Use our free GCF of Fractions Calculator tool to compute the GCF of 731/979, 421/264 i.e 1/23496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 731/979, 421/264.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 731/979,421/264
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 731/979,421/264, numerators are 731,421
Denominators are 979,264
The GCF of 731,421 is 1 .
LCM of 979,264 is 23496.
The greatest common factor of 731/979,421/264 = [GCF of 731,421]/[LCM of 979,264]= 1/23496
Therefore, the GCF of 731/979,421/264 is 1/23496.
To find the highest common factor of 731,421, we have to find the factors of both numbers and list the highest common factor.
The factors of 731 are 1, 17, 43, 731
The factors of 421 are 1, 421
The HCF of 731,421 is 1.
Lets's calculate GCF of 731,421
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 731
:1,17,43,731
Now, list down the factors of 421
:1,421
Greatest Common Factor
We found the factors 731,421 . The biggest common factor number is the GCF number.
So the greatest common factor 731,421 is 1.
Lets's calculate LCM of 979,264
11 | 979, 264 |
89, 24 |
∴ So the LCM of the given numbers is 11 x 89 x 24 = 23496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23496
Therefore, the GCF of Fractions 731/979,421/264 is 1/23496
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 979,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(979,264) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(979,264) x common factors =11 x 1 = 11
LCM(979,264) = ( 979 × 264 ) / 11
LCM(979,264) = 258456 / 11
LCM(979,264) = 23496
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 731,421?
The HCF of 731,421 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 731/979, 421/264?
Answer: GCF of Numerators as per given numbers 731/979, 421/264 is
GCF of Numerators i.e. for 731,421 is 1
LCM of denominators i.e. for 979,264 is 23496.
Thus, GCF of Fractions is 1/23496.Finally, GCF of Fractions for 731/979, 421/264 is 1/23496.