Greatest Common Factor of 3460/849, 1513/217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3460/849, 1513/217

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 3460/849,1513/217

Given fractions are 3460/849,1513/217

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 3460,1513

Greatest Common Factor of Numerators i.e. GCF of 3460,1513 is 1 .

LCM of Denominators means LCM of 849,217 as per the given fractions.

LCM of 849,217 is 184233 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3460,1513

GCF of Fractions 3460/849,1513/217 is 1/184233

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

Greatest Common Factor of 3460,1513 By Matching Biggest Common Factor Method

Greatest Common Factor of 3460,1513 By Matching Biggest Common Factor Method

Factors of 3460

List of positive integer factors of 3460 that divides 3460 without a remainder.

1,2,4,5,10,20,173,346,692,865,1730,3460

Factors of 1513

List of positive integer factors of 1513 that divides 1513 without a remainder.

1,17,89,1513

Greatest Common Factor

We found the factors 3460,1513 . The biggest common factor number is the GCF number.
So the greatest common factor 3460,1513 is 1.

Lets's calculate LCM of 849,217

Given numbers has no common factors except 1. So, there LCM is their product i.e 184233

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/184233

Therefore, the GCF of Fractions 3460/849,1513/217 is 1/184233

Least Common Multiple of 849,217 with GCF Formula

Least Common Multiple of 849,217 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 849,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,217) = 1

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

GCF(849,217) x common factors =1 x 1 = 1

LCM(849,217) = ( 849 × 217 ) / 1

LCM(849,217) = 184233 / 1

LCM(849,217) = 184233


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 3460/849, 1513/217

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 3460/849, 1513/217?

Answer: GCF of Numerators as per given numbers 3460/849, 1513/217 is

GCF of Numerators i.e. for 3460,1513 is 1

LCM of denominators i.e. for 849,217 is 184233.

Thus, GCF of Fractions is 1/184233.Finally, GCF of Fractions for 3460/849, 1513/217 is 1/184233.