Greatest Common Factor of 6764/598, 9705/8880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6764/598, 9705/8880

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 6764/598,9705/8880

Given fractions are 6764/598,9705/8880

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 6764,9705

Greatest Common Factor of Numerators i.e. GCF of 6764,9705 is 1 .

LCM of Denominators means LCM of 598,8880 as per the given fractions.

LCM of 598,8880 is 2655120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6764,9705

GCF of Fractions 6764/598,9705/8880 is 1/2655120

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

Greatest Common Factor of 6764,9705 By Matching Biggest Common Factor Method

Greatest Common Factor of 6764,9705 By Matching Biggest Common Factor Method

Factors of 6764

List of positive integer factors of 6764 that divides 6764 without a remainder.

1,2,4,19,38,76,89,178,356,1691,3382,6764

Factors of 9705

List of positive integer factors of 9705 that divides 9705 without a remainder.

1,3,5,15,647,1941,3235,9705

Greatest Common Factor

We found the factors 6764,9705 . The biggest common factor number is the GCF number.
So the greatest common factor 6764,9705 is 1.

Lets's calculate LCM of 598,8880

2 598, 8880
299, 4440

∴ So the LCM of the given numbers is 2 x 299 x 4440 = 2655120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2655120

Therefore, the GCF of Fractions 6764/598,9705/8880 is 1/2655120

Least Common Multiple of 598,8880 with GCF Formula

Least Common Multiple of 598,8880 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 598,8880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(598,8880) = 2

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

GCF(598,8880) x common factors =2 x 1 = 2

LCM(598,8880) = ( 598 × 8880 ) / 2

LCM(598,8880) = 5310240 / 2

LCM(598,8880) = 2655120


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 6764/598, 9705/8880

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 6764/598, 9705/8880?

Answer: GCF of Numerators as per given numbers 6764/598, 9705/8880 is

GCF of Numerators i.e. for 6764,9705 is 1

LCM of denominators i.e. for 598,8880 is 2655120.

Thus, GCF of Fractions is 1/2655120.Finally, GCF of Fractions for 6764/598, 9705/8880 is 1/2655120.