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GCF of 229/653, 459/282

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 229/653, 459/282 i.e 1/184146 easily. The following is the detailed procedure to determine the greatest common factor of fractions 229/653, 459/282.

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 229/653,459/282?

Given fractions are 229/653,459/282

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 229/653,459/282, numerators are 229,459

Denominators are 653,282

The GCF of 229,459 is 1 .

LCM of 653,282 is 184146.

The greatest common factor of 229/653,459/282 = [GCF of 229,459]/[LCM of 653,282]= 1/184146

Therefore, the GCF of 229/653,459/282 is 1/184146.

Greatest Common Factor of 229,459

To find the highest common factor of 229,459, we have to find the factors of both numbers and list the highest common factor.

The factors of 229 are 1, 229

The factors of 459 are 1, 3, 9, 17, 27, 51, 153, 459

The HCF of 229,459 is 1.

Lets's calculate GCF of 229,459

Greatest Common Factor (GCF) of 229,459 By Common Division

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

Greatest Common Factor of 229,459 By Matching Biggest Common Factor Method

Greatest Common Factor of 229,459 By Matching Biggest Common Factor Method

Now, list down the factors of 229

:

1,229

Now, list down the factors of 459

:

1,3,9,17,27,51,153,459

Greatest Common Factor

We found the factors 229,459 . The biggest common factor number is the GCF number.
So the greatest common factor 229,459 is 1.

Lets's calculate LCM of 653,282

Lowest Common Multiple of 653,282 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 184146

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/184146

Therefore, the GCF of Fractions 229/653,459/282 is 1/184146

Least Common Multiple of 653,282 with GCF Formula

Least Common Multiple of 653,282 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 653,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(653,282) = 1

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

GCF(653,282) x common factors =1 x 1 = 1

LCM(653,282) = ( 653 × 282 ) / 1

LCM(653,282) = 184146 / 1

LCM(653,282) = 184146


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FAQs on GCF of Fractions of 229/653, 459/282

1. What is the HCF of 229,459?

The HCF of 229,459 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 229/653, 459/282?

Answer: GCF of Numerators as per given numbers 229/653, 459/282 is

GCF of Numerators i.e. for 229,459 is 1

LCM of denominators i.e. for 653,282 is 184146.

Thus, GCF of Fractions is 1/184146.Finally, GCF of Fractions for 229/653, 459/282 is 1/184146.