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GCF of 996/516, 479/854

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 996/516, 479/854 i.e 1/220332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 996/516, 479/854.

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 996/516,479/854?

Given fractions are 996/516,479/854

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 996/516,479/854, numerators are 996,479

Denominators are 516,854

The GCF of 996,479 is 1 .

LCM of 516,854 is 220332.

The greatest common factor of 996/516,479/854 = [GCF of 996,479]/[LCM of 516,854]= 1/220332

Therefore, the GCF of 996/516,479/854 is 1/220332.

Greatest Common Factor of 996,479

To find the highest common factor of 996,479, we have to find the factors of both numbers and list the highest common factor.

The factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

The factors of 479 are 1, 479

The HCF of 996,479 is 1.

Lets's calculate GCF of 996,479

Greatest Common Factor (GCF) of 996,479 By Common Division

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

Greatest Common Factor of 996,479 By Matching Biggest Common Factor Method

Greatest Common Factor of 996,479 By Matching Biggest Common Factor Method

Now, list down the factors of 996

:

1,2,3,4,6,12,83,166,249,332,498,996

Now, list down the factors of 479

:

1,479

Greatest Common Factor

We found the factors 996,479 . The biggest common factor number is the GCF number.
So the greatest common factor 996,479 is 1.

Lets's calculate LCM of 516,854

Lowest Common Multiple of 516,854 using Common Division

2 516, 854
258, 427

∴ So the LCM of the given numbers is 2 x 258 x 427 = 220332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/220332

Therefore, the GCF of Fractions 996/516,479/854 is 1/220332

Least Common Multiple of 516,854 with GCF Formula

Least Common Multiple of 516,854 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 516,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,854) = 2

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

GCF(516,854) x common factors =2 x 1 = 2

LCM(516,854) = ( 516 × 854 ) / 2

LCM(516,854) = 440664 / 2

LCM(516,854) = 220332


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FAQs on GCF of Fractions of 996/516, 479/854

1. What is the HCF of 996,479?

The HCF of 996,479 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 996/516, 479/854?

Answer: GCF of Numerators as per given numbers 996/516, 479/854 is

GCF of Numerators i.e. for 996,479 is 1

LCM of denominators i.e. for 516,854 is 220332.

Thus, GCF of Fractions is 1/220332.Finally, GCF of Fractions for 996/516, 479/854 is 1/220332.