Greatest Common Factor of 651/395, 9960/381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 651/395, 9960/381

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 651/395,9960/381

Given fractions are 651/395,9960/381

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 651,9960

Greatest Common Factor of Numerators i.e. GCF of 651,9960 is 3 .

LCM of Denominators means LCM of 395,381 as per the given fractions.

LCM of 395,381 is 150495 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 651,9960

GCF of Fractions 651/395,9960/381 is 3/150495

3 651, 9960
217, 3320

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

Greatest Common Factor of 651,9960 By Matching Biggest Common Factor Method

Greatest Common Factor of 651,9960 By Matching Biggest Common Factor Method

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Factors of 9960

List of positive integer factors of 9960 that divides 9960 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,83,120,166,249,332,415,498,664,830,996,1245,1660,1992,2490,3320,4980,9960

Greatest Common Factor

We found the factors 651,9960 . The biggest common factor number is the GCF number.
So the greatest common factor 651,9960 is 3.

Lets's calculate LCM of 395,381

Given numbers has no common factors except 1. So, there LCM is their product i.e 150495

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/150495

Therefore, the GCF of Fractions 651/395,9960/381 is 3/150495

Least Common Multiple of 395,381 with GCF Formula

Least Common Multiple of 395,381 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 395,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(395,381) = 1

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

GCF(395,381) x common factors =1 x 1 = 1

LCM(395,381) = ( 395 × 381 ) / 1

LCM(395,381) = 150495 / 1

LCM(395,381) = 150495


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 651/395, 9960/381

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 651/395, 9960/381?

Answer: GCF of Numerators as per given numbers 651/395, 9960/381 is

GCF of Numerators i.e. for 651,9960 is 3

LCM of denominators i.e. for 395,381 is 150495.

Thus, GCF of Fractions is 3/150495.Finally, GCF of Fractions for 651/395, 9960/381 is 3/150495.