Greatest Common Factor of 9964/395, 7384/1719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9964/395, 7384/1719

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 9964/395,7384/1719

Given fractions are 9964/395,7384/1719

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 9964,7384

Greatest Common Factor of Numerators i.e. GCF of 9964,7384 is 4 .

LCM of Denominators means LCM of 395,1719 as per the given fractions.

LCM of 395,1719 is 679005 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9964,7384

GCF of Fractions 9964/395,7384/1719 is 4/679005

2 9964, 7384
2 4982, 3692
2491, 1846

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9964,7384 By Matching Biggest Common Factor Method

Greatest Common Factor of 9964,7384 By Matching Biggest Common Factor Method

Factors of 9964

List of positive integer factors of 9964 that divides 9964 without a remainder.

1,2,4,47,53,94,106,188,212,2491,4982,9964

Factors of 7384

List of positive integer factors of 7384 that divides 7384 without a remainder.

1,2,4,8,13,26,52,71,104,142,284,568,923,1846,3692,7384

Greatest Common Factor

We found the factors 9964,7384 . The biggest common factor number is the GCF number.
So the greatest common factor 9964,7384 is 4.

Lets's calculate LCM of 395,1719

Given numbers has no common factors except 1. So, there LCM is their product i.e 679005

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/679005

Therefore, the GCF of Fractions 9964/395,7384/1719 is 4/679005

Least Common Multiple of 395,1719 with GCF Formula

Least Common Multiple of 395,1719 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 395,1719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(395,1719) = 1

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

GCF(395,1719) x common factors =1 x 1 = 1

LCM(395,1719) = ( 395 × 1719 ) / 1

LCM(395,1719) = 679005 / 1

LCM(395,1719) = 679005


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 9964/395, 7384/1719

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 9964/395, 7384/1719?

Answer: GCF of Numerators as per given numbers 9964/395, 7384/1719 is

GCF of Numerators i.e. for 9964,7384 is 4

LCM of denominators i.e. for 395,1719 is 679005.

Thus, GCF of Fractions is 4/679005.Finally, GCF of Fractions for 9964/395, 7384/1719 is 4/679005.