Greatest Common Factor of 4934/212, 8465/1558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 4934/212, 8465/1558

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 4934/212,8465/1558

Given fractions are 4934/212,8465/1558

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 4934,8465

Greatest Common Factor of Numerators i.e. GCF of 4934,8465 is 1 .

LCM of Denominators means LCM of 212,1558 as per the given fractions.

LCM of 212,1558 is 165148 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4934,8465

GCF of Fractions 4934/212,8465/1558 is 1/165148

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

Greatest Common Factor of 4934,8465 By Matching Biggest Common Factor Method

Greatest Common Factor of 4934,8465 By Matching Biggest Common Factor Method

Factors of 4934

List of positive integer factors of 4934 that divides 4934 without a remainder.

1,2,2467,4934

Factors of 8465

List of positive integer factors of 8465 that divides 8465 without a remainder.

1,5,1693,8465

Greatest Common Factor

We found the factors 4934,8465 . The biggest common factor number is the GCF number.
So the greatest common factor 4934,8465 is 1.


Lets's calculate LCM of 212,1558

2 212, 1558
106, 779

∴ So the LCM of the given numbers is 2 x 106 x 779 = 165148

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/165148

Therefore, the GCF of Fractions 4934/212,8465/1558 is 1/165148

Least Common Multiple of 212,1558 with GCF Formula

Least Common Multiple of 212,1558 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 212,1558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,1558) = 2

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

GCF(212,1558) x common factors =2 x 1 = 2

LCM(212,1558) = ( 212 × 1558 ) / 2

LCM(212,1558) = 330296 / 2

LCM(212,1558) = 165148


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 4934/212, 8465/1558

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 4934/212, 8465/1558?

Answer: GCF of Numerators as per given numbers 4934/212, 8465/1558 is

GCF of Numerators i.e. for 4934,8465 is 1

LCM of denominators i.e. for 212,1558 is 165148.

Thus, GCF of Fractions is 1/165148.Finally, GCF of Fractions for 4934/212, 8465/1558 is 1/165148.