Greatest Common Factor of 7582/784, 8385/8512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7582/784, 8385/8512

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 7582/784,8385/8512

Given fractions are 7582/784,8385/8512

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 7582,8385

Greatest Common Factor of Numerators i.e. GCF of 7582,8385 is 1 .

LCM of Denominators means LCM of 784,8512 as per the given fractions.

LCM of 784,8512 is 59584 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7582,8385

GCF of Fractions 7582/784,8385/8512 is 1/59584

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

Greatest Common Factor of 7582,8385 By Matching Biggest Common Factor Method

Greatest Common Factor of 7582,8385 By Matching Biggest Common Factor Method

Factors of 7582

List of positive integer factors of 7582 that divides 7582 without a remainder.

1,2,17,34,223,446,3791,7582

Factors of 8385

List of positive integer factors of 8385 that divides 8385 without a remainder.

1,3,5,13,15,39,43,65,129,195,215,559,645,1677,2795,8385

Greatest Common Factor

We found the factors 7582,8385 . The biggest common factor number is the GCF number.
So the greatest common factor 7582,8385 is 1.

Lets's calculate LCM of 784,8512

2 784, 8512
2 392, 4256
2 196, 2128
2 98, 1064
7 49, 532
7, 76

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 7 x 7 x 76 = 59584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59584

Therefore, the GCF of Fractions 7582/784,8385/8512 is 1/59584

Least Common Multiple of 784,8512 with GCF Formula

Least Common Multiple of 784,8512 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 784,8512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,8512) = 112

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

GCF(784,8512) x common factors =112 x 1 = 112

LCM(784,8512) = ( 784 × 8512 ) / 112

LCM(784,8512) = 6673408 / 112

LCM(784,8512) = 59584


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 7582/784, 8385/8512

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 7582/784, 8385/8512?

Answer: GCF of Numerators as per given numbers 7582/784, 8385/8512 is

GCF of Numerators i.e. for 7582,8385 is 1

LCM of denominators i.e. for 784,8512 is 59584.

Thus, GCF of Fractions is 1/59584.Finally, GCF of Fractions for 7582/784, 8385/8512 is 1/59584.