Greatest Common Factor of 7585/581, 9864/1312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7585/581, 9864/1312

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 7585/581,9864/1312

Given fractions are 7585/581,9864/1312

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 7585,9864

Greatest Common Factor of Numerators i.e. GCF of 7585,9864 is 1 .

LCM of Denominators means LCM of 581,1312 as per the given fractions.

LCM of 581,1312 is 762272 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7585,9864

GCF of Fractions 7585/581,9864/1312 is 1/762272

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

Greatest Common Factor of 7585,9864 By Matching Biggest Common Factor Method

Greatest Common Factor of 7585,9864 By Matching Biggest Common Factor Method

Factors of 7585

List of positive integer factors of 7585 that divides 7585 without a remainder.

1,5,37,41,185,205,1517,7585

Factors of 9864

List of positive integer factors of 9864 that divides 9864 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,137,274,411,548,822,1096,1233,1644,2466,3288,4932,9864

Greatest Common Factor

We found the factors 7585,9864 . The biggest common factor number is the GCF number.
So the greatest common factor 7585,9864 is 1.

Lets's calculate LCM of 581,1312

Given numbers has no common factors except 1. So, there LCM is their product i.e 762272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/762272

Therefore, the GCF of Fractions 7585/581,9864/1312 is 1/762272

Least Common Multiple of 581,1312 with GCF Formula

Least Common Multiple of 581,1312 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 581,1312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(581,1312) = 1

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

GCF(581,1312) x common factors =1 x 1 = 1

LCM(581,1312) = ( 581 × 1312 ) / 1

LCM(581,1312) = 762272 / 1

LCM(581,1312) = 762272


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 7585/581, 9864/1312

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 7585/581, 9864/1312?

Answer: GCF of Numerators as per given numbers 7585/581, 9864/1312 is

GCF of Numerators i.e. for 7585,9864 is 1

LCM of denominators i.e. for 581,1312 is 762272.

Thus, GCF of Fractions is 1/762272.Finally, GCF of Fractions for 7585/581, 9864/1312 is 1/762272.