Use our free GCF of Fractions Calculator tool to compute the GCF of 952/417, 206/757 i.e 2/315669 easily. The following is the detailed procedure to determine the greatest common factor of fractions 952/417, 206/757.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 952/417,206/757
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 952/417,206/757, numerators are 952,206
Denominators are 417,757
The GCF of 952,206 is 2 .
LCM of 417,757 is 315669.
The greatest common factor of 952/417,206/757 = [GCF of 952,206]/[LCM of 417,757]= 2/315669
Therefore, the GCF of 952/417,206/757 is 2/315669.
To find the highest common factor of 952,206, 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 206 are 1, 2, 103, 206
The HCF of 952,206 is 2.
Lets's calculate GCF of 952,206
2 | 952, 206 |
476, 103 |
∴ So the GCF of the given numbers is 2 = 2
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 206
:1,2,103,206
Greatest Common Factor
We found the factors 952,206 . The biggest common factor number is the GCF number.
So the greatest common factor 952,206 is 2.
Lets's calculate LCM of 417,757
Given numbers has no common factors except 1. So, there LCM is their product i.e 315669
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/315669
Therefore, the GCF of Fractions 952/417,206/757 is 2/315669
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 417,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(417,757) x common factors =1 x 1 = 1
LCM(417,757) = ( 417 × 757 ) / 1
LCM(417,757) = 315669 / 1
LCM(417,757) = 315669
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 952,206?
The HCF of 952,206 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 952/417, 206/757?
Answer: GCF of Numerators as per given numbers 952/417, 206/757 is
GCF of Numerators i.e. for 952,206 is 2
LCM of denominators i.e. for 417,757 is 315669.
Thus, GCF of Fractions is 2/315669.Finally, GCF of Fractions for 952/417, 206/757 is 2/315669.