GCF of 804/10, 737/7344
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 804/10, 737/7344 i.e 67/36720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 804/10, 737/7344.
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 804/10,737/7344?
Given fractions are 804/10,737/7344
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 804/10,737/7344, numerators are 804,737
Denominators are 10,7344
The GCF of 804,737 is 67 .
LCM of 10,7344 is 36720.
The greatest common factor of 804/10,737/7344 = [GCF of 804,737]/[LCM of 10,7344]= 67/36720
Therefore, the GCF of 804/10,737/7344 is 67/36720.
To find the highest common factor of 804,737, we have to find the factors of both numbers and list the highest common factor.
The factors of 804 are 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
The factors of 737 are 1, 11, 67, 737
The HCF of 804,737 is 67.
Lets's calculate GCF of 804,737
| 67 | 804, 737 |
| 12, 11 |
∴ So the GCF of the given numbers is 67 = 67
Greatest Common Factor of 804,737 By Matching Biggest Common Factor Method
Now, list down the factors of 804
:1,2,3,4,6,12,67,134,201,268,402,804
Now, list down the factors of 737
:1,11,67,737
Greatest Common Factor
We found the factors 804,737 . The biggest common factor number is the GCF number.
So the greatest common factor 804,737 is 67.
Lets's calculate LCM of 10,7344
| 2 | 10, 7344 |
| 5, 3672 |
∴ So the LCM of the given numbers is 2 x 5 x 3672 = 36720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 67/36720
Therefore, the GCF of Fractions 804/10,737/7344 is 67/36720
Least Common Multiple of 10,7344 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 10,7344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,7344) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(10,7344) x common factors =2 x 1 = 2
LCM(10,7344) = ( 10 × 7344 ) / 2
LCM(10,7344) = 73440 / 2
LCM(10,7344) = 36720
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 804/10, 737/7344
1. What is the HCF of 804,737?
The HCF of 804,737 is 67
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 804/10, 737/7344?
Answer: GCF of Numerators as per given numbers 804/10, 737/7344 is
GCF of Numerators i.e. for 804,737 is 67
LCM of denominators i.e. for 10,7344 is 36720.
Thus, GCF of Fractions is 67/36720.Finally, GCF of Fractions for 804/10, 737/7344 is 67/36720.