How to Find GCF of 5687/204, 2047/9476?

GCF of 5687/204, 2047/9476

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 5687/204, 2047/9476 i.e 1/483276 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5687/204, 2047/9476.

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 5687/204,2047/9476?

Given fractions are 5687/204,2047/9476

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 5687/204,2047/9476, numerators are 5687,2047

Denominators are 204,9476

The GCF of 5687,2047 is 1 .

LCM of 204,9476 is 483276.

The greatest common factor of 5687/204,2047/9476 = [GCF of 5687,2047]/[LCM of 204,9476]= 1/483276

Therefore, the GCF of 5687/204,2047/9476 is 1/483276.

Greatest Common Factor of 5687,2047

To find the highest common factor of 5687,2047, we have to find the factors of both numbers and list the highest common factor.

The factors of 5687 are 1, 11, 47, 121, 517, 5687

The factors of 2047 are 1, 23, 89, 2047

The HCF of 5687,2047 is 1.

Lets's calculate GCF of 5687,2047

Greatest Common Factor (GCF) of 5687,2047 By Common Division

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

Greatest Common Factor of 5687,2047 By Matching Biggest Common Factor Method

Now, list down the factors of 5687

1,11,47,121,517,5687

Now, list down the factors of 2047

1,23,89,2047

Greatest Common Factor

We found the factors 5687,2047 . The biggest common factor number is the GCF number.
So the greatest common factor 5687,2047 is 1.

Lets's calculate LCM of 204,9476

Lowest Common Multiple of 204,9476 using Common Division

2	204, 9476
2	102, 4738
	51, 2369

∴ So the LCM of the given numbers is 2 x 2 x 51 x 2369 = 483276

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/483276

Therefore, the GCF of Fractions 5687/204,2047/9476 is 1/483276

Least Common Multiple of 204,9476 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 204,9476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,9476) = 4

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

GCF(204,9476) x common factors =4 x 1 = 4

LCM(204,9476) = ( 204 × 9476 ) / 4

LCM(204,9476) = 1933104 / 4

LCM(204,9476) = 483276

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FAQs on GCF of Fractions of 5687/204, 2047/9476

1. What is the HCF of 5687,2047?

The HCF of 5687,2047 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 5687/204, 2047/9476?

Answer: GCF of Numerators as per given numbers 5687/204, 2047/9476 is

GCF of Numerators i.e. for 5687,2047 is 1

LCM of denominators i.e. for 204,9476 is 483276.

Thus, GCF of Fractions is 1/483276.Finally, GCF of Fractions for 5687/204, 2047/9476 is 1/483276.