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GCF of 236/191, 580/183

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 236/191, 580/183 i.e 4/34953 easily. The following is the detailed procedure to determine the greatest common factor of fractions 236/191, 580/183.

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 236/191,580/183?

Given fractions are 236/191,580/183

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 236/191,580/183, numerators are 236,580

Denominators are 191,183

The GCF of 236,580 is 4 .

LCM of 191,183 is 34953.

The greatest common factor of 236/191,580/183 = [GCF of 236,580]/[LCM of 191,183]= 4/34953

Therefore, the GCF of 236/191,580/183 is 4/34953.

Greatest Common Factor of 236,580

To find the highest common factor of 236,580, we have to find the factors of both numbers and list the highest common factor.

The factors of 236 are 1, 2, 4, 59, 118, 236

The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

The HCF of 236,580 is 4.

Lets's calculate GCF of 236,580

Greatest Common Factor (GCF) of 236,580 By Common Division

2 236, 580
2 118, 290
59, 145

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 236,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 236,580 By Matching Biggest Common Factor Method

Now, list down the factors of 236

:

1,2,4,59,118,236

Now, list down the factors of 580

:

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 236,580 . The biggest common factor number is the GCF number.
So the greatest common factor 236,580 is 4.

Lets's calculate LCM of 191,183

Lowest Common Multiple of 191,183 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 34953

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/34953

Therefore, the GCF of Fractions 236/191,580/183 is 4/34953

Least Common Multiple of 191,183 with GCF Formula

Least Common Multiple of 191,183 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 191,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(191,183) = 1

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

GCF(191,183) x common factors =1 x 1 = 1

LCM(191,183) = ( 191 × 183 ) / 1

LCM(191,183) = 34953 / 1

LCM(191,183) = 34953


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FAQs on GCF of Fractions of 236/191, 580/183

1. What is the HCF of 236,580?

The HCF of 236,580 is 4

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 236/191, 580/183?

Answer: GCF of Numerators as per given numbers 236/191, 580/183 is

GCF of Numerators i.e. for 236,580 is 4

LCM of denominators i.e. for 191,183 is 34953.

Thus, GCF of Fractions is 4/34953.Finally, GCF of Fractions for 236/191, 580/183 is 4/34953.