Greatest Common Factor of 3473/814, 2576/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3473/814, 2576/336

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 3473/814,2576/336

Given fractions are 3473/814,2576/336

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 3473,2576

Greatest Common Factor of Numerators i.e. GCF of 3473,2576 is 23 .

LCM of Denominators means LCM of 814,336 as per the given fractions.

LCM of 814,336 is 136752 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3473,2576

GCF of Fractions 3473/814,2576/336 is 23/136752

23 3473, 2576
151, 112

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 3473,2576 By Matching Biggest Common Factor Method

Greatest Common Factor of 3473,2576 By Matching Biggest Common Factor Method

Factors of 3473

List of positive integer factors of 3473 that divides 3473 without a remainder.

1,23,151,3473

Factors of 2576

List of positive integer factors of 2576 that divides 2576 without a remainder.

1,2,4,7,8,14,16,23,28,46,56,92,112,161,184,322,368,644,1288,2576

Greatest Common Factor

We found the factors 3473,2576 . The biggest common factor number is the GCF number.
So the greatest common factor 3473,2576 is 23.

Lets's calculate LCM of 814,336

2 814, 336
407, 168

∴ So the LCM of the given numbers is 2 x 407 x 168 = 136752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/136752

Therefore, the GCF of Fractions 3473/814,2576/336 is 23/136752

Least Common Multiple of 814,336 with GCF Formula

Least Common Multiple of 814,336 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 814,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,336) = 2

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

GCF(814,336) x common factors =2 x 1 = 2

LCM(814,336) = ( 814 × 336 ) / 2

LCM(814,336) = 273504 / 2

LCM(814,336) = 136752


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 3473/814, 2576/336

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 3473/814, 2576/336?

Answer: GCF of Numerators as per given numbers 3473/814, 2576/336 is

GCF of Numerators i.e. for 3473,2576 is 23

LCM of denominators i.e. for 814,336 is 136752.

Thus, GCF of Fractions is 23/136752.Finally, GCF of Fractions for 3473/814, 2576/336 is 23/136752.