Greatest Common Factor of 821/95, 554/44, 885/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 821/95, 554/44, 885/762

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 821/95,554/44,885/762

Given fractions are 821/95,554/44,885/762

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 821,554,885

Greatest Common Factor of Numerators i.e. GCF of 821,554,885 is 1 .

LCM of Denominators means LCM of 95,44,762 as per the given fractions.

LCM of 95,44,762 is 1592580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 821,554,885

GCF of Fractions 821/95,554/44,885/762 is 1/1592580

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 821,554,885 By Matching Biggest Common Factor Method

Greatest Common Factor of 821,554,885 By Matching Biggest Common Factor Method

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 554

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

1,2,277,554

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Greatest Common Factor

We found the factors 821,554,885 . The biggest common factor number is the GCF number.
So the greatest common factor 821,554,885 is 1.

Lets's calculate LCM of 95,44,762

2 95, 44, 762
95, 22, 381

∴ So the LCM of the given numbers is 2 x 95 x 22 x 381 = 1592580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1592580

Therefore, the GCF of Fractions 821/95,554/44,885/762 is 1/1592580

Least Common Multiple of 95,44,762 with GCF Formula

Least Common Multiple of 95,44,762 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 95,44,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,44,762) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(95,44,762) x common factors =1 x 2 = 2

LCM(95,44,762) = ( 95 × 44 × 762 ) / 2

LCM(95,44,762) = 3185160 / 2

LCM(95,44,762) = 1592580


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 821/95, 554/44, 885/762

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 821/95, 554/44, 885/762?

Answer: GCF of Numerators as per given numbers 821/95, 554/44, 885/762 is

GCF of Numerators i.e. for 821,554,885 is 1

LCM of denominators i.e. for 95,44,762 is 1592580.

Thus, GCF of Fractions is 1/1592580.Finally, GCF of Fractions for 821/95, 554/44, 885/762 is 1/1592580.