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GCF of 187/95, 143/569

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 187/95, 143/569 i.e 11/54055 easily. The following is the detailed procedure to determine the greatest common factor of fractions 187/95, 143/569.

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 187/95,143/569?

Given fractions are 187/95,143/569

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 187/95,143/569, numerators are 187,143

Denominators are 95,569

The GCF of 187,143 is 11 .

LCM of 95,569 is 54055.

The greatest common factor of 187/95,143/569 = [GCF of 187,143]/[LCM of 95,569]= 11/54055

Therefore, the GCF of 187/95,143/569 is 11/54055.

Greatest Common Factor of 187,143

To find the highest common factor of 187,143, 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 143 are 1, 11, 13, 143

The HCF of 187,143 is 11.

Lets's calculate GCF of 187,143

Greatest Common Factor (GCF) of 187,143 By Common Division

11 187, 143
17, 13

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

Greatest Common Factor of 187,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 187,143 By Matching Biggest Common Factor Method

Now, list down the factors of 187

:

1,11,17,187

Now, list down the factors of 143

:

1,11,13,143

Greatest Common Factor

We found the factors 187,143 . The biggest common factor number is the GCF number.
So the greatest common factor 187,143 is 11.

Lets's calculate LCM of 95,569

Lowest Common Multiple of 95,569 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 54055

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/54055

Therefore, the GCF of Fractions 187/95,143/569 is 11/54055

Least Common Multiple of 95,569 with GCF Formula

Least Common Multiple of 95,569 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 95,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,569) = 1

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

GCF(95,569) x common factors =1 x 1 = 1

LCM(95,569) = ( 95 × 569 ) / 1

LCM(95,569) = 54055 / 1

LCM(95,569) = 54055


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FAQs on GCF of Fractions of 187/95, 143/569

1. What is the HCF of 187,143?

The HCF of 187,143 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 187/95, 143/569?

Answer: GCF of Numerators as per given numbers 187/95, 143/569 is

GCF of Numerators i.e. for 187,143 is 11

LCM of denominators i.e. for 95,569 is 54055.

Thus, GCF of Fractions is 11/54055.Finally, GCF of Fractions for 187/95, 143/569 is 11/54055.