How to Find GCF of 1859/629, 5290/5659?

GCF of 1859/629, 5290/5659

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 1859/629, 5290/5659 i.e 1/3559511 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1859/629, 5290/5659.

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 1859/629,5290/5659?

Given fractions are 1859/629,5290/5659

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 1859/629,5290/5659, numerators are 1859,5290

Denominators are 629,5659

The GCF of 1859,5290 is 1 .

LCM of 629,5659 is 3559511.

The greatest common factor of 1859/629,5290/5659 = [GCF of 1859,5290]/[LCM of 629,5659]= 1/3559511

Therefore, the GCF of 1859/629,5290/5659 is 1/3559511.

Greatest Common Factor of 1859,5290

To find the highest common factor of 1859,5290, we have to find the factors of both numbers and list the highest common factor.

The factors of 1859 are 1, 11, 13, 143, 169, 1859

The factors of 5290 are 1, 2, 5, 10, 23, 46, 115, 230, 529, 1058, 2645, 5290

The HCF of 1859,5290 is 1.

Lets's calculate GCF of 1859,5290

Greatest Common Factor (GCF) of 1859,5290 By Common Division

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

Greatest Common Factor of 1859,5290 By Matching Biggest Common Factor Method

Now, list down the factors of 1859

1,11,13,143,169,1859

Now, list down the factors of 5290

1,2,5,10,23,46,115,230,529,1058,2645,5290

Greatest Common Factor

We found the factors 1859,5290 . The biggest common factor number is the GCF number.
So the greatest common factor 1859,5290 is 1.

Lets's calculate LCM of 629,5659

Lowest Common Multiple of 629,5659 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3559511

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3559511

Therefore, the GCF of Fractions 1859/629,5290/5659 is 1/3559511

Least Common Multiple of 629,5659 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 629,5659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(629,5659) = 1

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

GCF(629,5659) x common factors =1 x 1 = 1

LCM(629,5659) = ( 629 × 5659 ) / 1

LCM(629,5659) = 3559511 / 1

LCM(629,5659) = 3559511

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1859/629, 5290/5659

1. What is the HCF of 1859,5290?

The HCF of 1859,5290 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 1859/629, 5290/5659?

Answer: GCF of Numerators as per given numbers 1859/629, 5290/5659 is

GCF of Numerators i.e. for 1859,5290 is 1

LCM of denominators i.e. for 629,5659 is 3559511.

Thus, GCF of Fractions is 1/3559511.Finally, GCF of Fractions for 1859/629, 5290/5659 is 1/3559511.