Use our free GCF of Fractions Calculator tool to compute the GCF of 22/13, 937/38, 177/366 i.e 1/90402 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/13, 937/38, 177/366.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 22/13,937/38,177/366
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 22/13,937/38,177/366, numerators are 22,937,177
Denominators are 13,38,366
The GCF of 22,937,177 is 1 .
LCM of 13,38,366 is 90402.
The greatest common factor of 22/13,937/38,177/366 = [GCF of 22,937,177]/[LCM of 13,38,366]= 1/90402
Therefore, the GCF of 22/13,937/38,177/366 is 1/90402.
To find the highest common factor of 22,937,177, we have to find the factors of both numbers and list the highest common factor.
The factors of 22 are 1, 2, 11, 22
The factors of 937 are 1, 937
The factors of 177 are 1, 3, 59, 177
The HCF of 22,937,177 is 1.
Lets's calculate GCF of 22,937,177
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 22
:1,2,11,22
Now, list down the factors of 937
:1,937
Now, list down the factors of 177
:1,3,59,177
Greatest Common Factor
We found the factors 22,937,177 . The biggest common factor number is the GCF number.
So the greatest common factor 22,937,177 is 1.
Lets's calculate LCM of 13,38,366
2 | 13, 38, 366 |
13, 19, 183 |
∴ So the LCM of the given numbers is 2 x 13 x 19 x 183 = 90402
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90402
Therefore, the GCF of Fractions 22/13,937/38,177/366 is 1/90402
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 13,38,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,38,366) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(13,38,366) x common factors =1 x 2 = 2
LCM(13,38,366) = ( 13 × 38 × 366 ) / 2
LCM(13,38,366) = 180804 / 2
LCM(13,38,366) = 90402
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 22,937,177?
The HCF of 22,937,177 is 1
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 22/13, 937/38, 177/366?
Answer: GCF of Numerators as per given numbers 22/13, 937/38, 177/366 is
GCF of Numerators i.e. for 22,937,177 is 1
LCM of denominators i.e. for 13,38,366 is 90402.
Thus, GCF of Fractions is 1/90402.Finally, GCF of Fractions for 22/13, 937/38, 177/366 is 1/90402.