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GCF of 230/229, 6205/662

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 230/229, 6205/662 i.e 5/151598 easily. The following is the detailed procedure to determine the greatest common factor of fractions 230/229, 6205/662.

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 230/229,6205/662?

Given fractions are 230/229,6205/662

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 230/229,6205/662, numerators are 230,6205

Denominators are 229,662

The GCF of 230,6205 is 5 .

LCM of 229,662 is 151598.

The greatest common factor of 230/229,6205/662 = [GCF of 230,6205]/[LCM of 229,662]= 5/151598

Therefore, the GCF of 230/229,6205/662 is 5/151598.

Greatest Common Factor of 230,6205

To find the highest common factor of 230,6205, 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 6205 are 1, 5, 17, 73, 85, 365, 1241, 6205

The HCF of 230,6205 is 5.

Lets's calculate GCF of 230,6205

Greatest Common Factor (GCF) of 230,6205 By Common Division

5 230, 6205
46, 1241

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 230,6205 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,6205 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 6205

:

1,5,17,73,85,365,1241,6205

Greatest Common Factor

We found the factors 230,6205 . The biggest common factor number is the GCF number.
So the greatest common factor 230,6205 is 5.

Lets's calculate LCM of 229,662

Lowest Common Multiple of 229,662 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 151598

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/151598

Therefore, the GCF of Fractions 230/229,6205/662 is 5/151598

Least Common Multiple of 229,662 with GCF Formula

Least Common Multiple of 229,662 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 229,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(229,662) = 1

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

GCF(229,662) x common factors =1 x 1 = 1

LCM(229,662) = ( 229 × 662 ) / 1

LCM(229,662) = 151598 / 1

LCM(229,662) = 151598


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FAQs on GCF of Fractions of 230/229, 6205/662

1. What is the HCF of 230,6205?

The HCF of 230,6205 is 5

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 230/229, 6205/662?

Answer: GCF of Numerators as per given numbers 230/229, 6205/662 is

GCF of Numerators i.e. for 230,6205 is 5

LCM of denominators i.e. for 229,662 is 151598.

Thus, GCF of Fractions is 5/151598.Finally, GCF of Fractions for 230/229, 6205/662 is 5/151598.