Greatest Common Factor of 396/114, 3497/607

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 396/114, 3497/607

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 396/114,3497/607

Given fractions are 396/114,3497/607

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 396,3497

Greatest Common Factor of Numerators i.e. GCF of 396,3497 is 1 .

LCM of Denominators means LCM of 114,607 as per the given fractions.

LCM of 114,607 is 69198 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 396,3497

GCF of Fractions 396/114,3497/607 is 1/69198

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

Greatest Common Factor of 396,3497 By Matching Biggest Common Factor Method

Greatest Common Factor of 396,3497 By Matching Biggest Common Factor Method

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 3497

List of positive integer factors of 3497 that divides 3497 without a remainder.

1,13,269,3497

Greatest Common Factor

We found the factors 396,3497 . The biggest common factor number is the GCF number.
So the greatest common factor 396,3497 is 1.

Lets's calculate LCM of 114,607

Given numbers has no common factors except 1. So, there LCM is their product i.e 69198

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69198

Therefore, the GCF of Fractions 396/114,3497/607 is 1/69198

Least Common Multiple of 114,607 with GCF Formula

Least Common Multiple of 114,607 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 114,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,607) = 1

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

GCF(114,607) x common factors =1 x 1 = 1

LCM(114,607) = ( 114 × 607 ) / 1

LCM(114,607) = 69198 / 1

LCM(114,607) = 69198


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 396/114, 3497/607

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 396/114, 3497/607?

Answer: GCF of Numerators as per given numbers 396/114, 3497/607 is

GCF of Numerators i.e. for 396,3497 is 1

LCM of denominators i.e. for 114,607 is 69198.

Thus, GCF of Fractions is 1/69198.Finally, GCF of Fractions for 396/114, 3497/607 is 1/69198.