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 809/26, 827/737

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 809/26, 827/737 i.e 1/19162 easily. The following is the detailed procedure to determine the greatest common factor of fractions 809/26, 827/737.

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 809/26,827/737?

Given fractions are 809/26,827/737

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 809/26,827/737, numerators are 809,827

Denominators are 26,737

The GCF of 809,827 is 1 .

LCM of 26,737 is 19162.

The greatest common factor of 809/26,827/737 = [GCF of 809,827]/[LCM of 26,737]= 1/19162

Therefore, the GCF of 809/26,827/737 is 1/19162.

Greatest Common Factor of 809,827

To find the highest common factor of 809,827, we have to find the factors of both numbers and list the highest common factor.

The factors of 809 are 1, 809

The factors of 827 are 1, 827

The HCF of 809,827 is 1.

Lets's calculate GCF of 809,827

Greatest Common Factor (GCF) of 809,827 By Common Division

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

Greatest Common Factor of 809,827 By Matching Biggest Common Factor Method

Greatest Common Factor of 809,827 By Matching Biggest Common Factor Method

Now, list down the factors of 809

:

1,809

Now, list down the factors of 827

:

1,827

Greatest Common Factor

We found the factors 809,827 . The biggest common factor number is the GCF number.
So the greatest common factor 809,827 is 1.

Lets's calculate LCM of 26,737

Lowest Common Multiple of 26,737 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 19162

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19162

Therefore, the GCF of Fractions 809/26,827/737 is 1/19162

Least Common Multiple of 26,737 with GCF Formula

Least Common Multiple of 26,737 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 26,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,737) = 1

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

GCF(26,737) x common factors =1 x 1 = 1

LCM(26,737) = ( 26 × 737 ) / 1

LCM(26,737) = 19162 / 1

LCM(26,737) = 19162


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 809/26, 827/737

1. What is the HCF of 809,827?

The HCF of 809,827 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 809/26, 827/737?

Answer: GCF of Numerators as per given numbers 809/26, 827/737 is

GCF of Numerators i.e. for 809,827 is 1

LCM of denominators i.e. for 26,737 is 19162.

Thus, GCF of Fractions is 1/19162.Finally, GCF of Fractions for 809/26, 827/737 is 1/19162.