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 1031/589, 9607/9708

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 1031/589, 9607/9708 i.e 1/5718012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1031/589, 9607/9708.

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 1031/589,9607/9708?

Given fractions are 1031/589,9607/9708

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 1031/589,9607/9708, numerators are 1031,9607

Denominators are 589,9708

The GCF of 1031,9607 is 1 .

LCM of 589,9708 is 5718012.

The greatest common factor of 1031/589,9607/9708 = [GCF of 1031,9607]/[LCM of 589,9708]= 1/5718012

Therefore, the GCF of 1031/589,9607/9708 is 1/5718012.

Greatest Common Factor of 1031,9607

To find the highest common factor of 1031,9607, we have to find the factors of both numbers and list the highest common factor.

The factors of 1031 are 1, 1031

The factors of 9607 are 1, 13, 739, 9607

The HCF of 1031,9607 is 1.

Lets's calculate GCF of 1031,9607

Greatest Common Factor (GCF) of 1031,9607 By Common Division

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

Greatest Common Factor of 1031,9607 By Matching Biggest Common Factor Method

Greatest Common Factor of 1031,9607 By Matching Biggest Common Factor Method

Now, list down the factors of 1031

:

1,1031

Now, list down the factors of 9607

:

1,13,739,9607

Greatest Common Factor

We found the factors 1031,9607 . The biggest common factor number is the GCF number.
So the greatest common factor 1031,9607 is 1.

Lets's calculate LCM of 589,9708

Lowest Common Multiple of 589,9708 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5718012

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5718012

Therefore, the GCF of Fractions 1031/589,9607/9708 is 1/5718012

Least Common Multiple of 589,9708 with GCF Formula

Least Common Multiple of 589,9708 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 589,9708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(589,9708) = 1

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

GCF(589,9708) x common factors =1 x 1 = 1

LCM(589,9708) = ( 589 × 9708 ) / 1

LCM(589,9708) = 5718012 / 1

LCM(589,9708) = 5718012


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1031/589, 9607/9708

1. What is the HCF of 1031,9607?

The HCF of 1031,9607 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 1031/589, 9607/9708?

Answer: GCF of Numerators as per given numbers 1031/589, 9607/9708 is

GCF of Numerators i.e. for 1031,9607 is 1

LCM of denominators i.e. for 589,9708 is 5718012.

Thus, GCF of Fractions is 1/5718012.Finally, GCF of Fractions for 1031/589, 9607/9708 is 1/5718012.