How to Find GCF of 1559/171, 5763/6927?

GCF of 1559/171, 5763/6927

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 1559/171, 5763/6927 i.e 1/394839 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1559/171, 5763/6927.

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 1559/171,5763/6927?

Given fractions are 1559/171,5763/6927

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 1559/171,5763/6927, numerators are 1559,5763

Denominators are 171,6927

The GCF of 1559,5763 is 1 .

LCM of 171,6927 is 394839.

The greatest common factor of 1559/171,5763/6927 = [GCF of 1559,5763]/[LCM of 171,6927]= 1/394839

Therefore, the GCF of 1559/171,5763/6927 is 1/394839.

Greatest Common Factor of 1559,5763

To find the highest common factor of 1559,5763, we have to find the factors of both numbers and list the highest common factor.

The factors of 1559 are 1, 1559

The factors of 5763 are 1, 3, 17, 51, 113, 339, 1921, 5763

The HCF of 1559,5763 is 1.

Lets's calculate GCF of 1559,5763

Greatest Common Factor (GCF) of 1559,5763 By Common Division

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

Greatest Common Factor of 1559,5763 By Matching Biggest Common Factor Method

Now, list down the factors of 1559

1,1559

Now, list down the factors of 5763

1,3,17,51,113,339,1921,5763

Greatest Common Factor

We found the factors 1559,5763 . The biggest common factor number is the GCF number.
So the greatest common factor 1559,5763 is 1.

Lets's calculate LCM of 171,6927

Lowest Common Multiple of 171,6927 using Common Division

3	171, 6927
	57, 2309

∴ So the LCM of the given numbers is 3 x 57 x 2309 = 394839

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/394839

Therefore, the GCF of Fractions 1559/171,5763/6927 is 1/394839

Least Common Multiple of 171,6927 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 171,6927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,6927) = 3

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

GCF(171,6927) x common factors =3 x 1 = 3

LCM(171,6927) = ( 171 × 6927 ) / 3

LCM(171,6927) = 1184517 / 3

LCM(171,6927) = 394839

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FAQs on GCF of Fractions of 1559/171, 5763/6927

1. What is the HCF of 1559,5763?

The HCF of 1559,5763 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 1559/171, 5763/6927?

Answer: GCF of Numerators as per given numbers 1559/171, 5763/6927 is

GCF of Numerators i.e. for 1559,5763 is 1

LCM of denominators i.e. for 171,6927 is 394839.

Thus, GCF of Fractions is 1/394839.Finally, GCF of Fractions for 1559/171, 5763/6927 is 1/394839.