Use our free GCF of Fractions Calculator tool to compute the GCF of 913/786, 283/122 i.e 1/47946 easily. The following is the detailed procedure to determine the greatest common factor of fractions 913/786, 283/122.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 913/786,283/122
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 913/786,283/122, numerators are 913,283
Denominators are 786,122
The GCF of 913,283 is 1 .
LCM of 786,122 is 47946.
The greatest common factor of 913/786,283/122 = [GCF of 913,283]/[LCM of 786,122]= 1/47946
Therefore, the GCF of 913/786,283/122 is 1/47946.
To find the highest common factor of 913,283, we have to find the factors of both numbers and list the highest common factor.
The factors of 913 are 1, 11, 83, 913
The factors of 283 are 1, 283
The HCF of 913,283 is 1.
Lets's calculate GCF of 913,283
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 913
:1,11,83,913
Now, list down the factors of 283
:1,283
Greatest Common Factor
We found the factors 913,283 . The biggest common factor number is the GCF number.
So the greatest common factor 913,283 is 1.
Lets's calculate LCM of 786,122
2 | 786, 122 |
393, 61 |
∴ So the LCM of the given numbers is 2 x 393 x 61 = 47946
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47946
Therefore, the GCF of Fractions 913/786,283/122 is 1/47946
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 786,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,122) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(786,122) x common factors =2 x 1 = 2
LCM(786,122) = ( 786 × 122 ) / 2
LCM(786,122) = 95892 / 2
LCM(786,122) = 47946
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 913,283?
The HCF of 913,283 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 913/786, 283/122?
Answer: GCF of Numerators as per given numbers 913/786, 283/122 is
GCF of Numerators i.e. for 913,283 is 1
LCM of denominators i.e. for 786,122 is 47946.
Thus, GCF of Fractions is 1/47946.Finally, GCF of Fractions for 913/786, 283/122 is 1/47946.