How to Find GCF of 1059/972, 5341/9619?

GCF of 1059/972, 5341/9619

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 1059/972, 5341/9619 i.e 1/9349668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1059/972, 5341/9619.

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 1059/972,5341/9619?

Given fractions are 1059/972,5341/9619

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 1059/972,5341/9619, numerators are 1059,5341

Denominators are 972,9619

The GCF of 1059,5341 is 1 .

LCM of 972,9619 is 9349668.

The greatest common factor of 1059/972,5341/9619 = [GCF of 1059,5341]/[LCM of 972,9619]= 1/9349668

Therefore, the GCF of 1059/972,5341/9619 is 1/9349668.

Greatest Common Factor of 1059,5341

To find the highest common factor of 1059,5341, we have to find the factors of both numbers and list the highest common factor.

The factors of 1059 are 1, 3, 353, 1059

The factors of 5341 are 1, 7, 49, 109, 763, 5341

The HCF of 1059,5341 is 1.

Lets's calculate GCF of 1059,5341

Greatest Common Factor (GCF) of 1059,5341 By Common Division

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

Greatest Common Factor of 1059,5341 By Matching Biggest Common Factor Method

Now, list down the factors of 1059

1,3,353,1059

Now, list down the factors of 5341

1,7,49,109,763,5341

Greatest Common Factor

We found the factors 1059,5341 . The biggest common factor number is the GCF number.
So the greatest common factor 1059,5341 is 1.

Lets's calculate LCM of 972,9619

Lowest Common Multiple of 972,9619 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9349668

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9349668

Therefore, the GCF of Fractions 1059/972,5341/9619 is 1/9349668

Least Common Multiple of 972,9619 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 972,9619 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,9619) = 1

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

GCF(972,9619) x common factors =1 x 1 = 1

LCM(972,9619) = ( 972 × 9619 ) / 1

LCM(972,9619) = 9349668 / 1

LCM(972,9619) = 9349668

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1059/972, 5341/9619

1. What is the HCF of 1059,5341?

The HCF of 1059,5341 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 1059/972, 5341/9619?

Answer: GCF of Numerators as per given numbers 1059/972, 5341/9619 is

GCF of Numerators i.e. for 1059,5341 is 1

LCM of denominators i.e. for 972,9619 is 9349668.

Thus, GCF of Fractions is 1/9349668.Finally, GCF of Fractions for 1059/972, 5341/9619 is 1/9349668.