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GCF of 812/500, 9811/249

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 812/500, 9811/249 i.e 1/124500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 812/500, 9811/249.

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 812/500,9811/249?

Given fractions are 812/500,9811/249

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 812/500,9811/249, numerators are 812,9811

Denominators are 500,249

The GCF of 812,9811 is 1 .

LCM of 500,249 is 124500.

The greatest common factor of 812/500,9811/249 = [GCF of 812,9811]/[LCM of 500,249]= 1/124500

Therefore, the GCF of 812/500,9811/249 is 1/124500.

Greatest Common Factor of 812,9811

To find the highest common factor of 812,9811, we have to find the factors of both numbers and list the highest common factor.

The factors of 812 are 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

The factors of 9811 are 1, 9811

The HCF of 812,9811 is 1.

Lets's calculate GCF of 812,9811

Greatest Common Factor (GCF) of 812,9811 By Common Division

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

Greatest Common Factor of 812,9811 By Matching Biggest Common Factor Method

Greatest Common Factor of 812,9811 By Matching Biggest Common Factor Method

Now, list down the factors of 812

:

1,2,4,7,14,28,29,58,116,203,406,812

Now, list down the factors of 9811

:

1,9811

Greatest Common Factor

We found the factors 812,9811 . The biggest common factor number is the GCF number.
So the greatest common factor 812,9811 is 1.

Lets's calculate LCM of 500,249

Lowest Common Multiple of 500,249 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 124500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/124500

Therefore, the GCF of Fractions 812/500,9811/249 is 1/124500

Least Common Multiple of 500,249 with GCF Formula

Least Common Multiple of 500,249 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 500,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,249) = 1

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

GCF(500,249) x common factors =1 x 1 = 1

LCM(500,249) = ( 500 × 249 ) / 1

LCM(500,249) = 124500 / 1

LCM(500,249) = 124500


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FAQs on GCF of Fractions of 812/500, 9811/249

1. What is the HCF of 812,9811?

The HCF of 812,9811 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 812/500, 9811/249?

Answer: GCF of Numerators as per given numbers 812/500, 9811/249 is

GCF of Numerators i.e. for 812,9811 is 1

LCM of denominators i.e. for 500,249 is 124500.

Thus, GCF of Fractions is 1/124500.Finally, GCF of Fractions for 812/500, 9811/249 is 1/124500.