Greatest Common Factor of 705/89, 581/32, 685/361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 705/89, 581/32, 685/361

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 705/89,581/32,685/361

Given fractions are 705/89,581/32,685/361

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 705,581,685

Greatest Common Factor of Numerators i.e. GCF of 705,581,685 is 1 .

LCM of Denominators means LCM of 89,32,361 as per the given fractions.

LCM of 89,32,361 is 1028128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 705,581,685

GCF of Fractions 705/89,581/32,685/361 is 1/1028128

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

Greatest Common Factor of 705,581,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,581,685 By Matching Biggest Common Factor Method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 705,581,685 . The biggest common factor number is the GCF number.
So the greatest common factor 705,581,685 is 1.

Lets's calculate LCM of 89,32,361

Given numbers has no common factors except 1. So, there LCM is their product i.e 1028128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1028128

Therefore, the GCF of Fractions 705/89,581/32,685/361 is 1/1028128

Least Common Multiple of 89,32,361 with GCF Formula

Least Common Multiple of 89,32,361 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 89,32,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,32,361) = 1

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

GCF(89,32,361) x common factors =1 x 1 = 1

LCM(89,32,361) = ( 89 × 32 × 361 ) / 1

LCM(89,32,361) = 1028128 / 1

LCM(89,32,361) = 1028128


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 705/89, 581/32, 685/361

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 705/89, 581/32, 685/361?

Answer: GCF of Numerators as per given numbers 705/89, 581/32, 685/361 is

GCF of Numerators i.e. for 705,581,685 is 1

LCM of denominators i.e. for 89,32,361 is 1028128.

Thus, GCF of Fractions is 1/1028128.Finally, GCF of Fractions for 705/89, 581/32, 685/361 is 1/1028128.