How to Find GCF of 4466/146, 4119/9638?

GCF of 4466/146, 4119/9638

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 4466/146, 4119/9638 i.e 1/703574 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4466/146, 4119/9638.

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 4466/146,4119/9638?

Given fractions are 4466/146,4119/9638

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 4466/146,4119/9638, numerators are 4466,4119

Denominators are 146,9638

The GCF of 4466,4119 is 1 .

LCM of 146,9638 is 703574.

The greatest common factor of 4466/146,4119/9638 = [GCF of 4466,4119]/[LCM of 146,9638]= 1/703574

Therefore, the GCF of 4466/146,4119/9638 is 1/703574.

Greatest Common Factor of 4466,4119

To find the highest common factor of 4466,4119, we have to find the factors of both numbers and list the highest common factor.

The factors of 4466 are 1, 2, 7, 11, 14, 22, 29, 58, 77, 154, 203, 319, 406, 638, 2233, 4466

The factors of 4119 are 1, 3, 1373, 4119

The HCF of 4466,4119 is 1.

Lets's calculate GCF of 4466,4119

Greatest Common Factor (GCF) of 4466,4119 By Common Division

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

Greatest Common Factor of 4466,4119 By Matching Biggest Common Factor Method

Now, list down the factors of 4466

1,2,7,11,14,22,29,58,77,154,203,319,406,638,2233,4466

Now, list down the factors of 4119

1,3,1373,4119

Greatest Common Factor

We found the factors 4466,4119 . The biggest common factor number is the GCF number.
So the greatest common factor 4466,4119 is 1.

Lets's calculate LCM of 146,9638

Lowest Common Multiple of 146,9638 using Common Division

2	146, 9638
	73, 4819

∴ So the LCM of the given numbers is 2 x 73 x 4819 = 703574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/703574

Therefore, the GCF of Fractions 4466/146,4119/9638 is 1/703574

Least Common Multiple of 146,9638 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 146,9638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,9638) = 2

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

GCF(146,9638) x common factors =2 x 1 = 2

LCM(146,9638) = ( 146 × 9638 ) / 2

LCM(146,9638) = 1407148 / 2

LCM(146,9638) = 703574

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FAQs on GCF of Fractions of 4466/146, 4119/9638

1. What is the HCF of 4466,4119?

The HCF of 4466,4119 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 4466/146, 4119/9638?

Answer: GCF of Numerators as per given numbers 4466/146, 4119/9638 is

GCF of Numerators i.e. for 4466,4119 is 1

LCM of denominators i.e. for 146,9638 is 703574.

Thus, GCF of Fractions is 1/703574.Finally, GCF of Fractions for 4466/146, 4119/9638 is 1/703574.