How to Find GCF of 4406/132, 4431/2264?

GCF of 4406/132, 4431/2264

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 4406/132, 4431/2264 i.e 1/74712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4406/132, 4431/2264.

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 4406/132,4431/2264?

Given fractions are 4406/132,4431/2264

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 4406/132,4431/2264, numerators are 4406,4431

Denominators are 132,2264

The GCF of 4406,4431 is 1 .

LCM of 132,2264 is 74712.

The greatest common factor of 4406/132,4431/2264 = [GCF of 4406,4431]/[LCM of 132,2264]= 1/74712

Therefore, the GCF of 4406/132,4431/2264 is 1/74712.

Greatest Common Factor of 4406,4431

To find the highest common factor of 4406,4431, we have to find the factors of both numbers and list the highest common factor.

The factors of 4406 are 1, 2, 2203, 4406

The factors of 4431 are 1, 3, 7, 21, 211, 633, 1477, 4431

The HCF of 4406,4431 is 1.

Lets's calculate GCF of 4406,4431

Greatest Common Factor (GCF) of 4406,4431 By Common Division

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

Greatest Common Factor of 4406,4431 By Matching Biggest Common Factor Method

Now, list down the factors of 4406

1,2,2203,4406

Now, list down the factors of 4431

1,3,7,21,211,633,1477,4431

Greatest Common Factor

We found the factors 4406,4431 . The biggest common factor number is the GCF number.
So the greatest common factor 4406,4431 is 1.

Lets's calculate LCM of 132,2264

Lowest Common Multiple of 132,2264 using Common Division

2	132, 2264
2	66, 1132
	33, 566

∴ So the LCM of the given numbers is 2 x 2 x 33 x 566 = 74712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74712

Therefore, the GCF of Fractions 4406/132,4431/2264 is 1/74712

Least Common Multiple of 132,2264 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 132,2264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(132,2264) = 4

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

GCF(132,2264) x common factors =4 x 1 = 4

LCM(132,2264) = ( 132 × 2264 ) / 4

LCM(132,2264) = 298848 / 4

LCM(132,2264) = 74712

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4406/132, 4431/2264

1. What is the HCF of 4406,4431?

The HCF of 4406,4431 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 4406/132, 4431/2264?

Answer: GCF of Numerators as per given numbers 4406/132, 4431/2264 is

GCF of Numerators i.e. for 4406,4431 is 1

LCM of denominators i.e. for 132,2264 is 74712.

Thus, GCF of Fractions is 1/74712.Finally, GCF of Fractions for 4406/132, 4431/2264 is 1/74712.