How to Find GCF of 4426/172, 3727/4404?

GCF of 4426/172, 3727/4404

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 4426/172, 3727/4404 i.e 1/189372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4426/172, 3727/4404.

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 4426/172,3727/4404?

Given fractions are 4426/172,3727/4404

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 4426/172,3727/4404, numerators are 4426,3727

Denominators are 172,4404

The GCF of 4426,3727 is 1 .

LCM of 172,4404 is 189372.

The greatest common factor of 4426/172,3727/4404 = [GCF of 4426,3727]/[LCM of 172,4404]= 1/189372

Therefore, the GCF of 4426/172,3727/4404 is 1/189372.

Greatest Common Factor of 4426,3727

To find the highest common factor of 4426,3727, we have to find the factors of both numbers and list the highest common factor.

The factors of 4426 are 1, 2, 2213, 4426

The factors of 3727 are 1, 3727

The HCF of 4426,3727 is 1.

Lets's calculate GCF of 4426,3727

Greatest Common Factor (GCF) of 4426,3727 By Common Division

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

Greatest Common Factor of 4426,3727 By Matching Biggest Common Factor Method

Now, list down the factors of 4426

1,2,2213,4426

Now, list down the factors of 3727

1,3727

Greatest Common Factor

We found the factors 4426,3727 . The biggest common factor number is the GCF number.
So the greatest common factor 4426,3727 is 1.

Lets's calculate LCM of 172,4404

Lowest Common Multiple of 172,4404 using Common Division

2	172, 4404
2	86, 2202
	43, 1101

∴ So the LCM of the given numbers is 2 x 2 x 43 x 1101 = 189372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/189372

Therefore, the GCF of Fractions 4426/172,3727/4404 is 1/189372

Least Common Multiple of 172,4404 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 172,4404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,4404) = 4

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

GCF(172,4404) x common factors =4 x 1 = 4

LCM(172,4404) = ( 172 × 4404 ) / 4

LCM(172,4404) = 757488 / 4

LCM(172,4404) = 189372

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FAQs on GCF of Fractions of 4426/172, 3727/4404

1. What is the HCF of 4426,3727?

The HCF of 4426,3727 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 4426/172, 3727/4404?

Answer: GCF of Numerators as per given numbers 4426/172, 3727/4404 is

GCF of Numerators i.e. for 4426,3727 is 1

LCM of denominators i.e. for 172,4404 is 189372.

Thus, GCF of Fractions is 1/189372.Finally, GCF of Fractions for 4426/172, 3727/4404 is 1/189372.