Greatest Common Factor of 5116/46, 1050/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5116/46, 1050/602

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 5116/46,1050/602

Given fractions are 5116/46,1050/602

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 5116,1050

Greatest Common Factor of Numerators i.e. GCF of 5116,1050 is 2 .

LCM of Denominators means LCM of 46,602 as per the given fractions.

LCM of 46,602 is 13846 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5116,1050

GCF of Fractions 5116/46,1050/602 is 2/13846

2 5116, 1050
2558, 525

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5116,1050 By Matching Biggest Common Factor Method

Greatest Common Factor of 5116,1050 By Matching Biggest Common Factor Method

Factors of 5116

List of positive integer factors of 5116 that divides 5116 without a remainder.

1,2,4,1279,2558,5116

Factors of 1050

List of positive integer factors of 1050 that divides 1050 without a remainder.

1,2,3,5,6,7,10,14,15,21,25,30,35,42,50,70,75,105,150,175,210,350,525,1050

Greatest Common Factor

We found the factors 5116,1050 . The biggest common factor number is the GCF number.
So the greatest common factor 5116,1050 is 2.

Lets's calculate LCM of 46,602

2 46, 602
23, 301

∴ So the LCM of the given numbers is 2 x 23 x 301 = 13846

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13846

Therefore, the GCF of Fractions 5116/46,1050/602 is 2/13846

Least Common Multiple of 46,602 with GCF Formula

Least Common Multiple of 46,602 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 46,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,602) = 2

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

GCF(46,602) x common factors =2 x 1 = 2

LCM(46,602) = ( 46 × 602 ) / 2

LCM(46,602) = 27692 / 2

LCM(46,602) = 13846


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 5116/46, 1050/602

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 5116/46, 1050/602?

Answer: GCF of Numerators as per given numbers 5116/46, 1050/602 is

GCF of Numerators i.e. for 5116,1050 is 2

LCM of denominators i.e. for 46,602 is 13846.

Thus, GCF of Fractions is 2/13846.Finally, GCF of Fractions for 5116/46, 1050/602 is 2/13846.