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GCF of 187/270, 9010/9766

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 187/270, 9010/9766 i.e 17/1318410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 187/270, 9010/9766.

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 187/270,9010/9766?

Given fractions are 187/270,9010/9766

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 187/270,9010/9766, numerators are 187,9010

Denominators are 270,9766

The GCF of 187,9010 is 17 .

LCM of 270,9766 is 1318410.

The greatest common factor of 187/270,9010/9766 = [GCF of 187,9010]/[LCM of 270,9766]= 17/1318410

Therefore, the GCF of 187/270,9010/9766 is 17/1318410.

Greatest Common Factor of 187,9010

To find the highest common factor of 187,9010, we have to find the factors of both numbers and list the highest common factor.

The factors of 187 are 1, 11, 17, 187

The factors of 9010 are 1, 2, 5, 10, 17, 34, 53, 85, 106, 170, 265, 530, 901, 1802, 4505, 9010

The HCF of 187,9010 is 17.

Lets's calculate GCF of 187,9010

Greatest Common Factor (GCF) of 187,9010 By Common Division

17 187, 9010
11, 530

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 187,9010 By Matching Biggest Common Factor Method

Greatest Common Factor of 187,9010 By Matching Biggest Common Factor Method

Now, list down the factors of 187

:

1,11,17,187

Now, list down the factors of 9010

:

1,2,5,10,17,34,53,85,106,170,265,530,901,1802,4505,9010

Greatest Common Factor

We found the factors 187,9010 . The biggest common factor number is the GCF number.
So the greatest common factor 187,9010 is 17.


Lets's calculate LCM of 270,9766

Lowest Common Multiple of 270,9766 using Common Division

2 270, 9766
135, 4883

∴ So the LCM of the given numbers is 2 x 135 x 4883 = 1318410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/1318410

Therefore, the GCF of Fractions 187/270,9010/9766 is 17/1318410

Least Common Multiple of 270,9766 with GCF Formula

Least Common Multiple of 270,9766 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 270,9766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,9766) = 2

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

GCF(270,9766) x common factors =2 x 1 = 2

LCM(270,9766) = ( 270 × 9766 ) / 2

LCM(270,9766) = 2636820 / 2

LCM(270,9766) = 1318410


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 187/270, 9010/9766

1. What is the HCF of 187,9010?

The HCF of 187,9010 is 17

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 187/270, 9010/9766?

Answer: GCF of Numerators as per given numbers 187/270, 9010/9766 is

GCF of Numerators i.e. for 187,9010 is 17

LCM of denominators i.e. for 270,9766 is 1318410.

Thus, GCF of Fractions is 17/1318410.Finally, GCF of Fractions for 187/270, 9010/9766 is 17/1318410.