How to Find GCF of 1618/290, 5777/1483?

GCF of 1618/290, 5777/1483

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 1618/290, 5777/1483 i.e 1/430070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1618/290, 5777/1483.

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 1618/290,5777/1483?

Given fractions are 1618/290,5777/1483

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 1618/290,5777/1483, numerators are 1618,5777

Denominators are 290,1483

The GCF of 1618,5777 is 1 .

LCM of 290,1483 is 430070.

The greatest common factor of 1618/290,5777/1483 = [GCF of 1618,5777]/[LCM of 290,1483]= 1/430070

Therefore, the GCF of 1618/290,5777/1483 is 1/430070.

Greatest Common Factor of 1618,5777

To find the highest common factor of 1618,5777, we have to find the factors of both numbers and list the highest common factor.

The factors of 1618 are 1, 2, 809, 1618

The factors of 5777 are 1, 53, 109, 5777

The HCF of 1618,5777 is 1.

Lets's calculate GCF of 1618,5777

Greatest Common Factor (GCF) of 1618,5777 By Common Division

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

Greatest Common Factor of 1618,5777 By Matching Biggest Common Factor Method

Now, list down the factors of 1618

1,2,809,1618

Now, list down the factors of 5777

1,53,109,5777

Greatest Common Factor

We found the factors 1618,5777 . The biggest common factor number is the GCF number.
So the greatest common factor 1618,5777 is 1.

Lets's calculate LCM of 290,1483

Lowest Common Multiple of 290,1483 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 430070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/430070

Therefore, the GCF of Fractions 1618/290,5777/1483 is 1/430070

Least Common Multiple of 290,1483 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 290,1483 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,1483) = 1

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

GCF(290,1483) x common factors =1 x 1 = 1

LCM(290,1483) = ( 290 × 1483 ) / 1

LCM(290,1483) = 430070 / 1

LCM(290,1483) = 430070

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FAQs on GCF of Fractions of 1618/290, 5777/1483

1. What is the HCF of 1618,5777?

The HCF of 1618,5777 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 1618/290, 5777/1483?

Answer: GCF of Numerators as per given numbers 1618/290, 5777/1483 is

GCF of Numerators i.e. for 1618,5777 is 1

LCM of denominators i.e. for 290,1483 is 430070.

Thus, GCF of Fractions is 1/430070.Finally, GCF of Fractions for 1618/290, 5777/1483 is 1/430070.