LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 150/808, 621/940

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 150/808, 621/940 i.e 3/189880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 150/808, 621/940.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 150/808,621/940?

Given fractions are 150/808,621/940

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 150/808,621/940, numerators are 150,621

Denominators are 808,940

The GCF of 150,621 is 3 .

LCM of 808,940 is 189880.

The greatest common factor of 150/808,621/940 = [GCF of 150,621]/[LCM of 808,940]= 3/189880

Therefore, the GCF of 150/808,621/940 is 3/189880.

Greatest Common Factor of 150,621

To find the highest common factor of 150,621, we have to find the factors of both numbers and list the highest common factor.

The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

The factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621

The HCF of 150,621 is 3.

Lets's calculate GCF of 150,621

Greatest Common Factor (GCF) of 150,621 By Common Division

3 150, 621
50, 207

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 150,621 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,621 By Matching Biggest Common Factor Method

Now, list down the factors of 150

:

1,2,3,5,6,10,15,25,30,50,75,150

Now, list down the factors of 621

:

1,3,9,23,27,69,207,621

Greatest Common Factor

We found the factors 150,621 . The biggest common factor number is the GCF number.
So the greatest common factor 150,621 is 3.

Lets's calculate LCM of 808,940

Lowest Common Multiple of 808,940 using Common Division

2 808, 940
2 404, 470
202, 235

∴ So the LCM of the given numbers is 2 x 2 x 202 x 235 = 189880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/189880

Therefore, the GCF of Fractions 150/808,621/940 is 3/189880

Least Common Multiple of 808,940 with GCF Formula

Least Common Multiple of 808,940 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 808,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(808,940) = 4

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

GCF(808,940) x common factors =4 x 1 = 4

LCM(808,940) = ( 808 × 940 ) / 4

LCM(808,940) = 759520 / 4

LCM(808,940) = 189880


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 150/808, 621/940

1. What is the HCF of 150,621?

The HCF of 150,621 is 3

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 150/808, 621/940?

Answer: GCF of Numerators as per given numbers 150/808, 621/940 is

GCF of Numerators i.e. for 150,621 is 3

LCM of denominators i.e. for 808,940 is 189880.

Thus, GCF of Fractions is 3/189880.Finally, GCF of Fractions for 150/808, 621/940 is 3/189880.