LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 589/65, 928/981

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 589/65, 928/981 i.e 1/63765 easily. The following is the detailed procedure to determine the greatest common factor of fractions 589/65, 928/981.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 589/65,928/981?

Given fractions are 589/65,928/981

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 589/65,928/981, numerators are 589,928

Denominators are 65,981

The GCF of 589,928 is 1 .

LCM of 65,981 is 63765.

The greatest common factor of 589/65,928/981 = [GCF of 589,928]/[LCM of 65,981]= 1/63765

Therefore, the GCF of 589/65,928/981 is 1/63765.

Greatest Common Factor of 589,928

To find the highest common factor of 589,928, we have to find the factors of both numbers and list the highest common factor.

The factors of 589 are 1, 19, 31, 589

The factors of 928 are 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

The HCF of 589,928 is 1.

Lets's calculate GCF of 589,928

Greatest Common Factor (GCF) of 589,928 By Common Division

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

Greatest Common Factor of 589,928 By Matching Biggest Common Factor Method

Greatest Common Factor of 589,928 By Matching Biggest Common Factor Method

Now, list down the factors of 589

:

1,19,31,589

Now, list down the factors of 928

:

1,2,4,8,16,29,32,58,116,232,464,928

Greatest Common Factor

We found the factors 589,928 . The biggest common factor number is the GCF number.
So the greatest common factor 589,928 is 1.

Lets's calculate LCM of 65,981

Lowest Common Multiple of 65,981 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 63765

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63765

Therefore, the GCF of Fractions 589/65,928/981 is 1/63765

Least Common Multiple of 65,981 with GCF Formula

Least Common Multiple of 65,981 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 65,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,981) = 1

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

GCF(65,981) x common factors =1 x 1 = 1

LCM(65,981) = ( 65 × 981 ) / 1

LCM(65,981) = 63765 / 1

LCM(65,981) = 63765


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 589/65, 928/981

1. What is the HCF of 589,928?

The HCF of 589,928 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 589/65, 928/981?

Answer: GCF of Numerators as per given numbers 589/65, 928/981 is

GCF of Numerators i.e. for 589,928 is 1

LCM of denominators i.e. for 65,981 is 63765.

Thus, GCF of Fractions is 1/63765.Finally, GCF of Fractions for 589/65, 928/981 is 1/63765.