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GCF of 8010/293, 9817/6060

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 8010/293, 9817/6060 i.e 1/1775580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8010/293, 9817/6060.

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 8010/293,9817/6060?

Given fractions are 8010/293,9817/6060

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 8010/293,9817/6060, numerators are 8010,9817

Denominators are 293,6060

The GCF of 8010,9817 is 1 .

LCM of 293,6060 is 1775580.

The greatest common factor of 8010/293,9817/6060 = [GCF of 8010,9817]/[LCM of 293,6060]= 1/1775580

Therefore, the GCF of 8010/293,9817/6060 is 1/1775580.

Greatest Common Factor of 8010,9817

To find the highest common factor of 8010,9817, we have to find the factors of both numbers and list the highest common factor.

The factors of 8010 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 89, 90, 178, 267, 445, 534, 801, 890, 1335, 1602, 2670, 4005, 8010

The factors of 9817 are 1, 9817

The HCF of 8010,9817 is 1.

Lets's calculate GCF of 8010,9817

Greatest Common Factor (GCF) of 8010,9817 By Common Division

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

Greatest Common Factor of 8010,9817 By Matching Biggest Common Factor Method

Greatest Common Factor of 8010,9817 By Matching Biggest Common Factor Method

Now, list down the factors of 8010

:

1,2,3,5,6,9,10,15,18,30,45,89,90,178,267,445,534,801,890,1335,1602,2670,4005,8010

Now, list down the factors of 9817

:

1,9817

Greatest Common Factor

We found the factors 8010,9817 . The biggest common factor number is the GCF number.
So the greatest common factor 8010,9817 is 1.


Lets's calculate LCM of 293,6060

Lowest Common Multiple of 293,6060 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1775580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1775580

Therefore, the GCF of Fractions 8010/293,9817/6060 is 1/1775580

Least Common Multiple of 293,6060 with GCF Formula

Least Common Multiple of 293,6060 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 293,6060 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(293,6060) = 1

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

GCF(293,6060) x common factors =1 x 1 = 1

LCM(293,6060) = ( 293 × 6060 ) / 1

LCM(293,6060) = 1775580 / 1

LCM(293,6060) = 1775580


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 8010/293, 9817/6060

1. What is the HCF of 8010,9817?

The HCF of 8010,9817 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 8010/293, 9817/6060?

Answer: GCF of Numerators as per given numbers 8010/293, 9817/6060 is

GCF of Numerators i.e. for 8010,9817 is 1

LCM of denominators i.e. for 293,6060 is 1775580.

Thus, GCF of Fractions is 1/1775580.Finally, GCF of Fractions for 8010/293, 9817/6060 is 1/1775580.