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GCF of 230/617, 838/384

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 230/617, 838/384 i.e 2/236928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 230/617, 838/384.

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 230/617,838/384?

Given fractions are 230/617,838/384

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 230/617,838/384, numerators are 230,838

Denominators are 617,384

The GCF of 230,838 is 2 .

LCM of 617,384 is 236928.

The greatest common factor of 230/617,838/384 = [GCF of 230,838]/[LCM of 617,384]= 2/236928

Therefore, the GCF of 230/617,838/384 is 2/236928.

Greatest Common Factor of 230,838

To find the highest common factor of 230,838, we have to find the factors of both numbers and list the highest common factor.

The factors of 230 are 1, 2, 5, 10, 23, 46, 115, 230

The factors of 838 are 1, 2, 419, 838

The HCF of 230,838 is 2.

Lets's calculate GCF of 230,838

Greatest Common Factor (GCF) of 230,838 By Common Division

2 230, 838
115, 419

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

Greatest Common Factor of 230,838 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,838 By Matching Biggest Common Factor Method

Now, list down the factors of 230

:

1,2,5,10,23,46,115,230

Now, list down the factors of 838

:

1,2,419,838

Greatest Common Factor

We found the factors 230,838 . The biggest common factor number is the GCF number.
So the greatest common factor 230,838 is 2.

Lets's calculate LCM of 617,384

Lowest Common Multiple of 617,384 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 236928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/236928

Therefore, the GCF of Fractions 230/617,838/384 is 2/236928

Least Common Multiple of 617,384 with GCF Formula

Least Common Multiple of 617,384 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 617,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(617,384) = 1

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

GCF(617,384) x common factors =1 x 1 = 1

LCM(617,384) = ( 617 × 384 ) / 1

LCM(617,384) = 236928 / 1

LCM(617,384) = 236928


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FAQs on GCF of Fractions of 230/617, 838/384

1. What is the HCF of 230,838?

The HCF of 230,838 is 2

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 230/617, 838/384?

Answer: GCF of Numerators as per given numbers 230/617, 838/384 is

GCF of Numerators i.e. for 230,838 is 2

LCM of denominators i.e. for 617,384 is 236928.

Thus, GCF of Fractions is 2/236928.Finally, GCF of Fractions for 230/617, 838/384 is 2/236928.