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GCF of 582/223, 282/123

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 582/223, 282/123 i.e 6/27429 easily. The following is the detailed procedure to determine the greatest common factor of fractions 582/223, 282/123.

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 582/223,282/123?

Given fractions are 582/223,282/123

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 582/223,282/123, numerators are 582,282

Denominators are 223,123

The GCF of 582,282 is 6 .

LCM of 223,123 is 27429.

The greatest common factor of 582/223,282/123 = [GCF of 582,282]/[LCM of 223,123]= 6/27429

Therefore, the GCF of 582/223,282/123 is 6/27429.

Greatest Common Factor of 582,282

To find the highest common factor of 582,282, we have to find the factors of both numbers and list the highest common factor.

The factors of 582 are 1, 2, 3, 6, 97, 194, 291, 582

The factors of 282 are 1, 2, 3, 6, 47, 94, 141, 282

The HCF of 582,282 is 6.

Lets's calculate GCF of 582,282

Greatest Common Factor (GCF) of 582,282 By Common Division

2 582, 282
3 291, 141
97, 47

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 582,282 By Matching Biggest Common Factor Method

Greatest Common Factor of 582,282 By Matching Biggest Common Factor Method

Now, list down the factors of 582

:

1,2,3,6,97,194,291,582

Now, list down the factors of 282

:

1,2,3,6,47,94,141,282

Greatest Common Factor

We found the factors 582,282 . The biggest common factor number is the GCF number.
So the greatest common factor 582,282 is 6.

Lets's calculate LCM of 223,123

Lowest Common Multiple of 223,123 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 27429

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/27429

Therefore, the GCF of Fractions 582/223,282/123 is 6/27429

Least Common Multiple of 223,123 with GCF Formula

Least Common Multiple of 223,123 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 223,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(223,123) = 1

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

GCF(223,123) x common factors =1 x 1 = 1

LCM(223,123) = ( 223 × 123 ) / 1

LCM(223,123) = 27429 / 1

LCM(223,123) = 27429


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FAQs on GCF of Fractions of 582/223, 282/123

1. What is the HCF of 582,282?

The HCF of 582,282 is 6

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 582/223, 282/123?

Answer: GCF of Numerators as per given numbers 582/223, 282/123 is

GCF of Numerators i.e. for 582,282 is 6

LCM of denominators i.e. for 223,123 is 27429.

Thus, GCF of Fractions is 6/27429.Finally, GCF of Fractions for 582/223, 282/123 is 6/27429.