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 721/689, 982/687

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 721/689, 982/687 i.e 1/473343 easily. The following is the detailed procedure to determine the greatest common factor of fractions 721/689, 982/687.

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 721/689,982/687?

Given fractions are 721/689,982/687

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 721/689,982/687, numerators are 721,982

Denominators are 689,687

The GCF of 721,982 is 1 .

LCM of 689,687 is 473343.

The greatest common factor of 721/689,982/687 = [GCF of 721,982]/[LCM of 689,687]= 1/473343

Therefore, the GCF of 721/689,982/687 is 1/473343.

Greatest Common Factor of 721,982

To find the highest common factor of 721,982, we have to find the factors of both numbers and list the highest common factor.

The factors of 721 are 1, 7, 103, 721

The factors of 982 are 1, 2, 491, 982

The HCF of 721,982 is 1.

Lets's calculate GCF of 721,982

Greatest Common Factor (GCF) of 721,982 By Common Division

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

Greatest Common Factor of 721,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 721,982 By Matching Biggest Common Factor Method

Now, list down the factors of 721

:

1,7,103,721

Now, list down the factors of 982

:

1,2,491,982

Greatest Common Factor

We found the factors 721,982 . The biggest common factor number is the GCF number.
So the greatest common factor 721,982 is 1.


Lets's calculate LCM of 689,687

Lowest Common Multiple of 689,687 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 473343

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/473343

Therefore, the GCF of Fractions 721/689,982/687 is 1/473343

Least Common Multiple of 689,687 with GCF Formula

Least Common Multiple of 689,687 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 689,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,687) = 1

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

GCF(689,687) x common factors =1 x 1 = 1

LCM(689,687) = ( 689 × 687 ) / 1

LCM(689,687) = 473343 / 1

LCM(689,687) = 473343


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 721/689, 982/687

1. What is the HCF of 721,982?

The HCF of 721,982 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 721/689, 982/687?

Answer: GCF of Numerators as per given numbers 721/689, 982/687 is

GCF of Numerators i.e. for 721,982 is 1

LCM of denominators i.e. for 689,687 is 473343.

Thus, GCF of Fractions is 1/473343.Finally, GCF of Fractions for 721/689, 982/687 is 1/473343.