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 687/783, 1597/9983

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 687/783, 1597/9983 i.e 1/7816689 easily. The following is the detailed procedure to determine the greatest common factor of fractions 687/783, 1597/9983.

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 687/783,1597/9983?

Given fractions are 687/783,1597/9983

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 687/783,1597/9983, numerators are 687,1597

Denominators are 783,9983

The GCF of 687,1597 is 1 .

LCM of 783,9983 is 7816689.

The greatest common factor of 687/783,1597/9983 = [GCF of 687,1597]/[LCM of 783,9983]= 1/7816689

Therefore, the GCF of 687/783,1597/9983 is 1/7816689.

Greatest Common Factor of 687,1597

To find the highest common factor of 687,1597, we have to find the factors of both numbers and list the highest common factor.

The factors of 687 are 1, 3, 229, 687

The factors of 1597 are 1, 1597

The HCF of 687,1597 is 1.

Lets's calculate GCF of 687,1597

Greatest Common Factor (GCF) of 687,1597 By Common Division

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

Greatest Common Factor of 687,1597 By Matching Biggest Common Factor Method

Greatest Common Factor of 687,1597 By Matching Biggest Common Factor Method

Now, list down the factors of 687

:

1,3,229,687

Now, list down the factors of 1597

:

1,1597

Greatest Common Factor

We found the factors 687,1597 . The biggest common factor number is the GCF number.
So the greatest common factor 687,1597 is 1.

Lets's calculate LCM of 783,9983

Lowest Common Multiple of 783,9983 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7816689

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7816689

Therefore, the GCF of Fractions 687/783,1597/9983 is 1/7816689

Least Common Multiple of 783,9983 with GCF Formula

Least Common Multiple of 783,9983 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 783,9983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(783,9983) = 1

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

GCF(783,9983) x common factors =1 x 1 = 1

LCM(783,9983) = ( 783 × 9983 ) / 1

LCM(783,9983) = 7816689 / 1

LCM(783,9983) = 7816689


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 687/783, 1597/9983

1. What is the HCF of 687,1597?

The HCF of 687,1597 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 687/783, 1597/9983?

Answer: GCF of Numerators as per given numbers 687/783, 1597/9983 is

GCF of Numerators i.e. for 687,1597 is 1

LCM of denominators i.e. for 783,9983 is 7816689.

Thus, GCF of Fractions is 1/7816689.Finally, GCF of Fractions for 687/783, 1597/9983 is 1/7816689.