Greatest Common Factor of 3400/435, 5241/659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3400/435, 5241/659

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 3400/435,5241/659

Given fractions are 3400/435,5241/659

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 3400,5241

Greatest Common Factor of Numerators i.e. GCF of 3400,5241 is 1 .

LCM of Denominators means LCM of 435,659 as per the given fractions.

LCM of 435,659 is 286665 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3400,5241

GCF of Fractions 3400/435,5241/659 is 1/286665

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

Greatest Common Factor of 3400,5241 By Matching Biggest Common Factor Method

Greatest Common Factor of 3400,5241 By Matching Biggest Common Factor Method

Factors of 3400

List of positive integer factors of 3400 that divides 3400 without a remainder.

1,2,4,5,8,10,17,20,25,34,40,50,68,85,100,136,170,200,340,425,680,850,1700,3400

Factors of 5241

List of positive integer factors of 5241 that divides 5241 without a remainder.

1,3,1747,5241

Greatest Common Factor

We found the factors 3400,5241 . The biggest common factor number is the GCF number.
So the greatest common factor 3400,5241 is 1.

Lets's calculate LCM of 435,659

Given numbers has no common factors except 1. So, there LCM is their product i.e 286665

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/286665

Therefore, the GCF of Fractions 3400/435,5241/659 is 1/286665

Least Common Multiple of 435,659 with GCF Formula

Least Common Multiple of 435,659 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 435,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(435,659) = 1

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

GCF(435,659) x common factors =1 x 1 = 1

LCM(435,659) = ( 435 × 659 ) / 1

LCM(435,659) = 286665 / 1

LCM(435,659) = 286665


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 3400/435, 5241/659

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 3400/435, 5241/659?

Answer: GCF of Numerators as per given numbers 3400/435, 5241/659 is

GCF of Numerators i.e. for 3400,5241 is 1

LCM of denominators i.e. for 435,659 is 286665.

Thus, GCF of Fractions is 1/286665.Finally, GCF of Fractions for 3400/435, 5241/659 is 1/286665.