How to Find GCF of 589/891, 650/964?

GCF of 589/891, 650/964

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 589/891, 650/964 i.e 1/858924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 589/891, 650/964.

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 589/891,650/964?

Given fractions are 589/891,650/964

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 589/891,650/964, numerators are 589,650

Denominators are 891,964

The GCF of 589,650 is 1 .

LCM of 891,964 is 858924.

The greatest common factor of 589/891,650/964 = [GCF of 589,650]/[LCM of 891,964]= 1/858924

Therefore, the GCF of 589/891,650/964 is 1/858924.

Greatest Common Factor of 589,650

To find the highest common factor of 589,650, 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 650 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

The HCF of 589,650 is 1.

Lets's calculate GCF of 589,650

Greatest Common Factor (GCF) of 589,650 By Common Division

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

Greatest Common Factor of 589,650 By Matching Biggest Common Factor Method

Now, list down the factors of 589

1,19,31,589

Now, list down the factors of 650

1,2,5,10,13,25,26,50,65,130,325,650

Greatest Common Factor

We found the factors 589,650 . The biggest common factor number is the GCF number.
So the greatest common factor 589,650 is 1.

Lets's calculate LCM of 891,964

Lowest Common Multiple of 891,964 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 858924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/858924

Therefore, the GCF of Fractions 589/891,650/964 is 1/858924

Least Common Multiple of 891,964 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 891,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(891,964) = 1

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

GCF(891,964) x common factors =1 x 1 = 1

LCM(891,964) = ( 891 × 964 ) / 1

LCM(891,964) = 858924 / 1

LCM(891,964) = 858924

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FAQs on GCF of Fractions of 589/891, 650/964

1. What is the HCF of 589,650?

The HCF of 589,650 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 589/891, 650/964?

Answer: GCF of Numerators as per given numbers 589/891, 650/964 is

GCF of Numerators i.e. for 589,650 is 1

LCM of denominators i.e. for 891,964 is 858924.

Thus, GCF of Fractions is 1/858924.Finally, GCF of Fractions for 589/891, 650/964 is 1/858924.