Greatest Common Factor of 3474/57, 9333/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3474/57, 9333/700

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 3474/57,9333/700

Given fractions are 3474/57,9333/700

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 3474,9333

Greatest Common Factor of Numerators i.e. GCF of 3474,9333 is 9 .

LCM of Denominators means LCM of 57,700 as per the given fractions.

LCM of 57,700 is 39900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3474,9333

GCF of Fractions 3474/57,9333/700 is 9/39900

3 3474, 9333
3 1158, 3111
386, 1037

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 3474,9333 By Matching Biggest Common Factor Method

Greatest Common Factor of 3474,9333 By Matching Biggest Common Factor Method

Factors of 3474

List of positive integer factors of 3474 that divides 3474 without a remainder.

1,2,3,6,9,18,193,386,579,1158,1737,3474

Factors of 9333

List of positive integer factors of 9333 that divides 9333 without a remainder.

1,3,9,17,51,61,153,183,549,1037,3111,9333

Greatest Common Factor

We found the factors 3474,9333 . The biggest common factor number is the GCF number.
So the greatest common factor 3474,9333 is 9.

Lets's calculate LCM of 57,700

Given numbers has no common factors except 1. So, there LCM is their product i.e 39900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/39900

Therefore, the GCF of Fractions 3474/57,9333/700 is 9/39900

Least Common Multiple of 57,700 with GCF Formula

Least Common Multiple of 57,700 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 57,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,700) = 1

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

GCF(57,700) x common factors =1 x 1 = 1

LCM(57,700) = ( 57 × 700 ) / 1

LCM(57,700) = 39900 / 1

LCM(57,700) = 39900


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 3474/57, 9333/700

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 3474/57, 9333/700?

Answer: GCF of Numerators as per given numbers 3474/57, 9333/700 is

GCF of Numerators i.e. for 3474,9333 is 9

LCM of denominators i.e. for 57,700 is 39900.

Thus, GCF of Fractions is 9/39900.Finally, GCF of Fractions for 3474/57, 9333/700 is 9/39900.