Greatest Common Factor of 7585/34, 8807/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7585/34, 8807/144

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 7585/34,8807/144

Given fractions are 7585/34,8807/144

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 7585,8807

Greatest Common Factor of Numerators i.e. GCF of 7585,8807 is 1 .

LCM of Denominators means LCM of 34,144 as per the given fractions.

LCM of 34,144 is 2448 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7585,8807

GCF of Fractions 7585/34,8807/144 is 1/2448

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

Greatest Common Factor of 7585,8807 By Matching Biggest Common Factor Method

Greatest Common Factor of 7585,8807 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 8807

List of positive integer factors of 8807 that divides 8807 without a remainder.

1,8807

Greatest Common Factor

We found the factors 7585,8807 . The biggest common factor number is the GCF number.
So the greatest common factor 7585,8807 is 1.

Lets's calculate LCM of 34,144

2 34, 144
17, 72

∴ So the LCM of the given numbers is 2 x 17 x 72 = 2448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2448

Therefore, the GCF of Fractions 7585/34,8807/144 is 1/2448

Least Common Multiple of 34,144 with GCF Formula

Least Common Multiple of 34,144 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 34,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,144) = 2

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

GCF(34,144) x common factors =2 x 1 = 2

LCM(34,144) = ( 34 × 144 ) / 2

LCM(34,144) = 4896 / 2

LCM(34,144) = 2448


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 7585/34, 8807/144

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 7585/34, 8807/144?

Answer: GCF of Numerators as per given numbers 7585/34, 8807/144 is

GCF of Numerators i.e. for 7585,8807 is 1

LCM of denominators i.e. for 34,144 is 2448.

Thus, GCF of Fractions is 1/2448.Finally, GCF of Fractions for 7585/34, 8807/144 is 1/2448.