Greatest Common Factor of 360/48, 4695/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 360/48, 4695/413

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 360/48,4695/413

Given fractions are 360/48,4695/413

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 360,4695

Greatest Common Factor of Numerators i.e. GCF of 360,4695 is 15 .

LCM of Denominators means LCM of 48,413 as per the given fractions.

LCM of 48,413 is 19824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 360,4695

GCF of Fractions 360/48,4695/413 is 15/19824

3 360, 4695
5 120, 1565
24, 313

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 360,4695 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,4695 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 4695

List of positive integer factors of 4695 that divides 4695 without a remainder.

1,3,5,15,313,939,1565,4695

Greatest Common Factor

We found the factors 360,4695 . The biggest common factor number is the GCF number.
So the greatest common factor 360,4695 is 15.

Lets's calculate LCM of 48,413

Given numbers has no common factors except 1. So, there LCM is their product i.e 19824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/19824

Therefore, the GCF of Fractions 360/48,4695/413 is 15/19824

Least Common Multiple of 48,413 with GCF Formula

Least Common Multiple of 48,413 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 48,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,413) = 1

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

GCF(48,413) x common factors =1 x 1 = 1

LCM(48,413) = ( 48 × 413 ) / 1

LCM(48,413) = 19824 / 1

LCM(48,413) = 19824


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 360/48, 4695/413

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 360/48, 4695/413?

Answer: GCF of Numerators as per given numbers 360/48, 4695/413 is

GCF of Numerators i.e. for 360,4695 is 15

LCM of denominators i.e. for 48,413 is 19824.

Thus, GCF of Fractions is 15/19824.Finally, GCF of Fractions for 360/48, 4695/413 is 15/19824.