Greatest Common Factor of 552/90, 852/13, 807/81

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 552/90, 852/13, 807/81

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 552/90,852/13,807/81

Given fractions are 552/90,852/13,807/81

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 552,852,807

Greatest Common Factor of Numerators i.e. GCF of 552,852,807 is 3 .

LCM of Denominators means LCM of 90,13,81 as per the given fractions.

LCM of 90,13,81 is 10530 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 552,852,807

GCF of Fractions 552/90,852/13,807/81 is 3/10530

3 552, 852, 807
184, 284, 269

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 552,852,807 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,852,807 By Matching Biggest Common Factor Method

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Greatest Common Factor

We found the factors 552,852,807 . The biggest common factor number is the GCF number.
So the greatest common factor 552,852,807 is 3.

Lets's calculate LCM of 90,13,81

3 90, 13, 81
3 30, 13, 27
10, 13, 9

∴ So the LCM of the given numbers is 3 x 3 x 10 x 13 x 9 = 10530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/10530

Therefore, the GCF of Fractions 552/90,852/13,807/81 is 3/10530

Least Common Multiple of 90,13,81 with GCF Formula

Least Common Multiple of 90,13,81 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 90,13,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,13,81) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(90,13,81) x common factors =1 x 9 = 9

LCM(90,13,81) = ( 90 × 13 × 81 ) / 9

LCM(90,13,81) = 94770 / 9

LCM(90,13,81) = 10530


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 552/90, 852/13, 807/81

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 552/90, 852/13, 807/81?

Answer: GCF of Numerators as per given numbers 552/90, 852/13, 807/81 is

GCF of Numerators i.e. for 552,852,807 is 3

LCM of denominators i.e. for 90,13,81 is 10530.

Thus, GCF of Fractions is 3/10530.Finally, GCF of Fractions for 552/90, 852/13, 807/81 is 3/10530.