Greatest Common Factor of 882/11, 303/98, 619/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 882/11, 303/98, 619/780

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 882/11,303/98,619/780

Given fractions are 882/11,303/98,619/780

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 882,303,619

Greatest Common Factor of Numerators i.e. GCF of 882,303,619 is 1 .

LCM of Denominators means LCM of 11,98,780 as per the given fractions.

LCM of 11,98,780 is 420420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 882,303,619

GCF of Fractions 882/11,303/98,619/780 is 1/420420

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

Greatest Common Factor of 882,303,619 By Matching Biggest Common Factor Method

Greatest Common Factor of 882,303,619 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 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Greatest Common Factor

We found the factors 882,303,619 . The biggest common factor number is the GCF number.
So the greatest common factor 882,303,619 is 1.

Lets's calculate LCM of 11,98,780

2 11, 98, 780
11, 49, 390

∴ So the LCM of the given numbers is 2 x 11 x 49 x 390 = 420420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/420420

Therefore, the GCF of Fractions 882/11,303/98,619/780 is 1/420420

Least Common Multiple of 11,98,780 with GCF Formula

Least Common Multiple of 11,98,780 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 11,98,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,98,780) = 1

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

GCF(11,98,780) x common factors =1 x 2 = 2

LCM(11,98,780) = ( 11 × 98 × 780 ) / 2

LCM(11,98,780) = 840840 / 2

LCM(11,98,780) = 420420


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 882/11, 303/98, 619/780

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 882/11, 303/98, 619/780?

Answer: GCF of Numerators as per given numbers 882/11, 303/98, 619/780 is

GCF of Numerators i.e. for 882,303,619 is 1

LCM of denominators i.e. for 11,98,780 is 420420.

Thus, GCF of Fractions is 1/420420.Finally, GCF of Fractions for 882/11, 303/98, 619/780 is 1/420420.