How to Find GCF of 4843/493, 6061/8795?

GCF of 4843/493, 6061/8795

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 4843/493, 6061/8795 i.e 29/4335935 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4843/493, 6061/8795.

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 4843/493,6061/8795?

Given fractions are 4843/493,6061/8795

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 4843/493,6061/8795, numerators are 4843,6061

Denominators are 493,8795

The GCF of 4843,6061 is 29 .

LCM of 493,8795 is 4335935.

The greatest common factor of 4843/493,6061/8795 = [GCF of 4843,6061]/[LCM of 493,8795]= 29/4335935

Therefore, the GCF of 4843/493,6061/8795 is 29/4335935.

Greatest Common Factor of 4843,6061

To find the highest common factor of 4843,6061, we have to find the factors of both numbers and list the highest common factor.

The factors of 4843 are 1, 29, 167, 4843

The factors of 6061 are 1, 11, 19, 29, 209, 319, 551, 6061

The HCF of 4843,6061 is 29.

Lets's calculate GCF of 4843,6061

Greatest Common Factor (GCF) of 4843,6061 By Common Division

29	4843, 6061
	167, 209

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 4843,6061 By Matching Biggest Common Factor Method

Now, list down the factors of 4843

1,29,167,4843

Now, list down the factors of 6061

1,11,19,29,209,319,551,6061

Greatest Common Factor

We found the factors 4843,6061 . The biggest common factor number is the GCF number.
So the greatest common factor 4843,6061 is 29.

Lets's calculate LCM of 493,8795

Lowest Common Multiple of 493,8795 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4335935

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/4335935

Therefore, the GCF of Fractions 4843/493,6061/8795 is 29/4335935

Least Common Multiple of 493,8795 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 493,8795 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,8795) = 1

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

GCF(493,8795) x common factors =1 x 1 = 1

LCM(493,8795) = ( 493 × 8795 ) / 1

LCM(493,8795) = 4335935 / 1

LCM(493,8795) = 4335935

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FAQs on GCF of Fractions of 4843/493, 6061/8795

1. What is the HCF of 4843,6061?

The HCF of 4843,6061 is 29

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 4843/493, 6061/8795?

Answer: GCF of Numerators as per given numbers 4843/493, 6061/8795 is

GCF of Numerators i.e. for 4843,6061 is 29

LCM of denominators i.e. for 493,8795 is 4335935.

Thus, GCF of Fractions is 29/4335935.Finally, GCF of Fractions for 4843/493, 6061/8795 is 29/4335935.