How to Find GCF of 5324/927, 1034/5317?

GCF of 5324/927, 1034/5317

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 5324/927, 1034/5317 i.e 22/4928859 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5324/927, 1034/5317.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 5324/927,1034/5317?

Given fractions are 5324/927,1034/5317

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 5324/927,1034/5317, numerators are 5324,1034

Denominators are 927,5317

The GCF of 5324,1034 is 22 .

LCM of 927,5317 is 4928859.

The greatest common factor of 5324/927,1034/5317 = [GCF of 5324,1034]/[LCM of 927,5317]= 22/4928859

Therefore, the GCF of 5324/927,1034/5317 is 22/4928859.

Greatest Common Factor of 5324,1034

To find the highest common factor of 5324,1034, we have to find the factors of both numbers and list the highest common factor.

The factors of 5324 are 1, 2, 4, 11, 22, 44, 121, 242, 484, 1331, 2662, 5324

The factors of 1034 are 1, 2, 11, 22, 47, 94, 517, 1034

The HCF of 5324,1034 is 22.

Lets's calculate GCF of 5324,1034

Greatest Common Factor (GCF) of 5324,1034 By Common Division

2	5324, 1034
11	2662, 517
	242, 47

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 5324,1034 By Matching Biggest Common Factor Method

Now, list down the factors of 5324

1,2,4,11,22,44,121,242,484,1331,2662,5324

Now, list down the factors of 1034

1,2,11,22,47,94,517,1034

Greatest Common Factor

We found the factors 5324,1034 . The biggest common factor number is the GCF number.
So the greatest common factor 5324,1034 is 22.

Lets's calculate LCM of 927,5317

Lowest Common Multiple of 927,5317 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4928859

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/4928859

Therefore, the GCF of Fractions 5324/927,1034/5317 is 22/4928859

Least Common Multiple of 927,5317 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 927,5317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(927,5317) = 1

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

GCF(927,5317) x common factors =1 x 1 = 1

LCM(927,5317) = ( 927 × 5317 ) / 1

LCM(927,5317) = 4928859 / 1

LCM(927,5317) = 4928859

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FAQs on GCF of Fractions of 5324/927, 1034/5317

1. What is the HCF of 5324,1034?

The HCF of 5324,1034 is 22

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 5324/927, 1034/5317?

Answer: GCF of Numerators as per given numbers 5324/927, 1034/5317 is

GCF of Numerators i.e. for 5324,1034 is 22

LCM of denominators i.e. for 927,5317 is 4928859.

Thus, GCF of Fractions is 22/4928859.Finally, GCF of Fractions for 5324/927, 1034/5317 is 22/4928859.