GCF of 837/620, 806/472
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 837/620, 806/472 i.e 31/73160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 837/620, 806/472.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 837/620,806/472?
Given fractions are 837/620,806/472
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 837/620,806/472, numerators are 837,806
Denominators are 620,472
The GCF of 837,806 is 31 .
LCM of 620,472 is 73160.
The greatest common factor of 837/620,806/472 = [GCF of 837,806]/[LCM of 620,472]= 31/73160
Therefore, the GCF of 837/620,806/472 is 31/73160.
To find the highest common factor of 837,806, we have to find the factors of both numbers and list the highest common factor.
The factors of 837 are 1, 3, 9, 27, 31, 93, 279, 837
The factors of 806 are 1, 2, 13, 26, 31, 62, 403, 806
The HCF of 837,806 is 31.
Lets's calculate GCF of 837,806
| 31 | 837, 806 |
| 27, 26 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 837,806 By Matching Biggest Common Factor Method
Now, list down the factors of 837
:1,3,9,27,31,93,279,837
Now, list down the factors of 806
:1,2,13,26,31,62,403,806
Greatest Common Factor
We found the factors 837,806 . The biggest common factor number is the GCF number.
So the greatest common factor 837,806 is 31.
Lets's calculate LCM of 620,472
| 2 | 620, 472 |
| 2 | 310, 236 |
| 155, 118 |
∴ So the LCM of the given numbers is 2 x 2 x 155 x 118 = 73160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/73160
Therefore, the GCF of Fractions 837/620,806/472 is 31/73160
Least Common Multiple of 620,472 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 620,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,472) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(620,472) x common factors =4 x 1 = 4
LCM(620,472) = ( 620 × 472 ) / 4
LCM(620,472) = 292640 / 4
LCM(620,472) = 73160
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 837/620, 806/472
1. What is the HCF of 837,806?
The HCF of 837,806 is 31
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 837/620, 806/472?
Answer: GCF of Numerators as per given numbers 837/620, 806/472 is
GCF of Numerators i.e. for 837,806 is 31
LCM of denominators i.e. for 620,472 is 73160.
Thus, GCF of Fractions is 31/73160.Finally, GCF of Fractions for 837/620, 806/472 is 31/73160.