Greatest Common Factor of 3447/314, 4309/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3447/314, 4309/872

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 3447/314,4309/872

Given fractions are 3447/314,4309/872

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 3447,4309

Greatest Common Factor of Numerators i.e. GCF of 3447,4309 is 1 .

LCM of Denominators means LCM of 314,872 as per the given fractions.

LCM of 314,872 is 136904 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3447,4309

GCF of Fractions 3447/314,4309/872 is 1/136904

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

Greatest Common Factor of 3447,4309 By Matching Biggest Common Factor Method

Greatest Common Factor of 3447,4309 By Matching Biggest Common Factor Method

Factors of 3447

List of positive integer factors of 3447 that divides 3447 without a remainder.

1,3,9,383,1149,3447

Factors of 4309

List of positive integer factors of 4309 that divides 4309 without a remainder.

1,31,139,4309

Greatest Common Factor

We found the factors 3447,4309 . The biggest common factor number is the GCF number.
So the greatest common factor 3447,4309 is 1.

Lets's calculate LCM of 314,872

2 314, 872
157, 436

∴ So the LCM of the given numbers is 2 x 157 x 436 = 136904

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136904

Therefore, the GCF of Fractions 3447/314,4309/872 is 1/136904

Least Common Multiple of 314,872 with GCF Formula

Least Common Multiple of 314,872 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 314,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,872) = 2

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

GCF(314,872) x common factors =2 x 1 = 2

LCM(314,872) = ( 314 × 872 ) / 2

LCM(314,872) = 273808 / 2

LCM(314,872) = 136904


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 3447/314, 4309/872

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 3447/314, 4309/872?

Answer: GCF of Numerators as per given numbers 3447/314, 4309/872 is

GCF of Numerators i.e. for 3447,4309 is 1

LCM of denominators i.e. for 314,872 is 136904.

Thus, GCF of Fractions is 1/136904.Finally, GCF of Fractions for 3447/314, 4309/872 is 1/136904.