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 438/40, 811/596

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 438/40, 811/596 i.e 1/5960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 438/40, 811/596.

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 438/40,811/596?

Given fractions are 438/40,811/596

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 438/40,811/596, numerators are 438,811

Denominators are 40,596

The GCF of 438,811 is 1 .

LCM of 40,596 is 5960.

The greatest common factor of 438/40,811/596 = [GCF of 438,811]/[LCM of 40,596]= 1/5960

Therefore, the GCF of 438/40,811/596 is 1/5960.

Greatest Common Factor of 438,811

To find the highest common factor of 438,811, we have to find the factors of both numbers and list the highest common factor.

The factors of 438 are 1, 2, 3, 6, 73, 146, 219, 438

The factors of 811 are 1, 811

The HCF of 438,811 is 1.

Lets's calculate GCF of 438,811

Greatest Common Factor (GCF) of 438,811 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 438,811 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,811 By Matching Biggest Common Factor Method

Now, list down the factors of 438

:

1,2,3,6,73,146,219,438

Now, list down the factors of 811

:

1,811

Greatest Common Factor

We found the factors 438,811 . The biggest common factor number is the GCF number.
So the greatest common factor 438,811 is 1.

Lets's calculate LCM of 40,596

Lowest Common Multiple of 40,596 using Common Division

2 40, 596
2 20, 298
10, 149

∴ So the LCM of the given numbers is 2 x 2 x 10 x 149 = 5960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5960

Therefore, the GCF of Fractions 438/40,811/596 is 1/5960

Least Common Multiple of 40,596 with GCF Formula

Least Common Multiple of 40,596 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 40,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,596) = 4

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

GCF(40,596) x common factors =4 x 1 = 4

LCM(40,596) = ( 40 × 596 ) / 4

LCM(40,596) = 23840 / 4

LCM(40,596) = 5960


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 438/40, 811/596

1. What is the HCF of 438,811?

The HCF of 438,811 is 1

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 438/40, 811/596?

Answer: GCF of Numerators as per given numbers 438/40, 811/596 is

GCF of Numerators i.e. for 438,811 is 1

LCM of denominators i.e. for 40,596 is 5960.

Thus, GCF of Fractions is 1/5960.Finally, GCF of Fractions for 438/40, 811/596 is 1/5960.