GCF of 942/559, 8728/4328
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 942/559, 8728/4328 i.e 2/2419352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 942/559, 8728/4328.
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 942/559,8728/4328?
Given fractions are 942/559,8728/4328
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 942/559,8728/4328, numerators are 942,8728
Denominators are 559,4328
The GCF of 942,8728 is 2 .
LCM of 559,4328 is 2419352.
The greatest common factor of 942/559,8728/4328 = [GCF of 942,8728]/[LCM of 559,4328]= 2/2419352
Therefore, the GCF of 942/559,8728/4328 is 2/2419352.
To find the highest common factor of 942,8728, we have to find the factors of both numbers and list the highest common factor.
The factors of 942 are 1, 2, 3, 6, 157, 314, 471, 942
The factors of 8728 are 1, 2, 4, 8, 1091, 2182, 4364, 8728
The HCF of 942,8728 is 2.
Lets's calculate GCF of 942,8728
| 2 | 942, 8728 |
| 471, 4364 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 942,8728 By Matching Biggest Common Factor Method
Now, list down the factors of 942
:1,2,3,6,157,314,471,942
Now, list down the factors of 8728
:1,2,4,8,1091,2182,4364,8728
Greatest Common Factor
We found the factors 942,8728 . The biggest common factor number is the GCF number.
So the greatest common factor 942,8728 is 2.
Lets's calculate LCM of 559,4328
Given numbers has no common factors except 1. So, there LCM is their product i.e 2419352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2419352
Therefore, the GCF of Fractions 942/559,8728/4328 is 2/2419352
Least Common Multiple of 559,4328 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 559,4328 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(559,4328) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(559,4328) x common factors =1 x 1 = 1
LCM(559,4328) = ( 559 × 4328 ) / 1
LCM(559,4328) = 2419352 / 1
LCM(559,4328) = 2419352
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 942/559, 8728/4328
1. What is the HCF of 942,8728?
The HCF of 942,8728 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 942/559, 8728/4328?
Answer: GCF of Numerators as per given numbers 942/559, 8728/4328 is
GCF of Numerators i.e. for 942,8728 is 2
LCM of denominators i.e. for 559,4328 is 2419352.
Thus, GCF of Fractions is 2/2419352.Finally, GCF of Fractions for 942/559, 8728/4328 is 2/2419352.