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 845/766, 1005/821

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 845/766, 1005/821 i.e 5/628886 easily. The following is the detailed procedure to determine the greatest common factor of fractions 845/766, 1005/821.

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 845/766,1005/821?

Given fractions are 845/766,1005/821

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 845/766,1005/821, numerators are 845,1005

Denominators are 766,821

The GCF of 845,1005 is 5 .

LCM of 766,821 is 628886.

The greatest common factor of 845/766,1005/821 = [GCF of 845,1005]/[LCM of 766,821]= 5/628886

Therefore, the GCF of 845/766,1005/821 is 5/628886.

Greatest Common Factor of 845,1005

To find the highest common factor of 845,1005, we have to find the factors of both numbers and list the highest common factor.

The factors of 845 are 1, 5, 13, 65, 169, 845

The factors of 1005 are 1, 3, 5, 15, 67, 201, 335, 1005

The HCF of 845,1005 is 5.

Lets's calculate GCF of 845,1005

Greatest Common Factor (GCF) of 845,1005 By Common Division

5 845, 1005
169, 201

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 845,1005 By Matching Biggest Common Factor Method

Greatest Common Factor of 845,1005 By Matching Biggest Common Factor Method

Now, list down the factors of 845

:

1,5,13,65,169,845

Now, list down the factors of 1005

:

1,3,5,15,67,201,335,1005

Greatest Common Factor

We found the factors 845,1005 . The biggest common factor number is the GCF number.
So the greatest common factor 845,1005 is 5.

Lets's calculate LCM of 766,821

Lowest Common Multiple of 766,821 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 628886

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/628886

Therefore, the GCF of Fractions 845/766,1005/821 is 5/628886

Least Common Multiple of 766,821 with GCF Formula

Least Common Multiple of 766,821 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 766,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,821) = 1

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

GCF(766,821) x common factors =1 x 1 = 1

LCM(766,821) = ( 766 × 821 ) / 1

LCM(766,821) = 628886 / 1

LCM(766,821) = 628886


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 845/766, 1005/821

1. What is the HCF of 845,1005?

The HCF of 845,1005 is 5

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 845/766, 1005/821?

Answer: GCF of Numerators as per given numbers 845/766, 1005/821 is

GCF of Numerators i.e. for 845,1005 is 5

LCM of denominators i.e. for 766,821 is 628886.

Thus, GCF of Fractions is 5/628886.Finally, GCF of Fractions for 845/766, 1005/821 is 5/628886.