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GCF of 289/12, 593/967

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 289/12, 593/967 i.e 1/11604 easily. The following is the detailed procedure to determine the greatest common factor of fractions 289/12, 593/967.

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 289/12,593/967?

Given fractions are 289/12,593/967

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 289/12,593/967, numerators are 289,593

Denominators are 12,967

The GCF of 289,593 is 1 .

LCM of 12,967 is 11604.

The greatest common factor of 289/12,593/967 = [GCF of 289,593]/[LCM of 12,967]= 1/11604

Therefore, the GCF of 289/12,593/967 is 1/11604.

Greatest Common Factor of 289,593

To find the highest common factor of 289,593, we have to find the factors of both numbers and list the highest common factor.

The factors of 289 are 1, 17, 289

The factors of 593 are 1, 593

The HCF of 289,593 is 1.

Lets's calculate GCF of 289,593

Greatest Common Factor (GCF) of 289,593 By Common Division

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

Greatest Common Factor of 289,593 By Matching Biggest Common Factor Method

Greatest Common Factor of 289,593 By Matching Biggest Common Factor Method

Now, list down the factors of 289

:

1,17,289

Now, list down the factors of 593

:

1,593

Greatest Common Factor

We found the factors 289,593 . The biggest common factor number is the GCF number.
So the greatest common factor 289,593 is 1.

Lets's calculate LCM of 12,967

Lowest Common Multiple of 12,967 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 11604

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11604

Therefore, the GCF of Fractions 289/12,593/967 is 1/11604

Least Common Multiple of 12,967 with GCF Formula

Least Common Multiple of 12,967 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 12,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,967) = 1

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

GCF(12,967) x common factors =1 x 1 = 1

LCM(12,967) = ( 12 × 967 ) / 1

LCM(12,967) = 11604 / 1

LCM(12,967) = 11604


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FAQs on GCF of Fractions of 289/12, 593/967

1. What is the HCF of 289,593?

The HCF of 289,593 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 289/12, 593/967?

Answer: GCF of Numerators as per given numbers 289/12, 593/967 is

GCF of Numerators i.e. for 289,593 is 1

LCM of denominators i.e. for 12,967 is 11604.

Thus, GCF of Fractions is 1/11604.Finally, GCF of Fractions for 289/12, 593/967 is 1/11604.