How to Find GCF of 4215/362, 3403/1728?

GCF of 4215/362, 3403/1728

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 4215/362, 3403/1728 i.e 1/312768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4215/362, 3403/1728.

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 4215/362,3403/1728?

Given fractions are 4215/362,3403/1728

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 4215/362,3403/1728, numerators are 4215,3403

Denominators are 362,1728

The GCF of 4215,3403 is 1 .

LCM of 362,1728 is 312768.

The greatest common factor of 4215/362,3403/1728 = [GCF of 4215,3403]/[LCM of 362,1728]= 1/312768

Therefore, the GCF of 4215/362,3403/1728 is 1/312768.

Greatest Common Factor of 4215,3403

To find the highest common factor of 4215,3403, we have to find the factors of both numbers and list the highest common factor.

The factors of 4215 are 1, 3, 5, 15, 281, 843, 1405, 4215

The factors of 3403 are 1, 41, 83, 3403

The HCF of 4215,3403 is 1.

Lets's calculate GCF of 4215,3403

Greatest Common Factor (GCF) of 4215,3403 By Common Division

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

Greatest Common Factor of 4215,3403 By Matching Biggest Common Factor Method

Now, list down the factors of 4215

1,3,5,15,281,843,1405,4215

Now, list down the factors of 3403

1,41,83,3403

Greatest Common Factor

We found the factors 4215,3403 . The biggest common factor number is the GCF number.
So the greatest common factor 4215,3403 is 1.

Lets's calculate LCM of 362,1728

Lowest Common Multiple of 362,1728 using Common Division

2	362, 1728
	181, 864

∴ So the LCM of the given numbers is 2 x 181 x 864 = 312768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/312768

Therefore, the GCF of Fractions 4215/362,3403/1728 is 1/312768

Least Common Multiple of 362,1728 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 362,1728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,1728) = 2

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

GCF(362,1728) x common factors =2 x 1 = 2

LCM(362,1728) = ( 362 × 1728 ) / 2

LCM(362,1728) = 625536 / 2

LCM(362,1728) = 312768

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FAQs on GCF of Fractions of 4215/362, 3403/1728

1. What is the HCF of 4215,3403?

The HCF of 4215,3403 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 4215/362, 3403/1728?

Answer: GCF of Numerators as per given numbers 4215/362, 3403/1728 is

GCF of Numerators i.e. for 4215,3403 is 1

LCM of denominators i.e. for 362,1728 is 312768.

Thus, GCF of Fractions is 1/312768.Finally, GCF of Fractions for 4215/362, 3403/1728 is 1/312768.