Use our free GCF of Fractions Calculator tool to compute the GCF of 22/69, 967/90, 228/159 i.e 1/109710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/69, 967/90, 228/159.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 22/69,967/90,228/159
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 22/69,967/90,228/159, numerators are 22,967,228
Denominators are 69,90,159
The GCF of 22,967,228 is 1 .
LCM of 69,90,159 is 109710.
The greatest common factor of 22/69,967/90,228/159 = [GCF of 22,967,228]/[LCM of 69,90,159]= 1/109710
Therefore, the GCF of 22/69,967/90,228/159 is 1/109710.
To find the highest common factor of 22,967,228, 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 967 are 1, 967
The factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
The HCF of 22,967,228 is 1.
Lets's calculate GCF of 22,967,228
∴ 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 967
:1,967
Now, list down the factors of 228
:1,2,3,4,6,12,19,38,57,76,114,228
Greatest Common Factor
We found the factors 22,967,228 . The biggest common factor number is the GCF number.
So the greatest common factor 22,967,228 is 1.
Lets's calculate LCM of 69,90,159
3 | 69, 90, 159 |
23, 30, 53 |
∴ So the LCM of the given numbers is 3 x 23 x 30 x 53 = 109710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109710
Therefore, the GCF of Fractions 22/69,967/90,228/159 is 1/109710
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 69,90,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,90,159) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(69,90,159) x common factors =3 x 3 = 9
LCM(69,90,159) = ( 69 × 90 × 159 ) / 9
LCM(69,90,159) = 987390 / 9
LCM(69,90,159) = 109710
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 22,967,228?
The HCF of 22,967,228 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 22/69, 967/90, 228/159?
Answer: GCF of Numerators as per given numbers 22/69, 967/90, 228/159 is
GCF of Numerators i.e. for 22,967,228 is 1
LCM of denominators i.e. for 69,90,159 is 109710.
Thus, GCF of Fractions is 1/109710.Finally, GCF of Fractions for 22/69, 967/90, 228/159 is 1/109710.