How to Find GCF of 5711/589, 8478/6264?

GCF of 5711/589, 8478/6264

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 5711/589, 8478/6264 i.e 1/3689496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5711/589, 8478/6264.

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 5711/589,8478/6264?

Given fractions are 5711/589,8478/6264

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 5711/589,8478/6264, numerators are 5711,8478

Denominators are 589,6264

The GCF of 5711,8478 is 1 .

LCM of 589,6264 is 3689496.

The greatest common factor of 5711/589,8478/6264 = [GCF of 5711,8478]/[LCM of 589,6264]= 1/3689496

Therefore, the GCF of 5711/589,8478/6264 is 1/3689496.

Greatest Common Factor of 5711,8478

To find the highest common factor of 5711,8478, we have to find the factors of both numbers and list the highest common factor.

The factors of 5711 are 1, 5711

The factors of 8478 are 1, 2, 3, 6, 9, 18, 27, 54, 157, 314, 471, 942, 1413, 2826, 4239, 8478

The HCF of 5711,8478 is 1.

Lets's calculate GCF of 5711,8478

Greatest Common Factor (GCF) of 5711,8478 By Common Division

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

Greatest Common Factor of 5711,8478 By Matching Biggest Common Factor Method

Now, list down the factors of 5711

1,5711

Now, list down the factors of 8478

1,2,3,6,9,18,27,54,157,314,471,942,1413,2826,4239,8478

Greatest Common Factor

We found the factors 5711,8478 . The biggest common factor number is the GCF number.
So the greatest common factor 5711,8478 is 1.

Lets's calculate LCM of 589,6264

Lowest Common Multiple of 589,6264 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3689496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3689496

Therefore, the GCF of Fractions 5711/589,8478/6264 is 1/3689496

Least Common Multiple of 589,6264 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 589,6264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(589,6264) = 1

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

GCF(589,6264) x common factors =1 x 1 = 1

LCM(589,6264) = ( 589 × 6264 ) / 1

LCM(589,6264) = 3689496 / 1

LCM(589,6264) = 3689496

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5711/589, 8478/6264

1. What is the HCF of 5711,8478?

The HCF of 5711,8478 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 5711/589, 8478/6264?

Answer: GCF of Numerators as per given numbers 5711/589, 8478/6264 is

GCF of Numerators i.e. for 5711,8478 is 1

LCM of denominators i.e. for 589,6264 is 3689496.

Thus, GCF of Fractions is 1/3689496.Finally, GCF of Fractions for 5711/589, 8478/6264 is 1/3689496.