Greatest Common Factor of 989/890, 8418/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 989/890, 8418/219

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 989/890,8418/219

Given fractions are 989/890,8418/219

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 989,8418

Greatest Common Factor of Numerators i.e. GCF of 989,8418 is 23 .

LCM of Denominators means LCM of 890,219 as per the given fractions.

LCM of 890,219 is 194910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 989,8418

GCF of Fractions 989/890,8418/219 is 23/194910

23 989, 8418
43, 366

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 989,8418 By Matching Biggest Common Factor Method

Greatest Common Factor of 989,8418 By Matching Biggest Common Factor Method

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 8418

List of positive integer factors of 8418 that divides 8418 without a remainder.

1,2,3,6,23,46,61,69,122,138,183,366,1403,2806,4209,8418

Greatest Common Factor

We found the factors 989,8418 . The biggest common factor number is the GCF number.
So the greatest common factor 989,8418 is 23.

Lets's calculate LCM of 890,219

Given numbers has no common factors except 1. So, there LCM is their product i.e 194910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/194910

Therefore, the GCF of Fractions 989/890,8418/219 is 23/194910

Least Common Multiple of 890,219 with GCF Formula

Least Common Multiple of 890,219 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 890,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(890,219) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(890,219) x common factors =1 x 1 = 1

LCM(890,219) = ( 890 × 219 ) / 1

LCM(890,219) = 194910 / 1

LCM(890,219) = 194910


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 989/890, 8418/219

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 989/890, 8418/219?

Answer: GCF of Numerators as per given numbers 989/890, 8418/219 is

GCF of Numerators i.e. for 989,8418 is 23

LCM of denominators i.e. for 890,219 is 194910.

Thus, GCF of Fractions is 23/194910.Finally, GCF of Fractions for 989/890, 8418/219 is 23/194910.