Use our free GCF of Fractions Calculator tool to compute the GCF of 99/79, 898/49, 810/822 i.e 1/3181962 easily. The following is the detailed procedure to determine the greatest common factor of fractions 99/79, 898/49, 810/822.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 99/79,898/49,810/822
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 99/79,898/49,810/822, numerators are 99,898,810
Denominators are 79,49,822
The GCF of 99,898,810 is 1 .
LCM of 79,49,822 is 3181962.
The greatest common factor of 99/79,898/49,810/822 = [GCF of 99,898,810]/[LCM of 79,49,822]= 1/3181962
Therefore, the GCF of 99/79,898/49,810/822 is 1/3181962.
To find the highest common factor of 99,898,810, we have to find the factors of both numbers and list the highest common factor.
The factors of 99 are 1, 3, 9, 11, 33, 99
The factors of 898 are 1, 2, 449, 898
The factors of 810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
The HCF of 99,898,810 is 1.
Lets's calculate GCF of 99,898,810
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 99
:1,3,9,11,33,99
Now, list down the factors of 898
:1,2,449,898
Now, list down the factors of 810
:1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Greatest Common Factor
We found the factors 99,898,810 . The biggest common factor number is the GCF number.
So the greatest common factor 99,898,810 is 1.
Lets's calculate LCM of 79,49,822
Given numbers has no common factors except 1. So, there LCM is their product i.e 3181962
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3181962
Therefore, the GCF of Fractions 99/79,898/49,810/822 is 1/3181962
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 79,49,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,49,822) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,49,822) x common factors =1 x 1 = 1
LCM(79,49,822) = ( 79 × 49 × 822 ) / 1
LCM(79,49,822) = 3181962 / 1
LCM(79,49,822) = 3181962
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 99,898,810?
The HCF of 99,898,810 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 99/79, 898/49, 810/822?
Answer: GCF of Numerators as per given numbers 99/79, 898/49, 810/822 is
GCF of Numerators i.e. for 99,898,810 is 1
LCM of denominators i.e. for 79,49,822 is 3181962.
Thus, GCF of Fractions is 1/3181962.Finally, GCF of Fractions for 99/79, 898/49, 810/822 is 1/3181962.