How to Find GCF of 224/353, 5436/458?

GCF of 224/353, 5436/458

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 224/353, 5436/458 i.e 4/161674 easily. The following is the detailed procedure to determine the greatest common factor of fractions 224/353, 5436/458.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 224/353,5436/458?

Given fractions are 224/353,5436/458

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 224/353,5436/458, numerators are 224,5436

Denominators are 353,458

The GCF of 224,5436 is 4 .

LCM of 353,458 is 161674.

The greatest common factor of 224/353,5436/458 = [GCF of 224,5436]/[LCM of 353,458]= 4/161674

Therefore, the GCF of 224/353,5436/458 is 4/161674.

Greatest Common Factor of 224,5436

To find the highest common factor of 224,5436, we have to find the factors of both numbers and list the highest common factor.

The factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

The factors of 5436 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 151, 302, 453, 604, 906, 1359, 1812, 2718, 5436

The HCF of 224,5436 is 4.

Lets's calculate GCF of 224,5436

Greatest Common Factor (GCF) of 224,5436 By Common Division

2	224, 5436
2	112, 2718
	56, 1359

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 224,5436 By Matching Biggest Common Factor Method

Now, list down the factors of 224

1,2,4,7,8,14,16,28,32,56,112,224

Now, list down the factors of 5436

1,2,3,4,6,9,12,18,36,151,302,453,604,906,1359,1812,2718,5436

Greatest Common Factor

We found the factors 224,5436 . The biggest common factor number is the GCF number.
So the greatest common factor 224,5436 is 4.

Lets's calculate LCM of 353,458

Lowest Common Multiple of 353,458 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 161674

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/161674

Therefore, the GCF of Fractions 224/353,5436/458 is 4/161674

Least Common Multiple of 353,458 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 353,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(353,458) = 1

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

GCF(353,458) x common factors =1 x 1 = 1

LCM(353,458) = ( 353 × 458 ) / 1

LCM(353,458) = 161674 / 1

LCM(353,458) = 161674

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FAQs on GCF of Fractions of 224/353, 5436/458

1. What is the HCF of 224,5436?

The HCF of 224,5436 is 4

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 224/353, 5436/458?

Answer: GCF of Numerators as per given numbers 224/353, 5436/458 is

GCF of Numerators i.e. for 224,5436 is 4

LCM of denominators i.e. for 353,458 is 161674.

Thus, GCF of Fractions is 4/161674.Finally, GCF of Fractions for 224/353, 5436/458 is 4/161674.