Greatest Common Factor of 480/85, 4528/863

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 480/85, 4528/863

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 480/85,4528/863

Given fractions are 480/85,4528/863

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 480,4528

Greatest Common Factor of Numerators i.e. GCF of 480,4528 is 16 .

LCM of Denominators means LCM of 85,863 as per the given fractions.

LCM of 85,863 is 73355 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 480,4528

GCF of Fractions 480/85,4528/863 is 16/73355

2 480, 4528
2 240, 2264
2 120, 1132
2 60, 566
30, 283

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 480,4528 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,4528 By Matching Biggest Common Factor Method

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 4528

List of positive integer factors of 4528 that divides 4528 without a remainder.

1,2,4,8,16,283,566,1132,2264,4528

Greatest Common Factor

We found the factors 480,4528 . The biggest common factor number is the GCF number.
So the greatest common factor 480,4528 is 16.

Lets's calculate LCM of 85,863

Given numbers has no common factors except 1. So, there LCM is their product i.e 73355

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/73355

Therefore, the GCF of Fractions 480/85,4528/863 is 16/73355

Least Common Multiple of 85,863 with GCF Formula

Least Common Multiple of 85,863 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 85,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,863) = 1

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

GCF(85,863) x common factors =1 x 1 = 1

LCM(85,863) = ( 85 × 863 ) / 1

LCM(85,863) = 73355 / 1

LCM(85,863) = 73355


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 480/85, 4528/863

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 480/85, 4528/863?

Answer: GCF of Numerators as per given numbers 480/85, 4528/863 is

GCF of Numerators i.e. for 480,4528 is 16

LCM of denominators i.e. for 85,863 is 73355.

Thus, GCF of Fractions is 16/73355.Finally, GCF of Fractions for 480/85, 4528/863 is 16/73355.