Greatest Common Factor of 382/69, 554/80, 852/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 382/69, 554/80, 852/660

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 382/69,554/80,852/660

Given fractions are 382/69,554/80,852/660

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 382,554,852

Greatest Common Factor of Numerators i.e. GCF of 382,554,852 is 2 .

LCM of Denominators means LCM of 69,80,660 as per the given fractions.

LCM of 69,80,660 is 60720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 382,554,852

GCF of Fractions 382/69,554/80,852/660 is 2/60720

2 382, 554, 852
191, 277, 426

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

Greatest Common Factor of 382,554,852 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,554,852 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

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

Greatest Common Factor

We found the factors 382,554,852 . The biggest common factor number is the GCF number.
So the greatest common factor 382,554,852 is 2.

Lets's calculate LCM of 69,80,660

2 69, 80, 660
2 69, 40, 330
3 69, 20, 165
5 23, 20, 55
23, 4, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 23 x 4 x 11 = 60720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/60720

Therefore, the GCF of Fractions 382/69,554/80,852/660 is 2/60720

Least Common Multiple of 69,80,660 with GCF Formula

Least Common Multiple of 69,80,660 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 69,80,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,80,660) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(69,80,660) x common factors =1 x 60 = 60

LCM(69,80,660) = ( 69 × 80 × 660 ) / 60

LCM(69,80,660) = 3643200 / 60

LCM(69,80,660) = 60720


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 382/69, 554/80, 852/660

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 382/69, 554/80, 852/660?

Answer: GCF of Numerators as per given numbers 382/69, 554/80, 852/660 is

GCF of Numerators i.e. for 382,554,852 is 2

LCM of denominators i.e. for 69,80,660 is 60720.

Thus, GCF of Fractions is 2/60720.Finally, GCF of Fractions for 382/69, 554/80, 852/660 is 2/60720.