Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 990/840,828/398
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 990,828
Greatest Common Factor of Numerators i.e. GCF of 990,828 is 18 .
LCM of Denominators means LCM of 840,398 as per the given fractions.
LCM of 840,398 is 167160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 990,828
2 | 990, 828 |
3 | 495, 414 |
3 | 165, 138 |
55, 46 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
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 828
List of positive integer factors of 828 that divides 828 without a remainder.
1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Greatest Common Factor
We found the factors 990,828 . The biggest common factor number is the GCF number.
So the greatest common factor 990,828 is 18.
Lets's calculate LCM of 840,398
2 | 840, 398 |
420, 199 |
∴ So the LCM of the given numbers is 2 x 420 x 199 = 167160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/167160
Therefore, the GCF of Fractions 990/840,828/398 is 18/167160
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 840,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,398) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(840,398) x common factors =2 x 1 = 2
LCM(840,398) = ( 840 × 398 ) / 2
LCM(840,398) = 334320 / 2
LCM(840,398) = 167160
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 990/840, 828/398?
Answer: GCF of Numerators as per given numbers 990/840, 828/398 is
GCF of Numerators i.e. for 990,828 is 18
LCM of denominators i.e. for 840,398 is 167160.
Thus, GCF of Fractions is 18/167160.Finally, GCF of Fractions for 990/840, 828/398 is 18/167160.