How to Find GCF of 4433/827, 4849/4532?

GCF of 4433/827, 4849/4532

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 4433/827, 4849/4532 i.e 13/3747964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4433/827, 4849/4532.

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 4433/827,4849/4532?

Given fractions are 4433/827,4849/4532

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 4433/827,4849/4532, numerators are 4433,4849

Denominators are 827,4532

The GCF of 4433,4849 is 13 .

LCM of 827,4532 is 3747964.

The greatest common factor of 4433/827,4849/4532 = [GCF of 4433,4849]/[LCM of 827,4532]= 13/3747964

Therefore, the GCF of 4433/827,4849/4532 is 13/3747964.

Greatest Common Factor of 4433,4849

To find the highest common factor of 4433,4849, we have to find the factors of both numbers and list the highest common factor.

The factors of 4433 are 1, 11, 13, 31, 143, 341, 403, 4433

The factors of 4849 are 1, 13, 373, 4849

The HCF of 4433,4849 is 13.

Lets's calculate GCF of 4433,4849

Greatest Common Factor (GCF) of 4433,4849 By Common Division

13	4433, 4849
	341, 373

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 4433,4849 By Matching Biggest Common Factor Method

Now, list down the factors of 4433

1,11,13,31,143,341,403,4433

Now, list down the factors of 4849

1,13,373,4849

Greatest Common Factor

We found the factors 4433,4849 . The biggest common factor number is the GCF number.
So the greatest common factor 4433,4849 is 13.

Lets's calculate LCM of 827,4532

Lowest Common Multiple of 827,4532 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3747964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/3747964

Therefore, the GCF of Fractions 4433/827,4849/4532 is 13/3747964

Least Common Multiple of 827,4532 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 827,4532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,4532) = 1

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

GCF(827,4532) x common factors =1 x 1 = 1

LCM(827,4532) = ( 827 × 4532 ) / 1

LCM(827,4532) = 3747964 / 1

LCM(827,4532) = 3747964

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4433/827, 4849/4532

1. What is the HCF of 4433,4849?

The HCF of 4433,4849 is 13

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 4433/827, 4849/4532?

Answer: GCF of Numerators as per given numbers 4433/827, 4849/4532 is

GCF of Numerators i.e. for 4433,4849 is 13

LCM of denominators i.e. for 827,4532 is 3747964.

Thus, GCF of Fractions is 13/3747964.Finally, GCF of Fractions for 4433/827, 4849/4532 is 13/3747964.