Use our free GCF of Fractions Calculator tool to compute the GCF of 952/558, 327/242 i.e 1/67518 easily. The following is the detailed procedure to determine the greatest common factor of fractions 952/558, 327/242.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 952/558,327/242
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 952/558,327/242, numerators are 952,327
Denominators are 558,242
The GCF of 952,327 is 1 .
LCM of 558,242 is 67518.
The greatest common factor of 952/558,327/242 = [GCF of 952,327]/[LCM of 558,242]= 1/67518
Therefore, the GCF of 952/558,327/242 is 1/67518.
To find the highest common factor of 952,327, we have to find the factors of both numbers and list the highest common factor.
The factors of 952 are 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
The factors of 327 are 1, 3, 109, 327
The HCF of 952,327 is 1.
Lets's calculate GCF of 952,327
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 952
:1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Now, list down the factors of 327
:1,3,109,327
Greatest Common Factor
We found the factors 952,327 . The biggest common factor number is the GCF number.
So the greatest common factor 952,327 is 1.
Lets's calculate LCM of 558,242
2 | 558, 242 |
279, 121 |
∴ So the LCM of the given numbers is 2 x 279 x 121 = 67518
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67518
Therefore, the GCF of Fractions 952/558,327/242 is 1/67518
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 558,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,242) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(558,242) x common factors =2 x 1 = 2
LCM(558,242) = ( 558 × 242 ) / 2
LCM(558,242) = 135036 / 2
LCM(558,242) = 67518
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 952,327?
The HCF of 952,327 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 952/558, 327/242?
Answer: GCF of Numerators as per given numbers 952/558, 327/242 is
GCF of Numerators i.e. for 952,327 is 1
LCM of denominators i.e. for 558,242 is 67518.
Thus, GCF of Fractions is 1/67518.Finally, GCF of Fractions for 952/558, 327/242 is 1/67518.