Use our free GCF of Fractions Calculator tool to compute the GCF of 222/183, 992/476 i.e 2/87108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 222/183, 992/476.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 222/183,992/476
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 222/183,992/476, numerators are 222,992
Denominators are 183,476
The GCF of 222,992 is 2 .
LCM of 183,476 is 87108.
The greatest common factor of 222/183,992/476 = [GCF of 222,992]/[LCM of 183,476]= 2/87108
Therefore, the GCF of 222/183,992/476 is 2/87108.
To find the highest common factor of 222,992, we have to find the factors of both numbers and list the highest common factor.
The factors of 222 are 1, 2, 3, 6, 37, 74, 111, 222
The factors of 992 are 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
The HCF of 222,992 is 2.
Lets's calculate GCF of 222,992
2 | 222, 992 |
111, 496 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 222
:1,2,3,6,37,74,111,222
Now, list down the factors of 992
:1,2,4,8,16,31,32,62,124,248,496,992
Greatest Common Factor
We found the factors 222,992 . The biggest common factor number is the GCF number.
So the greatest common factor 222,992 is 2.
Lets's calculate LCM of 183,476
Given numbers has no common factors except 1. So, there LCM is their product i.e 87108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/87108
Therefore, the GCF of Fractions 222/183,992/476 is 2/87108
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 183,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(183,476) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(183,476) x common factors =1 x 1 = 1
LCM(183,476) = ( 183 × 476 ) / 1
LCM(183,476) = 87108 / 1
LCM(183,476) = 87108
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 222,992?
The HCF of 222,992 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 222/183, 992/476?
Answer: GCF of Numerators as per given numbers 222/183, 992/476 is
GCF of Numerators i.e. for 222,992 is 2
LCM of denominators i.e. for 183,476 is 87108.
Thus, GCF of Fractions is 2/87108.Finally, GCF of Fractions for 222/183, 992/476 is 2/87108.