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GCF of 927/496, 4933/924

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 927/496, 4933/924 i.e 1/114576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 927/496, 4933/924.

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 927/496,4933/924?

Given fractions are 927/496,4933/924

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 927/496,4933/924, numerators are 927,4933

Denominators are 496,924

The GCF of 927,4933 is 1 .

LCM of 496,924 is 114576.

The greatest common factor of 927/496,4933/924 = [GCF of 927,4933]/[LCM of 496,924]= 1/114576

Therefore, the GCF of 927/496,4933/924 is 1/114576.

Greatest Common Factor of 927,4933

To find the highest common factor of 927,4933, we have to find the factors of both numbers and list the highest common factor.

The factors of 927 are 1, 3, 9, 103, 309, 927

The factors of 4933 are 1, 4933

The HCF of 927,4933 is 1.

Lets's calculate GCF of 927,4933

Greatest Common Factor (GCF) of 927,4933 By Common Division

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

Greatest Common Factor of 927,4933 By Matching Biggest Common Factor Method

Greatest Common Factor of 927,4933 By Matching Biggest Common Factor Method

Now, list down the factors of 927

:

1,3,9,103,309,927

Now, list down the factors of 4933

:

1,4933

Greatest Common Factor

We found the factors 927,4933 . The biggest common factor number is the GCF number.
So the greatest common factor 927,4933 is 1.

Lets's calculate LCM of 496,924

Lowest Common Multiple of 496,924 using Common Division

2 496, 924
2 248, 462
124, 231

∴ So the LCM of the given numbers is 2 x 2 x 124 x 231 = 114576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114576

Therefore, the GCF of Fractions 927/496,4933/924 is 1/114576

Least Common Multiple of 496,924 with GCF Formula

Least Common Multiple of 496,924 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 496,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,924) = 4

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

GCF(496,924) x common factors =4 x 1 = 4

LCM(496,924) = ( 496 × 924 ) / 4

LCM(496,924) = 458304 / 4

LCM(496,924) = 114576


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FAQs on GCF of Fractions of 927/496, 4933/924

1. What is the HCF of 927,4933?

The HCF of 927,4933 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 927/496, 4933/924?

Answer: GCF of Numerators as per given numbers 927/496, 4933/924 is

GCF of Numerators i.e. for 927,4933 is 1

LCM of denominators i.e. for 496,924 is 114576.

Thus, GCF of Fractions is 1/114576.Finally, GCF of Fractions for 927/496, 4933/924 is 1/114576.