Greatest Common Factor of 890/35, 584/9706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 890/35, 584/9706

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 890/35,584/9706

Given fractions are 890/35,584/9706

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 890,584

Greatest Common Factor of Numerators i.e. GCF of 890,584 is 2 .

LCM of Denominators means LCM of 35,9706 as per the given fractions.

LCM of 35,9706 is 339710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 890,584

GCF of Fractions 890/35,584/9706 is 2/339710

2 890, 584
445, 292

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

Greatest Common Factor of 890,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 890,584 By Matching Biggest Common Factor Method

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors 890,584 . The biggest common factor number is the GCF number.
So the greatest common factor 890,584 is 2.

Lets's calculate LCM of 35,9706

Given numbers has no common factors except 1. So, there LCM is their product i.e 339710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/339710

Therefore, the GCF of Fractions 890/35,584/9706 is 2/339710

Least Common Multiple of 35,9706 with GCF Formula

Least Common Multiple of 35,9706 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 35,9706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,9706) = 1

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

GCF(35,9706) x common factors =1 x 1 = 1

LCM(35,9706) = ( 35 × 9706 ) / 1

LCM(35,9706) = 339710 / 1

LCM(35,9706) = 339710


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 890/35, 584/9706

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 890/35, 584/9706?

Answer: GCF of Numerators as per given numbers 890/35, 584/9706 is

GCF of Numerators i.e. for 890,584 is 2

LCM of denominators i.e. for 35,9706 is 339710.

Thus, GCF of Fractions is 2/339710.Finally, GCF of Fractions for 890/35, 584/9706 is 2/339710.