How to Find GCF of 6182/464, 6061/5757?

GCF of 6182/464, 6061/5757

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 6182/464, 6061/5757 i.e 11/2671248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6182/464, 6061/5757.

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 6182/464,6061/5757?

Given fractions are 6182/464,6061/5757

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 6182/464,6061/5757, numerators are 6182,6061

Denominators are 464,5757

The GCF of 6182,6061 is 11 .

LCM of 464,5757 is 2671248.

The greatest common factor of 6182/464,6061/5757 = [GCF of 6182,6061]/[LCM of 464,5757]= 11/2671248

Therefore, the GCF of 6182/464,6061/5757 is 11/2671248.

Greatest Common Factor of 6182,6061

To find the highest common factor of 6182,6061, we have to find the factors of both numbers and list the highest common factor.

The factors of 6182 are 1, 2, 11, 22, 281, 562, 3091, 6182

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

The HCF of 6182,6061 is 11.

Lets's calculate GCF of 6182,6061

Greatest Common Factor (GCF) of 6182,6061 By Common Division

11	6182, 6061
	562, 551

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 6182,6061 By Matching Biggest Common Factor Method

Now, list down the factors of 6182

1,2,11,22,281,562,3091,6182

Now, list down the factors of 6061

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

Greatest Common Factor

We found the factors 6182,6061 . The biggest common factor number is the GCF number.
So the greatest common factor 6182,6061 is 11.

Lets's calculate LCM of 464,5757

Lowest Common Multiple of 464,5757 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2671248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2671248

Therefore, the GCF of Fractions 6182/464,6061/5757 is 11/2671248

Least Common Multiple of 464,5757 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 464,5757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,5757) = 1

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

GCF(464,5757) x common factors =1 x 1 = 1

LCM(464,5757) = ( 464 × 5757 ) / 1

LCM(464,5757) = 2671248 / 1

LCM(464,5757) = 2671248

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FAQs on GCF of Fractions of 6182/464, 6061/5757

1. What is the HCF of 6182,6061?

The HCF of 6182,6061 is 11

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 6182/464, 6061/5757?

Answer: GCF of Numerators as per given numbers 6182/464, 6061/5757 is

GCF of Numerators i.e. for 6182,6061 is 11

LCM of denominators i.e. for 464,5757 is 2671248.

Thus, GCF of Fractions is 11/2671248.Finally, GCF of Fractions for 6182/464, 6061/5757 is 11/2671248.