How to Find GCF of 4934/469, 4422/3362?

GCF of 4934/469, 4422/3362

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 4934/469, 4422/3362 i.e 2/1576778 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4934/469, 4422/3362.

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 4934/469,4422/3362?

Given fractions are 4934/469,4422/3362

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 4934/469,4422/3362, numerators are 4934,4422

Denominators are 469,3362

The GCF of 4934,4422 is 2 .

LCM of 469,3362 is 1576778.

The greatest common factor of 4934/469,4422/3362 = [GCF of 4934,4422]/[LCM of 469,3362]= 2/1576778

Therefore, the GCF of 4934/469,4422/3362 is 2/1576778.

Greatest Common Factor of 4934,4422

To find the highest common factor of 4934,4422, we have to find the factors of both numbers and list the highest common factor.

The factors of 4934 are 1, 2, 2467, 4934

The factors of 4422 are 1, 2, 3, 6, 11, 22, 33, 66, 67, 134, 201, 402, 737, 1474, 2211, 4422

The HCF of 4934,4422 is 2.

Lets's calculate GCF of 4934,4422

Greatest Common Factor (GCF) of 4934,4422 By Common Division

2	4934, 4422
	2467, 2211

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4934,4422 By Matching Biggest Common Factor Method

Now, list down the factors of 4934

1,2,2467,4934

Now, list down the factors of 4422

1,2,3,6,11,22,33,66,67,134,201,402,737,1474,2211,4422

Greatest Common Factor

We found the factors 4934,4422 . The biggest common factor number is the GCF number.
So the greatest common factor 4934,4422 is 2.

Lets's calculate LCM of 469,3362

Lowest Common Multiple of 469,3362 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1576778

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1576778

Therefore, the GCF of Fractions 4934/469,4422/3362 is 2/1576778

Least Common Multiple of 469,3362 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 469,3362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,3362) = 1

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

GCF(469,3362) x common factors =1 x 1 = 1

LCM(469,3362) = ( 469 × 3362 ) / 1

LCM(469,3362) = 1576778 / 1

LCM(469,3362) = 1576778

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FAQs on GCF of Fractions of 4934/469, 4422/3362

1. What is the HCF of 4934,4422?

The HCF of 4934,4422 is 2

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 4934/469, 4422/3362?

Answer: GCF of Numerators as per given numbers 4934/469, 4422/3362 is

GCF of Numerators i.e. for 4934,4422 is 2

LCM of denominators i.e. for 469,3362 is 1576778.

Thus, GCF of Fractions is 2/1576778.Finally, GCF of Fractions for 4934/469, 4422/3362 is 2/1576778.