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GCF of 60/827, 15/2067

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 60/827, 15/2067 i.e 15/1709409 easily. The following is the detailed procedure to determine the greatest common factor of fractions 60/827, 15/2067.

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 60/827,15/2067?

Given fractions are 60/827,15/2067

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 60/827,15/2067, numerators are 60,15

Denominators are 827,2067

The GCF of 60,15 is 15 .

LCM of 827,2067 is 1709409.

The greatest common factor of 60/827,15/2067 = [GCF of 60,15]/[LCM of 827,2067]= 15/1709409

Therefore, the GCF of 60/827,15/2067 is 15/1709409.

Greatest Common Factor of 60,15

To find the highest common factor of 60,15, we have to find the factors of both numbers and list the highest common factor.

The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The factors of 15 are 1, 3, 5, 15

The HCF of 60,15 is 15.

Lets's calculate GCF of 60,15

Greatest Common Factor (GCF) of 60,15 By Common Division

3 60, 15
5 20, 5
4, 1

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 60,15 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,15 By Matching Biggest Common Factor Method

Now, list down the factors of 60

:

1,2,3,4,5,6,10,12,15,20,30,60

Now, list down the factors of 15

:

1,3,5,15

Greatest Common Factor

We found the factors 60,15 . The biggest common factor number is the GCF number.
So the greatest common factor 60,15 is 15.

Lets's calculate LCM of 827,2067

Lowest Common Multiple of 827,2067 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1709409

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/1709409

Therefore, the GCF of Fractions 60/827,15/2067 is 15/1709409

Least Common Multiple of 827,2067 with GCF Formula

Least Common Multiple of 827,2067 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 827,2067 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,2067) = 1

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

GCF(827,2067) x common factors =1 x 1 = 1

LCM(827,2067) = ( 827 × 2067 ) / 1

LCM(827,2067) = 1709409 / 1

LCM(827,2067) = 1709409


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FAQs on GCF of Fractions of 60/827, 15/2067

1. What is the HCF of 60,15?

The HCF of 60,15 is 15

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 60/827, 15/2067?

Answer: GCF of Numerators as per given numbers 60/827, 15/2067 is

GCF of Numerators i.e. for 60,15 is 15

LCM of denominators i.e. for 827,2067 is 1709409.

Thus, GCF of Fractions is 15/1709409.Finally, GCF of Fractions for 60/827, 15/2067 is 15/1709409.