Greatest Common Factor of 8509/64, 9884/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8509/64, 9884/648

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 8509/64,9884/648

Given fractions are 8509/64,9884/648

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 8509,9884

Greatest Common Factor of Numerators i.e. GCF of 8509,9884 is 1 .

LCM of Denominators means LCM of 64,648 as per the given fractions.

LCM of 64,648 is 5184 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8509,9884

GCF of Fractions 8509/64,9884/648 is 1/5184

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

Greatest Common Factor of 8509,9884 By Matching Biggest Common Factor Method

Greatest Common Factor of 8509,9884 By Matching Biggest Common Factor Method

Factors of 8509

List of positive integer factors of 8509 that divides 8509 without a remainder.

1,67,127,8509

Factors of 9884

List of positive integer factors of 9884 that divides 9884 without a remainder.

1,2,4,7,14,28,353,706,1412,2471,4942,9884

Greatest Common Factor

We found the factors 8509,9884 . The biggest common factor number is the GCF number.
So the greatest common factor 8509,9884 is 1.

Lets's calculate LCM of 64,648

2 64, 648
2 32, 324
2 16, 162
8, 81

∴ So the LCM of the given numbers is 2 x 2 x 2 x 8 x 81 = 5184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5184

Therefore, the GCF of Fractions 8509/64,9884/648 is 1/5184

Least Common Multiple of 64,648 with GCF Formula

Least Common Multiple of 64,648 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 64,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,648) = 8

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

GCF(64,648) x common factors =8 x 1 = 8

LCM(64,648) = ( 64 × 648 ) / 8

LCM(64,648) = 41472 / 8

LCM(64,648) = 5184


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 8509/64, 9884/648

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 8509/64, 9884/648?

Answer: GCF of Numerators as per given numbers 8509/64, 9884/648 is

GCF of Numerators i.e. for 8509,9884 is 1

LCM of denominators i.e. for 64,648 is 5184.

Thus, GCF of Fractions is 1/5184.Finally, GCF of Fractions for 8509/64, 9884/648 is 1/5184.