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 819/416, 500/516

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 819/416, 500/516 i.e 1/53664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 819/416, 500/516.

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 819/416,500/516?

Given fractions are 819/416,500/516

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 819/416,500/516, numerators are 819,500

Denominators are 416,516

The GCF of 819,500 is 1 .

LCM of 416,516 is 53664.

The greatest common factor of 819/416,500/516 = [GCF of 819,500]/[LCM of 416,516]= 1/53664

Therefore, the GCF of 819/416,500/516 is 1/53664.

Greatest Common Factor of 819,500

To find the highest common factor of 819,500, we have to find the factors of both numbers and list the highest common factor.

The factors of 819 are 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

The factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

The HCF of 819,500 is 1.

Lets's calculate GCF of 819,500

Greatest Common Factor (GCF) of 819,500 By Common Division

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

Greatest Common Factor of 819,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,500 By Matching Biggest Common Factor Method

Now, list down the factors of 819

:

1,3,7,9,13,21,39,63,91,117,273,819

Now, list down the factors of 500

:

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

Greatest Common Factor

We found the factors 819,500 . The biggest common factor number is the GCF number.
So the greatest common factor 819,500 is 1.

Lets's calculate LCM of 416,516

Lowest Common Multiple of 416,516 using Common Division

2 416, 516
2 208, 258
104, 129

∴ So the LCM of the given numbers is 2 x 2 x 104 x 129 = 53664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53664

Therefore, the GCF of Fractions 819/416,500/516 is 1/53664

Least Common Multiple of 416,516 with GCF Formula

Least Common Multiple of 416,516 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 416,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(416,516) = 4

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

GCF(416,516) x common factors =4 x 1 = 4

LCM(416,516) = ( 416 × 516 ) / 4

LCM(416,516) = 214656 / 4

LCM(416,516) = 53664


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 819/416, 500/516

1. What is the HCF of 819,500?

The HCF of 819,500 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 819/416, 500/516?

Answer: GCF of Numerators as per given numbers 819/416, 500/516 is

GCF of Numerators i.e. for 819,500 is 1

LCM of denominators i.e. for 416,516 is 53664.

Thus, GCF of Fractions is 1/53664.Finally, GCF of Fractions for 819/416, 500/516 is 1/53664.