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GCF of 6068/567, 9974/917

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 6068/567, 9974/917 i.e 2/74277 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6068/567, 9974/917.

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 6068/567,9974/917?

Given fractions are 6068/567,9974/917

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 6068/567,9974/917, numerators are 6068,9974

Denominators are 567,917

The GCF of 6068,9974 is 2 .

LCM of 567,917 is 74277.

The greatest common factor of 6068/567,9974/917 = [GCF of 6068,9974]/[LCM of 567,917]= 2/74277

Therefore, the GCF of 6068/567,9974/917 is 2/74277.

Greatest Common Factor of 6068,9974

To find the highest common factor of 6068,9974, we have to find the factors of both numbers and list the highest common factor.

The factors of 6068 are 1, 2, 4, 37, 41, 74, 82, 148, 164, 1517, 3034, 6068

The factors of 9974 are 1, 2, 4987, 9974

The HCF of 6068,9974 is 2.

Lets's calculate GCF of 6068,9974

Greatest Common Factor (GCF) of 6068,9974 By Common Division

2 6068, 9974
3034, 4987

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6068,9974 By Matching Biggest Common Factor Method

Greatest Common Factor of 6068,9974 By Matching Biggest Common Factor Method

Now, list down the factors of 6068

:

1,2,4,37,41,74,82,148,164,1517,3034,6068

Now, list down the factors of 9974

:

1,2,4987,9974

Greatest Common Factor

We found the factors 6068,9974 . The biggest common factor number is the GCF number.
So the greatest common factor 6068,9974 is 2.


Lets's calculate LCM of 567,917

Lowest Common Multiple of 567,917 using Common Division

7 567, 917
81, 131

∴ So the LCM of the given numbers is 7 x 81 x 131 = 74277

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/74277

Therefore, the GCF of Fractions 6068/567,9974/917 is 2/74277

Least Common Multiple of 567,917 with GCF Formula

Least Common Multiple of 567,917 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 567,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,917) = 7

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

GCF(567,917) x common factors =7 x 1 = 7

LCM(567,917) = ( 567 × 917 ) / 7

LCM(567,917) = 519939 / 7

LCM(567,917) = 74277


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 6068/567, 9974/917

1. What is the HCF of 6068,9974?

The HCF of 6068,9974 is 2

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 6068/567, 9974/917?

Answer: GCF of Numerators as per given numbers 6068/567, 9974/917 is

GCF of Numerators i.e. for 6068,9974 is 2

LCM of denominators i.e. for 567,917 is 74277.

Thus, GCF of Fractions is 2/74277.Finally, GCF of Fractions for 6068/567, 9974/917 is 2/74277.