Greatest Common Factor of 9748/16, 3693/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9748/16, 3693/614

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 9748/16,3693/614

Given fractions are 9748/16,3693/614

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 9748,3693

Greatest Common Factor of Numerators i.e. GCF of 9748,3693 is 1 .

LCM of Denominators means LCM of 16,614 as per the given fractions.

LCM of 16,614 is 4912 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9748,3693

GCF of Fractions 9748/16,3693/614 is 1/4912

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

Greatest Common Factor of 9748,3693 By Matching Biggest Common Factor Method

Greatest Common Factor of 9748,3693 By Matching Biggest Common Factor Method

Factors of 9748

List of positive integer factors of 9748 that divides 9748 without a remainder.

1,2,4,2437,4874,9748

Factors of 3693

List of positive integer factors of 3693 that divides 3693 without a remainder.

1,3,1231,3693

Greatest Common Factor

We found the factors 9748,3693 . The biggest common factor number is the GCF number.
So the greatest common factor 9748,3693 is 1.

Lets's calculate LCM of 16,614

2 16, 614
8, 307

∴ So the LCM of the given numbers is 2 x 8 x 307 = 4912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4912

Therefore, the GCF of Fractions 9748/16,3693/614 is 1/4912

Least Common Multiple of 16,614 with GCF Formula

Least Common Multiple of 16,614 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 16,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,614) = 2

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

GCF(16,614) x common factors =2 x 1 = 2

LCM(16,614) = ( 16 × 614 ) / 2

LCM(16,614) = 9824 / 2

LCM(16,614) = 4912


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 9748/16, 3693/614

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 9748/16, 3693/614?

Answer: GCF of Numerators as per given numbers 9748/16, 3693/614 is

GCF of Numerators i.e. for 9748,3693 is 1

LCM of denominators i.e. for 16,614 is 4912.

Thus, GCF of Fractions is 1/4912.Finally, GCF of Fractions for 9748/16, 3693/614 is 1/4912.