GCF of 804/659, 116/507
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 804/659, 116/507 i.e 4/334113 easily. The following is the detailed procedure to determine the greatest common factor of fractions 804/659, 116/507.
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 804/659,116/507?
Given fractions are 804/659,116/507
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 804/659,116/507, numerators are 804,116
Denominators are 659,507
The GCF of 804,116 is 4 .
LCM of 659,507 is 334113.
The greatest common factor of 804/659,116/507 = [GCF of 804,116]/[LCM of 659,507]= 4/334113
Therefore, the GCF of 804/659,116/507 is 4/334113.
To find the highest common factor of 804,116, 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 116 are 1, 2, 4, 29, 58, 116
The HCF of 804,116 is 4.
Lets's calculate GCF of 804,116
| 2 | 804, 116 |
| 2 | 402, 58 |
| 201, 29 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 804,116 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 116
:1,2,4,29,58,116
Greatest Common Factor
We found the factors 804,116 . The biggest common factor number is the GCF number.
So the greatest common factor 804,116 is 4.
Lets's calculate LCM of 659,507
Given numbers has no common factors except 1. So, there LCM is their product i.e 334113
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/334113
Therefore, the GCF of Fractions 804/659,116/507 is 4/334113
Least Common Multiple of 659,507 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 659,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(659,507) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(659,507) x common factors =1 x 1 = 1
LCM(659,507) = ( 659 × 507 ) / 1
LCM(659,507) = 334113 / 1
LCM(659,507) = 334113
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 804/659, 116/507
1. What is the HCF of 804,116?
The HCF of 804,116 is 4
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 804/659, 116/507?
Answer: GCF of Numerators as per given numbers 804/659, 116/507 is
GCF of Numerators i.e. for 804,116 is 4
LCM of denominators i.e. for 659,507 is 334113.
Thus, GCF of Fractions is 4/334113.Finally, GCF of Fractions for 804/659, 116/507 is 4/334113.