Use our free GCF of Fractions Calculator tool to compute the GCF of 391/784, 961/436 i.e 1/85456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 391/784, 961/436.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 391/784,961/436
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 391/784,961/436, numerators are 391,961
Denominators are 784,436
The GCF of 391,961 is 1 .
LCM of 784,436 is 85456.
The greatest common factor of 391/784,961/436 = [GCF of 391,961]/[LCM of 784,436]= 1/85456
Therefore, the GCF of 391/784,961/436 is 1/85456.
To find the highest common factor of 391,961, we have to find the factors of both numbers and list the highest common factor.
The factors of 391 are 1, 17, 23, 391
The factors of 961 are 1, 31, 961
The HCF of 391,961 is 1.
Lets's calculate GCF of 391,961
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 391
:1,17,23,391
Now, list down the factors of 961
:1,31,961
Greatest Common Factor
We found the factors 391,961 . The biggest common factor number is the GCF number.
So the greatest common factor 391,961 is 1.
Lets's calculate LCM of 784,436
2 | 784, 436 |
2 | 392, 218 |
196, 109 |
∴ So the LCM of the given numbers is 2 x 2 x 196 x 109 = 85456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85456
Therefore, the GCF of Fractions 391/784,961/436 is 1/85456
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 784,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,436) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(784,436) x common factors =4 x 1 = 4
LCM(784,436) = ( 784 × 436 ) / 4
LCM(784,436) = 341824 / 4
LCM(784,436) = 85456
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 391,961?
The HCF of 391,961 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 391/784, 961/436?
Answer: GCF of Numerators as per given numbers 391/784, 961/436 is
GCF of Numerators i.e. for 391,961 is 1
LCM of denominators i.e. for 784,436 is 85456.
Thus, GCF of Fractions is 1/85456.Finally, GCF of Fractions for 391/784, 961/436 is 1/85456.