Greatest Common Factor of 360/87, 675/606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 360/87, 675/606

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 360/87,675/606

Given fractions are 360/87,675/606

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 360,675

Greatest Common Factor of Numerators i.e. GCF of 360,675 is 45 .

LCM of Denominators means LCM of 87,606 as per the given fractions.

LCM of 87,606 is 17574 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 360,675

GCF of Fractions 360/87,675/606 is 45/17574

3 360, 675
3 120, 225
5 40, 75
8, 15

∴ So the GCF of the given numbers is 3 x 3 x 5 = 45

Greatest Common Factor of 360,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,675 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 360,675 . The biggest common factor number is the GCF number.
So the greatest common factor 360,675 is 45.

Lets's calculate LCM of 87,606

3 87, 606
29, 202

∴ So the LCM of the given numbers is 3 x 29 x 202 = 17574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 45/17574

Therefore, the GCF of Fractions 360/87,675/606 is 45/17574

Least Common Multiple of 87,606 with GCF Formula

Least Common Multiple of 87,606 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 87,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,606) = 3

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

GCF(87,606) x common factors =3 x 1 = 3

LCM(87,606) = ( 87 × 606 ) / 3

LCM(87,606) = 52722 / 3

LCM(87,606) = 17574


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 360/87, 675/606

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 360/87, 675/606?

Answer: GCF of Numerators as per given numbers 360/87, 675/606 is

GCF of Numerators i.e. for 360,675 is 45

LCM of denominators i.e. for 87,606 is 17574.

Thus, GCF of Fractions is 45/17574.Finally, GCF of Fractions for 360/87, 675/606 is 45/17574.