Use our free GCF of Fractions Calculator tool to compute the GCF of 476/746, 234/406 i.e 2/151438 easily. The following is the detailed procedure to determine the greatest common factor of fractions 476/746, 234/406.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 476/746,234/406
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 476/746,234/406, numerators are 476,234
Denominators are 746,406
The GCF of 476,234 is 2 .
LCM of 746,406 is 151438.
The greatest common factor of 476/746,234/406 = [GCF of 476,234]/[LCM of 746,406]= 2/151438
Therefore, the GCF of 476/746,234/406 is 2/151438.
To find the highest common factor of 476,234, we have to find the factors of both numbers and list the highest common factor.
The factors of 476 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
The factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
The HCF of 476,234 is 2.
Lets's calculate GCF of 476,234
2 | 476, 234 |
238, 117 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 476
:1,2,4,7,14,17,28,34,68,119,238,476
Now, list down the factors of 234
:1,2,3,6,9,13,18,26,39,78,117,234
Greatest Common Factor
We found the factors 476,234 . The biggest common factor number is the GCF number.
So the greatest common factor 476,234 is 2.
Lets's calculate LCM of 746,406
2 | 746, 406 |
373, 203 |
∴ So the LCM of the given numbers is 2 x 373 x 203 = 151438
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/151438
Therefore, the GCF of Fractions 476/746,234/406 is 2/151438
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 746,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,406) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(746,406) x common factors =2 x 1 = 2
LCM(746,406) = ( 746 × 406 ) / 2
LCM(746,406) = 302876 / 2
LCM(746,406) = 151438
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 476,234?
The HCF of 476,234 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 476/746, 234/406?
Answer: GCF of Numerators as per given numbers 476/746, 234/406 is
GCF of Numerators i.e. for 476,234 is 2
LCM of denominators i.e. for 746,406 is 151438.
Thus, GCF of Fractions is 2/151438.Finally, GCF of Fractions for 476/746, 234/406 is 2/151438.