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GCF of 499/81, 827/674

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 499/81, 827/674 i.e 1/54594 easily. The following is the detailed procedure to determine the greatest common factor of fractions 499/81, 827/674.

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 499/81,827/674?

Given fractions are 499/81,827/674

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 499/81,827/674, numerators are 499,827

Denominators are 81,674

The GCF of 499,827 is 1 .

LCM of 81,674 is 54594.

The greatest common factor of 499/81,827/674 = [GCF of 499,827]/[LCM of 81,674]= 1/54594

Therefore, the GCF of 499/81,827/674 is 1/54594.

Greatest Common Factor of 499,827

To find the highest common factor of 499,827, we have to find the factors of both numbers and list the highest common factor.

The factors of 499 are 1, 499

The factors of 827 are 1, 827

The HCF of 499,827 is 1.

Lets's calculate GCF of 499,827

Greatest Common Factor (GCF) of 499,827 By Common Division

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

Greatest Common Factor of 499,827 By Matching Biggest Common Factor Method

Greatest Common Factor of 499,827 By Matching Biggest Common Factor Method

Now, list down the factors of 499

:

1,499

Now, list down the factors of 827

:

1,827

Greatest Common Factor

We found the factors 499,827 . The biggest common factor number is the GCF number.
So the greatest common factor 499,827 is 1.

Lets's calculate LCM of 81,674

Lowest Common Multiple of 81,674 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 54594

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54594

Therefore, the GCF of Fractions 499/81,827/674 is 1/54594

Least Common Multiple of 81,674 with GCF Formula

Least Common Multiple of 81,674 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 81,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,674) = 1

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

GCF(81,674) x common factors =1 x 1 = 1

LCM(81,674) = ( 81 × 674 ) / 1

LCM(81,674) = 54594 / 1

LCM(81,674) = 54594


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FAQs on GCF of Fractions of 499/81, 827/674

1. What is the HCF of 499,827?

The HCF of 499,827 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 499/81, 827/674?

Answer: GCF of Numerators as per given numbers 499/81, 827/674 is

GCF of Numerators i.e. for 499,827 is 1

LCM of denominators i.e. for 81,674 is 54594.

Thus, GCF of Fractions is 1/54594.Finally, GCF of Fractions for 499/81, 827/674 is 1/54594.