How to Find GCF of 5977/397, 4046/2471?

GCF of 5977/397, 4046/2471

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 5977/397, 4046/2471 i.e 1/980987 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5977/397, 4046/2471.

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 5977/397,4046/2471?

Given fractions are 5977/397,4046/2471

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 5977/397,4046/2471, numerators are 5977,4046

Denominators are 397,2471

The GCF of 5977,4046 is 1 .

LCM of 397,2471 is 980987.

The greatest common factor of 5977/397,4046/2471 = [GCF of 5977,4046]/[LCM of 397,2471]= 1/980987

Therefore, the GCF of 5977/397,4046/2471 is 1/980987.

Greatest Common Factor of 5977,4046

To find the highest common factor of 5977,4046, we have to find the factors of both numbers and list the highest common factor.

The factors of 5977 are 1, 43, 139, 5977

The factors of 4046 are 1, 2, 7, 14, 17, 34, 119, 238, 289, 578, 2023, 4046

The HCF of 5977,4046 is 1.

Lets's calculate GCF of 5977,4046

Greatest Common Factor (GCF) of 5977,4046 By Common Division

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

Greatest Common Factor of 5977,4046 By Matching Biggest Common Factor Method

Now, list down the factors of 5977

1,43,139,5977

Now, list down the factors of 4046

1,2,7,14,17,34,119,238,289,578,2023,4046

Greatest Common Factor

We found the factors 5977,4046 . The biggest common factor number is the GCF number.
So the greatest common factor 5977,4046 is 1.

Lets's calculate LCM of 397,2471

Lowest Common Multiple of 397,2471 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 980987

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/980987

Therefore, the GCF of Fractions 5977/397,4046/2471 is 1/980987

Least Common Multiple of 397,2471 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 397,2471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(397,2471) = 1

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

GCF(397,2471) x common factors =1 x 1 = 1

LCM(397,2471) = ( 397 × 2471 ) / 1

LCM(397,2471) = 980987 / 1

LCM(397,2471) = 980987

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FAQs on GCF of Fractions of 5977/397, 4046/2471

1. What is the HCF of 5977,4046?

The HCF of 5977,4046 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 5977/397, 4046/2471?

Answer: GCF of Numerators as per given numbers 5977/397, 4046/2471 is

GCF of Numerators i.e. for 5977,4046 is 1

LCM of denominators i.e. for 397,2471 is 980987.

Thus, GCF of Fractions is 1/980987.Finally, GCF of Fractions for 5977/397, 4046/2471 is 1/980987.