Use our free GCF of Fractions Calculator tool to compute the GCF of 704/89, 961/432 i.e 1/38448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 704/89, 961/432.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 704/89,961/432
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 704/89,961/432, numerators are 704,961
Denominators are 89,432
The GCF of 704,961 is 1 .
LCM of 89,432 is 38448.
The greatest common factor of 704/89,961/432 = [GCF of 704,961]/[LCM of 89,432]= 1/38448
Therefore, the GCF of 704/89,961/432 is 1/38448.
To find the highest common factor of 704,961, we have to find the factors of both numbers and list the highest common factor.
The factors of 704 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
The factors of 961 are 1, 31, 961
The HCF of 704,961 is 1.
Lets's calculate GCF of 704,961
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 704
:1,2,4,8,11,16,22,32,44,64,88,176,352,704
Now, list down the factors of 961
:1,31,961
Greatest Common Factor
We found the factors 704,961 . The biggest common factor number is the GCF number.
So the greatest common factor 704,961 is 1.
Lets's calculate LCM of 89,432
Given numbers has no common factors except 1. So, there LCM is their product i.e 38448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38448
Therefore, the GCF of Fractions 704/89,961/432 is 1/38448
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 89,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,432) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,432) x common factors =1 x 1 = 1
LCM(89,432) = ( 89 × 432 ) / 1
LCM(89,432) = 38448 / 1
LCM(89,432) = 38448
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 704,961?
The HCF of 704,961 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 704/89, 961/432?
Answer: GCF of Numerators as per given numbers 704/89, 961/432 is
GCF of Numerators i.e. for 704,961 is 1
LCM of denominators i.e. for 89,432 is 38448.
Thus, GCF of Fractions is 1/38448.Finally, GCF of Fractions for 704/89, 961/432 is 1/38448.