Use our free GCF of Fractions Calculator tool to compute the GCF of 463/976, 126/412 i.e 1/100528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 463/976, 126/412.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 463/976,126/412
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 463/976,126/412, numerators are 463,126
Denominators are 976,412
The GCF of 463,126 is 1 .
LCM of 976,412 is 100528.
The greatest common factor of 463/976,126/412 = [GCF of 463,126]/[LCM of 976,412]= 1/100528
Therefore, the GCF of 463/976,126/412 is 1/100528.
To find the highest common factor of 463,126, we have to find the factors of both numbers and list the highest common factor.
The factors of 463 are 1, 463
The factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
The HCF of 463,126 is 1.
Lets's calculate GCF of 463,126
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 463
:1,463
Now, list down the factors of 126
:1,2,3,6,7,9,14,18,21,42,63,126
Greatest Common Factor
We found the factors 463,126 . The biggest common factor number is the GCF number.
So the greatest common factor 463,126 is 1.
Lets's calculate LCM of 976,412
2 | 976, 412 |
2 | 488, 206 |
244, 103 |
∴ So the LCM of the given numbers is 2 x 2 x 244 x 103 = 100528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100528
Therefore, the GCF of Fractions 463/976,126/412 is 1/100528
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 976,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,412) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(976,412) x common factors =4 x 1 = 4
LCM(976,412) = ( 976 × 412 ) / 4
LCM(976,412) = 402112 / 4
LCM(976,412) = 100528
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 463,126?
The HCF of 463,126 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 463/976, 126/412?
Answer: GCF of Numerators as per given numbers 463/976, 126/412 is
GCF of Numerators i.e. for 463,126 is 1
LCM of denominators i.e. for 976,412 is 100528.
Thus, GCF of Fractions is 1/100528.Finally, GCF of Fractions for 463/976, 126/412 is 1/100528.