,213,486

Greatest Common Factor of Numerators i.e. GCF of 58,213,486 is 1 .

LCM of Denominators means LCM of 160,692,519 as per the given fractions.

LCM of 160,692,519 is 83040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 58,213,486

GCF of Fractions 58/160,213/692,486/519 is 1/83040

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

Greatest Common Factor of 58,213,486 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,213,486 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 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Greatest Common Factor

We found the factors 58,213,486 . The biggest common factor number is the GCF number.
So the greatest common factor 58,213,486 is 1.

Lets's calculate LCM of 160,692,519

2 160, 692, 519
2 80, 346, 519
173 40, 173, 519
40, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 173 x 40 x 1 x 3 = 83040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83040

Therefore, the GCF of Fractions 58/160,213/692,486/519 is 1/83040

Least Common Multiple of 160,692,519 with GCF Formula

Least Common Multiple of 160,692,519 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 160,692,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(160,692,519) = 1

common factors(in case of two or more numbers have common factors) = 692

GCF(160,692,519) x common factors =1 x 692 = 692

LCM(160,692,519) = ( 160 × 692 × 519 ) / 692

LCM(160,692,519) = 57463680 / 692

LCM(160,692,519) = 83040


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 58/160, 213/692, 486/519

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 58/160, 213/692, 486/519?

Answer: GCF of Numerators as per given numbers 58/160, 213/692, 486/519 is

GCF of Numerators i.e. for 58,213,486 is 1

LCM of denominators i.e. for 160,692,519 is 83040.

Thus, GCF of Fractions is 1/83040.Finally, GCF of Fractions for 58/160, 213/692, 486/519 is 1/83040.