Greatest Common Factor of 3431/646, 3310/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3431/646, 3310/160

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 3431/646,3310/160

Given fractions are 3431/646,3310/160

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 3431,3310

Greatest Common Factor of Numerators i.e. GCF of 3431,3310 is 1 .

LCM of Denominators means LCM of 646,160 as per the given fractions.

LCM of 646,160 is 51680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3431,3310

GCF of Fractions 3431/646,3310/160 is 1/51680

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

Greatest Common Factor of 3431,3310 By Matching Biggest Common Factor Method

Greatest Common Factor of 3431,3310 By Matching Biggest Common Factor Method

Factors of 3431

List of positive integer factors of 3431 that divides 3431 without a remainder.

1,47,73,3431

Factors of 3310

List of positive integer factors of 3310 that divides 3310 without a remainder.

1,2,5,10,331,662,1655,3310

Greatest Common Factor

We found the factors 3431,3310 . The biggest common factor number is the GCF number.
So the greatest common factor 3431,3310 is 1.

Lets's calculate LCM of 646,160

2 646, 160
323, 80

∴ So the LCM of the given numbers is 2 x 323 x 80 = 51680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51680

Therefore, the GCF of Fractions 3431/646,3310/160 is 1/51680

Least Common Multiple of 646,160 with GCF Formula

Least Common Multiple of 646,160 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 646,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(646,160) = 2

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

GCF(646,160) x common factors =2 x 1 = 2

LCM(646,160) = ( 646 × 160 ) / 2

LCM(646,160) = 103360 / 2

LCM(646,160) = 51680


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 3431/646, 3310/160

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 3431/646, 3310/160?

Answer: GCF of Numerators as per given numbers 3431/646, 3310/160 is

GCF of Numerators i.e. for 3431,3310 is 1

LCM of denominators i.e. for 646,160 is 51680.

Thus, GCF of Fractions is 1/51680.Finally, GCF of Fractions for 3431/646, 3310/160 is 1/51680.