Greatest Common Factor of 882/28, 784/26, 454/733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 882/28, 784/26, 454/733

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 882/28,784/26,454/733

Given fractions are 882/28,784/26,454/733

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 882,784,454

Greatest Common Factor of Numerators i.e. GCF of 882,784,454 is 2 .

LCM of Denominators means LCM of 28,26,733 as per the given fractions.

LCM of 28,26,733 is 266812 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 882,784,454

GCF of Fractions 882/28,784/26,454/733 is 2/266812

2 882, 784, 454
441, 392, 227

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

Greatest Common Factor of 882,784,454 By Matching Biggest Common Factor Method

Greatest Common Factor of 882,784,454 By Matching Biggest Common Factor Method

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Greatest Common Factor

We found the factors 882,784,454 . The biggest common factor number is the GCF number.
So the greatest common factor 882,784,454 is 2.

Lets's calculate LCM of 28,26,733

2 28, 26, 733
14, 13, 733

∴ So the LCM of the given numbers is 2 x 14 x 13 x 733 = 266812

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/266812

Therefore, the GCF of Fractions 882/28,784/26,454/733 is 2/266812

Least Common Multiple of 28,26,733 with GCF Formula

Least Common Multiple of 28,26,733 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 28,26,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,26,733) = 1

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

GCF(28,26,733) x common factors =1 x 2 = 2

LCM(28,26,733) = ( 28 × 26 × 733 ) / 2

LCM(28,26,733) = 533624 / 2

LCM(28,26,733) = 266812


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 882/28, 784/26, 454/733

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 882/28, 784/26, 454/733?

Answer: GCF of Numerators as per given numbers 882/28, 784/26, 454/733 is

GCF of Numerators i.e. for 882,784,454 is 2

LCM of denominators i.e. for 28,26,733 is 266812.

Thus, GCF of Fractions is 2/266812.Finally, GCF of Fractions for 882/28, 784/26, 454/733 is 2/266812.