Greatest Common Factor of 3598/958, 9614/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3598/958, 9614/297

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 3598/958,9614/297

Given fractions are 3598/958,9614/297

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 3598,9614

Greatest Common Factor of Numerators i.e. GCF of 3598,9614 is 2 .

LCM of Denominators means LCM of 958,297 as per the given fractions.

LCM of 958,297 is 284526 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3598,9614

GCF of Fractions 3598/958,9614/297 is 2/284526

2 3598, 9614
1799, 4807

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3598,9614 By Matching Biggest Common Factor Method

Greatest Common Factor of 3598,9614 By Matching Biggest Common Factor Method

Factors of 3598

List of positive integer factors of 3598 that divides 3598 without a remainder.

1,2,7,14,257,514,1799,3598

Factors of 9614

List of positive integer factors of 9614 that divides 9614 without a remainder.

1,2,11,19,22,23,38,46,209,253,418,437,506,874,4807,9614

Greatest Common Factor

We found the factors 3598,9614 . The biggest common factor number is the GCF number.
So the greatest common factor 3598,9614 is 2.

Lets's calculate LCM of 958,297

Given numbers has no common factors except 1. So, there LCM is their product i.e 284526

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/284526

Therefore, the GCF of Fractions 3598/958,9614/297 is 2/284526

Least Common Multiple of 958,297 with GCF Formula

Least Common Multiple of 958,297 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 958,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(958,297) = 1

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

GCF(958,297) x common factors =1 x 1 = 1

LCM(958,297) = ( 958 × 297 ) / 1

LCM(958,297) = 284526 / 1

LCM(958,297) = 284526


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 3598/958, 9614/297

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 3598/958, 9614/297?

Answer: GCF of Numerators as per given numbers 3598/958, 9614/297 is

GCF of Numerators i.e. for 3598,9614 is 2

LCM of denominators i.e. for 958,297 is 284526.

Thus, GCF of Fractions is 2/284526.Finally, GCF of Fractions for 3598/958, 9614/297 is 2/284526.