Greatest Common Factor of 221/705, 150/325, 736/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 221/705, 150/325, 736/525

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 221/705,150/325,736/525

Given fractions are 221/705,150/325,736/525

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 221,150,736

Greatest Common Factor of Numerators i.e. GCF of 221,150,736 is 1 .

LCM of Denominators means LCM of 705,325,525 as per the given fractions.

LCM of 705,325,525 is 320775 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 221,150,736

GCF of Fractions 221/705,150/325,736/525 is 1/320775

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

Greatest Common Factor of 221,150,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 221,150,736 By Matching Biggest Common Factor Method

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 221,150,736 . The biggest common factor number is the GCF number.
So the greatest common factor 221,150,736 is 1.

Lets's calculate LCM of 705,325,525

3 705, 325, 525
5 235, 325, 175
5 47, 65, 35
47, 13, 7

∴ So the LCM of the given numbers is 3 x 5 x 5 x 47 x 13 x 7 = 320775

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/320775

Therefore, the GCF of Fractions 221/705,150/325,736/525 is 1/320775

Least Common Multiple of 705,325,525 with GCF Formula

Least Common Multiple of 705,325,525 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 705,325,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,325,525) = 5

common factors(in case of two or more numbers have common factors) = 75

GCF(705,325,525) x common factors =5 x 75 = 375

LCM(705,325,525) = ( 705 × 325 × 525 ) / 375

LCM(705,325,525) = 120290625 / 375

LCM(705,325,525) = 320775


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 221/705, 150/325, 736/525

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 221/705, 150/325, 736/525?

Answer: GCF of Numerators as per given numbers 221/705, 150/325, 736/525 is

GCF of Numerators i.e. for 221,150,736 is 1

LCM of denominators i.e. for 705,325,525 is 320775.

Thus, GCF of Fractions is 1/320775.Finally, GCF of Fractions for 221/705, 150/325, 736/525 is 1/320775.