Greatest Common Factor of 890/74, 414/45, 500/11

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 890/74, 414/45, 500/11

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 890/74,414/45,500/11

Given fractions are 890/74,414/45,500/11

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 890,414,500

Greatest Common Factor of Numerators i.e. GCF of 890,414,500 is 2 .

LCM of Denominators means LCM of 74,45,11 as per the given fractions.

LCM of 74,45,11 is 36630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 890,414,500

GCF of Fractions 890/74,414/45,500/11 is 2/36630

2 890, 414, 500
445, 207, 250

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

Greatest Common Factor of 890,414,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 890,414,500 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 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 890,414,500 . The biggest common factor number is the GCF number.
So the greatest common factor 890,414,500 is 2.

Lets's calculate LCM of 74,45,11

Given numbers has no common factors except 1. So, there LCM is their product i.e 36630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/36630

Therefore, the GCF of Fractions 890/74,414/45,500/11 is 2/36630

Least Common Multiple of 74,45,11 with GCF Formula

Least Common Multiple of 74,45,11 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 74,45,11 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,45,11) = 1

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

GCF(74,45,11) x common factors =1 x 1 = 1

LCM(74,45,11) = ( 74 × 45 × 11 ) / 1

LCM(74,45,11) = 36630 / 1

LCM(74,45,11) = 36630


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 890/74, 414/45, 500/11

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 890/74, 414/45, 500/11?

Answer: GCF of Numerators as per given numbers 890/74, 414/45, 500/11 is

GCF of Numerators i.e. for 890,414,500 is 2

LCM of denominators i.e. for 74,45,11 is 36630.

Thus, GCF of Fractions is 2/36630.Finally, GCF of Fractions for 890/74, 414/45, 500/11 is 2/36630.