Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 990/171,7626/898
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 990,7626
Greatest Common Factor of Numerators i.e. GCF of 990,7626 is 6 .
LCM of Denominators means LCM of 171,898 as per the given fractions.
LCM of 171,898 is 153558 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 990,7626
2 | 990, 7626 |
3 | 495, 3813 |
165, 1271 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Factors of 7626
List of positive integer factors of 7626 that divides 7626 without a remainder.
1,2,3,6,31,41,62,82,93,123,186,246,1271,2542,3813,7626
Greatest Common Factor
We found the factors 990,7626 . The biggest common factor number is the GCF number.
So the greatest common factor 990,7626 is 6.
Lets's calculate LCM of 171,898
Given numbers has no common factors except 1. So, there LCM is their product i.e 153558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/153558
Therefore, the GCF of Fractions 990/171,7626/898 is 6/153558
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 171,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,898) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(171,898) x common factors =1 x 1 = 1
LCM(171,898) = ( 171 × 898 ) / 1
LCM(171,898) = 153558 / 1
LCM(171,898) = 153558
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 990/171, 7626/898?
Answer: GCF of Numerators as per given numbers 990/171, 7626/898 is
GCF of Numerators i.e. for 990,7626 is 6
LCM of denominators i.e. for 171,898 is 153558.
Thus, GCF of Fractions is 6/153558.Finally, GCF of Fractions for 990/171, 7626/898 is 6/153558.