How to Find GCF of 3049/182, 4167/5976?

GCF of 3049/182, 4167/5976

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 3049/182, 4167/5976 i.e 1/543816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3049/182, 4167/5976.

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 3049/182,4167/5976?

Given fractions are 3049/182,4167/5976

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 3049/182,4167/5976, numerators are 3049,4167

Denominators are 182,5976

The GCF of 3049,4167 is 1 .

LCM of 182,5976 is 543816.

The greatest common factor of 3049/182,4167/5976 = [GCF of 3049,4167]/[LCM of 182,5976]= 1/543816

Therefore, the GCF of 3049/182,4167/5976 is 1/543816.

Greatest Common Factor of 3049,4167

To find the highest common factor of 3049,4167, we have to find the factors of both numbers and list the highest common factor.

The factors of 3049 are 1, 3049

The factors of 4167 are 1, 3, 9, 463, 1389, 4167

The HCF of 3049,4167 is 1.

Lets's calculate GCF of 3049,4167

Greatest Common Factor (GCF) of 3049,4167 By Common Division

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

Greatest Common Factor of 3049,4167 By Matching Biggest Common Factor Method

Now, list down the factors of 3049

1,3049

Now, list down the factors of 4167

1,3,9,463,1389,4167

Greatest Common Factor

We found the factors 3049,4167 . The biggest common factor number is the GCF number.
So the greatest common factor 3049,4167 is 1.

Lets's calculate LCM of 182,5976

Lowest Common Multiple of 182,5976 using Common Division

2	182, 5976
	91, 2988

∴ So the LCM of the given numbers is 2 x 91 x 2988 = 543816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/543816

Therefore, the GCF of Fractions 3049/182,4167/5976 is 1/543816

Least Common Multiple of 182,5976 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 182,5976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(182,5976) = 2

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

GCF(182,5976) x common factors =2 x 1 = 2

LCM(182,5976) = ( 182 × 5976 ) / 2

LCM(182,5976) = 1087632 / 2

LCM(182,5976) = 543816

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FAQs on GCF of Fractions of 3049/182, 4167/5976

1. What is the HCF of 3049,4167?

The HCF of 3049,4167 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 3049/182, 4167/5976?

Answer: GCF of Numerators as per given numbers 3049/182, 4167/5976 is

GCF of Numerators i.e. for 3049,4167 is 1

LCM of denominators i.e. for 182,5976 is 543816.

Thus, GCF of Fractions is 1/543816.Finally, GCF of Fractions for 3049/182, 4167/5976 is 1/543816.