Greatest Common Factor of 9696/614, 9840/515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9696/614, 9840/515

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 9696/614,9840/515

Given fractions are 9696/614,9840/515

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 9696,9840

Greatest Common Factor of Numerators i.e. GCF of 9696,9840 is 48 .

LCM of Denominators means LCM of 614,515 as per the given fractions.

LCM of 614,515 is 316210 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9696,9840

GCF of Fractions 9696/614,9840/515 is 48/316210

2 9696, 9840
2 4848, 4920
2 2424, 2460
2 1212, 1230
3 606, 615
202, 205

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48

Greatest Common Factor of 9696,9840 By Matching Biggest Common Factor Method

Greatest Common Factor of 9696,9840 By Matching Biggest Common Factor Method

Factors of 9696

List of positive integer factors of 9696 that divides 9696 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96,101,202,303,404,606,808,1212,1616,2424,3232,4848,9696

Factors of 9840

List of positive integer factors of 9840 that divides 9840 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,41,48,60,80,82,120,123,164,205,240,246,328,410,492,615,656,820,984,1230,1640,1968,2460,3280,4920,9840

Greatest Common Factor

We found the factors 9696,9840 . The biggest common factor number is the GCF number.
So the greatest common factor 9696,9840 is 48.

Lets's calculate LCM of 614,515

Given numbers has no common factors except 1. So, there LCM is their product i.e 316210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 48/316210

Therefore, the GCF of Fractions 9696/614,9840/515 is 48/316210

Least Common Multiple of 614,515 with GCF Formula

Least Common Multiple of 614,515 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 614,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,515) = 1

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

GCF(614,515) x common factors =1 x 1 = 1

LCM(614,515) = ( 614 × 515 ) / 1

LCM(614,515) = 316210 / 1

LCM(614,515) = 316210


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 9696/614, 9840/515

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 9696/614, 9840/515?

Answer: GCF of Numerators as per given numbers 9696/614, 9840/515 is

GCF of Numerators i.e. for 9696,9840 is 48

LCM of denominators i.e. for 614,515 is 316210.

Thus, GCF of Fractions is 48/316210.Finally, GCF of Fractions for 9696/614, 9840/515 is 48/316210.