Use our free GCF of Fractions Calculator tool to compute the GCF of 635/222, 504/159 i.e 1/11766 easily. The following is the detailed procedure to determine the greatest common factor of fractions 635/222, 504/159.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 635/222,504/159
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 635/222,504/159, numerators are 635,504
Denominators are 222,159
The GCF of 635,504 is 1 .
LCM of 222,159 is 11766.
The greatest common factor of 635/222,504/159 = [GCF of 635,504]/[LCM of 222,159]= 1/11766
Therefore, the GCF of 635/222,504/159 is 1/11766.
To find the highest common factor of 635,504, we have to find the factors of both numbers and list the highest common factor.
The factors of 635 are 1, 5, 127, 635
The factors of 504 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
The HCF of 635,504 is 1.
Lets's calculate GCF of 635,504
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 635
:1,5,127,635
Now, list down the factors of 504
:1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504
Greatest Common Factor
We found the factors 635,504 . The biggest common factor number is the GCF number.
So the greatest common factor 635,504 is 1.
Lets's calculate LCM of 222,159
3 | 222, 159 |
74, 53 |
∴ So the LCM of the given numbers is 3 x 74 x 53 = 11766
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11766
Therefore, the GCF of Fractions 635/222,504/159 is 1/11766
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 222,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(222,159) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(222,159) x common factors =3 x 1 = 3
LCM(222,159) = ( 222 × 159 ) / 3
LCM(222,159) = 35298 / 3
LCM(222,159) = 11766
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 635,504?
The HCF of 635,504 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 635/222, 504/159?
Answer: GCF of Numerators as per given numbers 635/222, 504/159 is
GCF of Numerators i.e. for 635,504 is 1
LCM of denominators i.e. for 222,159 is 11766.
Thus, GCF of Fractions is 1/11766.Finally, GCF of Fractions for 635/222, 504/159 is 1/11766.