Use our free GCF of Fractions Calculator tool to compute the GCF of 991/405, 354/416 i.e 1/168480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 991/405, 354/416.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 991/405,354/416
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 991/405,354/416, numerators are 991,354
Denominators are 405,416
The GCF of 991,354 is 1 .
LCM of 405,416 is 168480.
The greatest common factor of 991/405,354/416 = [GCF of 991,354]/[LCM of 405,416]= 1/168480
Therefore, the GCF of 991/405,354/416 is 1/168480.
To find the highest common factor of 991,354, we have to find the factors of both numbers and list the highest common factor.
The factors of 991 are 1, 991
The factors of 354 are 1, 2, 3, 6, 59, 118, 177, 354
The HCF of 991,354 is 1.
Lets's calculate GCF of 991,354
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 991
:1,991
Now, list down the factors of 354
:1,2,3,6,59,118,177,354
Greatest Common Factor
We found the factors 991,354 . The biggest common factor number is the GCF number.
So the greatest common factor 991,354 is 1.
Lets's calculate LCM of 405,416
Given numbers has no common factors except 1. So, there LCM is their product i.e 168480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/168480
Therefore, the GCF of Fractions 991/405,354/416 is 1/168480
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 405,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(405,416) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(405,416) x common factors =1 x 1 = 1
LCM(405,416) = ( 405 × 416 ) / 1
LCM(405,416) = 168480 / 1
LCM(405,416) = 168480
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 991,354?
The HCF of 991,354 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 991/405, 354/416?
Answer: GCF of Numerators as per given numbers 991/405, 354/416 is
GCF of Numerators i.e. for 991,354 is 1
LCM of denominators i.e. for 405,416 is 168480.
Thus, GCF of Fractions is 1/168480.Finally, GCF of Fractions for 991/405, 354/416 is 1/168480.