Greatest Common Factor of 3466/80, 6230/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3466/80, 6230/889

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 3466/80,6230/889

Given fractions are 3466/80,6230/889

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 3466,6230

Greatest Common Factor of Numerators i.e. GCF of 3466,6230 is 2 .

LCM of Denominators means LCM of 80,889 as per the given fractions.

LCM of 80,889 is 71120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3466,6230

GCF of Fractions 3466/80,6230/889 is 2/71120

2 3466, 6230
1733, 3115

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

Greatest Common Factor of 3466,6230 By Matching Biggest Common Factor Method

Greatest Common Factor of 3466,6230 By Matching Biggest Common Factor Method

Factors of 3466

List of positive integer factors of 3466 that divides 3466 without a remainder.

1,2,1733,3466

Factors of 6230

List of positive integer factors of 6230 that divides 6230 without a remainder.

1,2,5,7,10,14,35,70,89,178,445,623,890,1246,3115,6230

Greatest Common Factor

We found the factors 3466,6230 . The biggest common factor number is the GCF number.
So the greatest common factor 3466,6230 is 2.

Lets's calculate LCM of 80,889

Given numbers has no common factors except 1. So, there LCM is their product i.e 71120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/71120

Therefore, the GCF of Fractions 3466/80,6230/889 is 2/71120

Least Common Multiple of 80,889 with GCF Formula

Least Common Multiple of 80,889 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 80,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,889) = 1

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

GCF(80,889) x common factors =1 x 1 = 1

LCM(80,889) = ( 80 × 889 ) / 1

LCM(80,889) = 71120 / 1

LCM(80,889) = 71120


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 3466/80, 6230/889

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 3466/80, 6230/889?

Answer: GCF of Numerators as per given numbers 3466/80, 6230/889 is

GCF of Numerators i.e. for 3466,6230 is 2

LCM of denominators i.e. for 80,889 is 71120.

Thus, GCF of Fractions is 2/71120.Finally, GCF of Fractions for 3466/80, 6230/889 is 2/71120.