GCF of 4422/950, 6692/369
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4422/950, 6692/369 i.e 2/350550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4422/950, 6692/369.
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 4422/950,6692/369?
Given fractions are 4422/950,6692/369
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 4422/950,6692/369, numerators are 4422,6692
Denominators are 950,369
The GCF of 4422,6692 is 2 .
LCM of 950,369 is 350550.
The greatest common factor of 4422/950,6692/369 = [GCF of 4422,6692]/[LCM of 950,369]= 2/350550
Therefore, the GCF of 4422/950,6692/369 is 2/350550.
To find the highest common factor of 4422,6692, we have to find the factors of both numbers and list the highest common factor.
The factors of 4422 are 1, 2, 3, 6, 11, 22, 33, 66, 67, 134, 201, 402, 737, 1474, 2211, 4422
The factors of 6692 are 1, 2, 4, 7, 14, 28, 239, 478, 956, 1673, 3346, 6692
The HCF of 4422,6692 is 2.
Lets's calculate GCF of 4422,6692
| 2 | 4422, 6692 |
| 2211, 3346 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4422,6692 By Matching Biggest Common Factor Method
Now, list down the factors of 4422
:1,2,3,6,11,22,33,66,67,134,201,402,737,1474,2211,4422
Now, list down the factors of 6692
:1,2,4,7,14,28,239,478,956,1673,3346,6692
Greatest Common Factor
We found the factors 4422,6692 . The biggest common factor number is the GCF number.
So the greatest common factor 4422,6692 is 2.
Lets's calculate LCM of 950,369
Given numbers has no common factors except 1. So, there LCM is their product i.e 350550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/350550
Therefore, the GCF of Fractions 4422/950,6692/369 is 2/350550
Least Common Multiple of 950,369 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 950,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(950,369) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(950,369) x common factors =1 x 1 = 1
LCM(950,369) = ( 950 × 369 ) / 1
LCM(950,369) = 350550 / 1
LCM(950,369) = 350550
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4422/950, 6692/369
1. What is the HCF of 4422,6692?
The HCF of 4422,6692 is 2
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 4422/950, 6692/369?
Answer: GCF of Numerators as per given numbers 4422/950, 6692/369 is
GCF of Numerators i.e. for 4422,6692 is 2
LCM of denominators i.e. for 950,369 is 350550.
Thus, GCF of Fractions is 2/350550.Finally, GCF of Fractions for 4422/950, 6692/369 is 2/350550.