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GCF of 187/707, 198/183

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 187/707, 198/183 i.e 11/129381 easily. The following is the detailed procedure to determine the greatest common factor of fractions 187/707, 198/183.

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 187/707,198/183?

Given fractions are 187/707,198/183

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 187/707,198/183, numerators are 187,198

Denominators are 707,183

The GCF of 187,198 is 11 .

LCM of 707,183 is 129381.

The greatest common factor of 187/707,198/183 = [GCF of 187,198]/[LCM of 707,183]= 11/129381

Therefore, the GCF of 187/707,198/183 is 11/129381.

Greatest Common Factor of 187,198

To find the highest common factor of 187,198, 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 198 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

The HCF of 187,198 is 11.

Lets's calculate GCF of 187,198

Greatest Common Factor (GCF) of 187,198 By Common Division

11 187, 198
17, 18

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 187,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 187,198 By Matching Biggest Common Factor Method

Now, list down the factors of 187

:

1,11,17,187

Now, list down the factors of 198

:

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 187,198 . The biggest common factor number is the GCF number.
So the greatest common factor 187,198 is 11.

Lets's calculate LCM of 707,183

Lowest Common Multiple of 707,183 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 129381

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/129381

Therefore, the GCF of Fractions 187/707,198/183 is 11/129381

Least Common Multiple of 707,183 with GCF Formula

Least Common Multiple of 707,183 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 707,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(707,183) = 1

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

GCF(707,183) x common factors =1 x 1 = 1

LCM(707,183) = ( 707 × 183 ) / 1

LCM(707,183) = 129381 / 1

LCM(707,183) = 129381


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FAQs on GCF of Fractions of 187/707, 198/183

1. What is the HCF of 187,198?

The HCF of 187,198 is 11

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 187/707, 198/183?

Answer: GCF of Numerators as per given numbers 187/707, 198/183 is

GCF of Numerators i.e. for 187,198 is 11

LCM of denominators i.e. for 707,183 is 129381.

Thus, GCF of Fractions is 11/129381.Finally, GCF of Fractions for 187/707, 198/183 is 11/129381.