Greatest Common Factor of 6604/980, 9615/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6604/980, 9615/648

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 6604/980,9615/648

Given fractions are 6604/980,9615/648

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 6604,9615

Greatest Common Factor of Numerators i.e. GCF of 6604,9615 is 1 .

LCM of Denominators means LCM of 980,648 as per the given fractions.

LCM of 980,648 is 158760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6604,9615

GCF of Fractions 6604/980,9615/648 is 1/158760

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

Greatest Common Factor of 6604,9615 By Matching Biggest Common Factor Method

Greatest Common Factor of 6604,9615 By Matching Biggest Common Factor Method

Factors of 6604

List of positive integer factors of 6604 that divides 6604 without a remainder.

1,2,4,13,26,52,127,254,508,1651,3302,6604

Factors of 9615

List of positive integer factors of 9615 that divides 9615 without a remainder.

1,3,5,15,641,1923,3205,9615

Greatest Common Factor

We found the factors 6604,9615 . The biggest common factor number is the GCF number.
So the greatest common factor 6604,9615 is 1.

Lets's calculate LCM of 980,648

2 980, 648
2 490, 324
245, 162

∴ So the LCM of the given numbers is 2 x 2 x 245 x 162 = 158760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/158760

Therefore, the GCF of Fractions 6604/980,9615/648 is 1/158760

Least Common Multiple of 980,648 with GCF Formula

Least Common Multiple of 980,648 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 980,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,648) = 4

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

GCF(980,648) x common factors =4 x 1 = 4

LCM(980,648) = ( 980 × 648 ) / 4

LCM(980,648) = 635040 / 4

LCM(980,648) = 158760


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 6604/980, 9615/648

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 6604/980, 9615/648?

Answer: GCF of Numerators as per given numbers 6604/980, 9615/648 is

GCF of Numerators i.e. for 6604,9615 is 1

LCM of denominators i.e. for 980,648 is 158760.

Thus, GCF of Fractions is 1/158760.Finally, GCF of Fractions for 6604/980, 9615/648 is 1/158760.