Greatest Common Factor of 3414/475, 5157/9696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3414/475, 5157/9696

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 3414/475,5157/9696

Given fractions are 3414/475,5157/9696

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 3414,5157

Greatest Common Factor of Numerators i.e. GCF of 3414,5157 is 3 .

LCM of Denominators means LCM of 475,9696 as per the given fractions.

LCM of 475,9696 is 4605600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3414,5157

GCF of Fractions 3414/475,5157/9696 is 3/4605600

3 3414, 5157
1138, 1719

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

Greatest Common Factor of 3414,5157 By Matching Biggest Common Factor Method

Greatest Common Factor of 3414,5157 By Matching Biggest Common Factor Method

Factors of 3414

List of positive integer factors of 3414 that divides 3414 without a remainder.

1,2,3,6,569,1138,1707,3414

Factors of 5157

List of positive integer factors of 5157 that divides 5157 without a remainder.

1,3,9,27,191,573,1719,5157

Greatest Common Factor

We found the factors 3414,5157 . The biggest common factor number is the GCF number.
So the greatest common factor 3414,5157 is 3.

Lets's calculate LCM of 475,9696

Given numbers has no common factors except 1. So, there LCM is their product i.e 4605600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4605600

Therefore, the GCF of Fractions 3414/475,5157/9696 is 3/4605600

Least Common Multiple of 475,9696 with GCF Formula

Least Common Multiple of 475,9696 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 475,9696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,9696) = 1

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

GCF(475,9696) x common factors =1 x 1 = 1

LCM(475,9696) = ( 475 × 9696 ) / 1

LCM(475,9696) = 4605600 / 1

LCM(475,9696) = 4605600


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 3414/475, 5157/9696

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 3414/475, 5157/9696?

Answer: GCF of Numerators as per given numbers 3414/475, 5157/9696 is

GCF of Numerators i.e. for 3414,5157 is 3

LCM of denominators i.e. for 475,9696 is 4605600.

Thus, GCF of Fractions is 3/4605600.Finally, GCF of Fractions for 3414/475, 5157/9696 is 3/4605600.