Use our free GCF of Fractions Calculator tool to compute the GCF of 90/506, 50/449, 122/692 i.e 2/78609124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 90/506, 50/449, 122/692.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 90/506,50/449,122/692
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 90/506,50/449,122/692, numerators are 90,50,122
Denominators are 506,449,692
The GCF of 90,50,122 is 2 .
LCM of 506,449,692 is 78609124.
The greatest common factor of 90/506,50/449,122/692 = [GCF of 90,50,122]/[LCM of 506,449,692]= 2/78609124
Therefore, the GCF of 90/506,50/449,122/692 is 2/78609124.
To find the highest common factor of 90,50,122, we have to find the factors of both numbers and list the highest common factor.
The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
The factors of 50 are 1, 2, 5, 10, 25, 50
The factors of 122 are 1, 2, 61, 122
The HCF of 90,50,122 is 2.
Lets's calculate GCF of 90,50,122
2 | 90, 50, 122 |
45, 25, 61 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 90
:1,2,3,5,6,9,10,15,18,30,45,90
Now, list down the factors of 50
:1,2,5,10,25,50
Now, list down the factors of 122
:1,2,61,122
Greatest Common Factor
We found the factors 90,50,122 . The biggest common factor number is the GCF number.
So the greatest common factor 90,50,122 is 2.
Lets's calculate LCM of 506,449,692
2 | 506, 449, 692 |
253, 449, 346 |
∴ So the LCM of the given numbers is 2 x 253 x 449 x 346 = 78609124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/78609124
Therefore, the GCF of Fractions 90/506,50/449,122/692 is 2/78609124
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 506,449,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,449,692) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(506,449,692) x common factors =1 x 2 = 2
LCM(506,449,692) = ( 506 × 449 × 692 ) / 2
LCM(506,449,692) = 157218248 / 2
LCM(506,449,692) = 78609124
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 90,50,122?
The HCF of 90,50,122 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 90/506, 50/449, 122/692?
Answer: GCF of Numerators as per given numbers 90/506, 50/449, 122/692 is
GCF of Numerators i.e. for 90,50,122 is 2
LCM of denominators i.e. for 506,449,692 is 78609124.
Thus, GCF of Fractions is 2/78609124.Finally, GCF of Fractions for 90/506, 50/449, 122/692 is 2/78609124.