How to Find GCF of 4245/226, 8143/3466?

GCF of 4245/226, 8143/3466

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 4245/226, 8143/3466 i.e 1/391658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4245/226, 8143/3466.

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 4245/226,8143/3466?

Given fractions are 4245/226,8143/3466

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 4245/226,8143/3466, numerators are 4245,8143

Denominators are 226,3466

The GCF of 4245,8143 is 1 .

LCM of 226,3466 is 391658.

The greatest common factor of 4245/226,8143/3466 = [GCF of 4245,8143]/[LCM of 226,3466]= 1/391658

Therefore, the GCF of 4245/226,8143/3466 is 1/391658.

Greatest Common Factor of 4245,8143

To find the highest common factor of 4245,8143, we have to find the factors of both numbers and list the highest common factor.

The factors of 4245 are 1, 3, 5, 15, 283, 849, 1415, 4245

The factors of 8143 are 1, 17, 479, 8143

The HCF of 4245,8143 is 1.

Lets's calculate GCF of 4245,8143

Greatest Common Factor (GCF) of 4245,8143 By Common Division

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

Greatest Common Factor of 4245,8143 By Matching Biggest Common Factor Method

Now, list down the factors of 4245

1,3,5,15,283,849,1415,4245

Now, list down the factors of 8143

1,17,479,8143

Greatest Common Factor

We found the factors 4245,8143 . The biggest common factor number is the GCF number.
So the greatest common factor 4245,8143 is 1.

Lets's calculate LCM of 226,3466

Lowest Common Multiple of 226,3466 using Common Division

2	226, 3466
	113, 1733

∴ So the LCM of the given numbers is 2 x 113 x 1733 = 391658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/391658

Therefore, the GCF of Fractions 4245/226,8143/3466 is 1/391658

Least Common Multiple of 226,3466 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 226,3466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(226,3466) = 2

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

GCF(226,3466) x common factors =2 x 1 = 2

LCM(226,3466) = ( 226 × 3466 ) / 2

LCM(226,3466) = 783316 / 2

LCM(226,3466) = 391658

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FAQs on GCF of Fractions of 4245/226, 8143/3466

1. What is the HCF of 4245,8143?

The HCF of 4245,8143 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 4245/226, 8143/3466?

Answer: GCF of Numerators as per given numbers 4245/226, 8143/3466 is

GCF of Numerators i.e. for 4245,8143 is 1

LCM of denominators i.e. for 226,3466 is 391658.

Thus, GCF of Fractions is 1/391658.Finally, GCF of Fractions for 4245/226, 8143/3466 is 1/391658.