Greatest Common Factor of 3311/475, 5362/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3311/475, 5362/474

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 3311/475,5362/474

Given fractions are 3311/475,5362/474

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 3311,5362

Greatest Common Factor of Numerators i.e. GCF of 3311,5362 is 7 .

LCM of Denominators means LCM of 475,474 as per the given fractions.

LCM of 475,474 is 225150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3311,5362

GCF of Fractions 3311/475,5362/474 is 7/225150

7 3311, 5362
473, 766

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 3311,5362 By Matching Biggest Common Factor Method

Greatest Common Factor of 3311,5362 By Matching Biggest Common Factor Method

Factors of 3311

List of positive integer factors of 3311 that divides 3311 without a remainder.

1,7,11,43,77,301,473,3311

Factors of 5362

List of positive integer factors of 5362 that divides 5362 without a remainder.

1,2,7,14,383,766,2681,5362

Greatest Common Factor

We found the factors 3311,5362 . The biggest common factor number is the GCF number.
So the greatest common factor 3311,5362 is 7.

Lets's calculate LCM of 475,474

Given numbers has no common factors except 1. So, there LCM is their product i.e 225150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/225150

Therefore, the GCF of Fractions 3311/475,5362/474 is 7/225150

Least Common Multiple of 475,474 with GCF Formula

Least Common Multiple of 475,474 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 475,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,474) = 1

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

GCF(475,474) x common factors =1 x 1 = 1

LCM(475,474) = ( 475 × 474 ) / 1

LCM(475,474) = 225150 / 1

LCM(475,474) = 225150


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 3311/475, 5362/474

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 3311/475, 5362/474?

Answer: GCF of Numerators as per given numbers 3311/475, 5362/474 is

GCF of Numerators i.e. for 3311,5362 is 7

LCM of denominators i.e. for 475,474 is 225150.

Thus, GCF of Fractions is 7/225150.Finally, GCF of Fractions for 3311/475, 5362/474 is 7/225150.