Use our free GCF of Fractions Calculator tool to compute the GCF of 415/924, 459/948 i.e 1/72996 easily. The following is the detailed procedure to determine the greatest common factor of fractions 415/924, 459/948.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 415/924,459/948
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 415/924,459/948, numerators are 415,459
Denominators are 924,948
The GCF of 415,459 is 1 .
LCM of 924,948 is 72996.
The greatest common factor of 415/924,459/948 = [GCF of 415,459]/[LCM of 924,948]= 1/72996
Therefore, the GCF of 415/924,459/948 is 1/72996.
To find the highest common factor of 415,459, we have to find the factors of both numbers and list the highest common factor.
The factors of 415 are 1, 5, 83, 415
The factors of 459 are 1, 3, 9, 17, 27, 51, 153, 459
The HCF of 415,459 is 1.
Lets's calculate GCF of 415,459
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 415
:1,5,83,415
Now, list down the factors of 459
:1,3,9,17,27,51,153,459
Greatest Common Factor
We found the factors 415,459 . The biggest common factor number is the GCF number.
So the greatest common factor 415,459 is 1.
Lets's calculate LCM of 924,948
2 | 924, 948 |
2 | 462, 474 |
3 | 231, 237 |
77, 79 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 77 x 79 = 72996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72996
Therefore, the GCF of Fractions 415/924,459/948 is 1/72996
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 924,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,948) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(924,948) x common factors =12 x 1 = 12
LCM(924,948) = ( 924 × 948 ) / 12
LCM(924,948) = 875952 / 12
LCM(924,948) = 72996
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 415,459?
The HCF of 415,459 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 415/924, 459/948?
Answer: GCF of Numerators as per given numbers 415/924, 459/948 is
GCF of Numerators i.e. for 415,459 is 1
LCM of denominators i.e. for 924,948 is 72996.
Thus, GCF of Fractions is 1/72996.Finally, GCF of Fractions for 415/924, 459/948 is 1/72996.