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GCF of 2230/497, 2339/3220

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 2230/497, 2339/3220 i.e 1/228620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2230/497, 2339/3220.

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 2230/497,2339/3220?

Given fractions are 2230/497,2339/3220

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 2230/497,2339/3220, numerators are 2230,2339

Denominators are 497,3220

The GCF of 2230,2339 is 1 .

LCM of 497,3220 is 228620.

The greatest common factor of 2230/497,2339/3220 = [GCF of 2230,2339]/[LCM of 497,3220]= 1/228620

Therefore, the GCF of 2230/497,2339/3220 is 1/228620.

Greatest Common Factor of 2230,2339

To find the highest common factor of 2230,2339, we have to find the factors of both numbers and list the highest common factor.

The factors of 2230 are 1, 2, 5, 10, 223, 446, 1115, 2230

The factors of 2339 are 1, 2339

The HCF of 2230,2339 is 1.

Lets's calculate GCF of 2230,2339

Greatest Common Factor (GCF) of 2230,2339 By Common Division

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

Greatest Common Factor of 2230,2339 By Matching Biggest Common Factor Method

Greatest Common Factor of 2230,2339 By Matching Biggest Common Factor Method

Now, list down the factors of 2230

:

1,2,5,10,223,446,1115,2230

Now, list down the factors of 2339

:

1,2339

Greatest Common Factor

We found the factors 2230,2339 . The biggest common factor number is the GCF number.
So the greatest common factor 2230,2339 is 1.

Lets's calculate LCM of 497,3220

Lowest Common Multiple of 497,3220 using Common Division

7 497, 3220
71, 460

∴ So the LCM of the given numbers is 7 x 71 x 460 = 228620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/228620

Therefore, the GCF of Fractions 2230/497,2339/3220 is 1/228620

Least Common Multiple of 497,3220 with GCF Formula

Least Common Multiple of 497,3220 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 497,3220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,3220) = 7

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

GCF(497,3220) x common factors =7 x 1 = 7

LCM(497,3220) = ( 497 × 3220 ) / 7

LCM(497,3220) = 1600340 / 7

LCM(497,3220) = 228620


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2230/497, 2339/3220

1. What is the HCF of 2230,2339?

The HCF of 2230,2339 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 2230/497, 2339/3220?

Answer: GCF of Numerators as per given numbers 2230/497, 2339/3220 is

GCF of Numerators i.e. for 2230,2339 is 1

LCM of denominators i.e. for 497,3220 is 228620.

Thus, GCF of Fractions is 1/228620.Finally, GCF of Fractions for 2230/497, 2339/3220 is 1/228620.