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GCF of 187/711, 929/539

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 187/711, 929/539 i.e 1/383229 easily. The following is the detailed procedure to determine the greatest common factor of fractions 187/711, 929/539.

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 187/711,929/539?

Given fractions are 187/711,929/539

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 187/711,929/539, numerators are 187,929

Denominators are 711,539

The GCF of 187,929 is 1 .

LCM of 711,539 is 383229.

The greatest common factor of 187/711,929/539 = [GCF of 187,929]/[LCM of 711,539]= 1/383229

Therefore, the GCF of 187/711,929/539 is 1/383229.

Greatest Common Factor of 187,929

To find the highest common factor of 187,929, 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 929 are 1, 929

The HCF of 187,929 is 1.

Lets's calculate GCF of 187,929

Greatest Common Factor (GCF) of 187,929 By Common Division

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

Greatest Common Factor of 187,929 By Matching Biggest Common Factor Method

Greatest Common Factor of 187,929 By Matching Biggest Common Factor Method

Now, list down the factors of 187

:

1,11,17,187

Now, list down the factors of 929

:

1,929

Greatest Common Factor

We found the factors 187,929 . The biggest common factor number is the GCF number.
So the greatest common factor 187,929 is 1.

Lets's calculate LCM of 711,539

Lowest Common Multiple of 711,539 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 383229

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/383229

Therefore, the GCF of Fractions 187/711,929/539 is 1/383229

Least Common Multiple of 711,539 with GCF Formula

Least Common Multiple of 711,539 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 711,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,539) = 1

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

GCF(711,539) x common factors =1 x 1 = 1

LCM(711,539) = ( 711 × 539 ) / 1

LCM(711,539) = 383229 / 1

LCM(711,539) = 383229


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FAQs on GCF of Fractions of 187/711, 929/539

1. What is the HCF of 187,929?

The HCF of 187,929 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 187/711, 929/539?

Answer: GCF of Numerators as per given numbers 187/711, 929/539 is

GCF of Numerators i.e. for 187,929 is 1

LCM of denominators i.e. for 711,539 is 383229.

Thus, GCF of Fractions is 1/383229.Finally, GCF of Fractions for 187/711, 929/539 is 1/383229.