Greatest Common Factor of 219/22, 837/59, 698/10

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 219/22, 837/59, 698/10

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 219/22,837/59,698/10

Given fractions are 219/22,837/59,698/10

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 219,837,698

Greatest Common Factor of Numerators i.e. GCF of 219,837,698 is 1 .

LCM of Denominators means LCM of 22,59,10 as per the given fractions.

LCM of 22,59,10 is 6490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 219,837,698

GCF of Fractions 219/22,837/59,698/10 is 1/6490

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

Greatest Common Factor of 219,837,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 219,837,698 By Matching Biggest Common Factor Method

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 219,837,698 . The biggest common factor number is the GCF number.
So the greatest common factor 219,837,698 is 1.

Lets's calculate LCM of 22,59,10

2 22, 59, 10
11, 59, 5

∴ So the LCM of the given numbers is 2 x 11 x 59 x 5 = 6490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6490

Therefore, the GCF of Fractions 219/22,837/59,698/10 is 1/6490

Least Common Multiple of 22,59,10 with GCF Formula

Least Common Multiple of 22,59,10 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 22,59,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,59,10) = 1

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

GCF(22,59,10) x common factors =1 x 2 = 2

LCM(22,59,10) = ( 22 × 59 × 10 ) / 2

LCM(22,59,10) = 12980 / 2

LCM(22,59,10) = 6490


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 219/22, 837/59, 698/10

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 219/22, 837/59, 698/10?

Answer: GCF of Numerators as per given numbers 219/22, 837/59, 698/10 is

GCF of Numerators i.e. for 219,837,698 is 1

LCM of denominators i.e. for 22,59,10 is 6490.

Thus, GCF of Fractions is 1/6490.Finally, GCF of Fractions for 219/22, 837/59, 698/10 is 1/6490.