Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 832/645,9116/4371
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 832,9116
Greatest Common Factor of Numerators i.e. GCF of 832,9116 is 4 .
LCM of Denominators means LCM of 645,4371 as per the given fractions.
LCM of 645,4371 is 939765 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 832,9116
2 | 832, 9116 |
2 | 416, 4558 |
208, 2279 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 832
List of positive integer factors of 832 that divides 832 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,208,416,832
Factors of 9116
List of positive integer factors of 9116 that divides 9116 without a remainder.
1,2,4,43,53,86,106,172,212,2279,4558,9116
Greatest Common Factor
We found the factors 832,9116 . The biggest common factor number is the GCF number.
So the greatest common factor 832,9116 is 4.
Lets's calculate LCM of 645,4371
3 | 645, 4371 |
215, 1457 |
∴ So the LCM of the given numbers is 3 x 215 x 1457 = 939765
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/939765
Therefore, the GCF of Fractions 832/645,9116/4371 is 4/939765
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 645,4371 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(645,4371) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(645,4371) x common factors =3 x 1 = 3
LCM(645,4371) = ( 645 × 4371 ) / 3
LCM(645,4371) = 2819295 / 3
LCM(645,4371) = 939765
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 832/645, 9116/4371?
Answer: GCF of Numerators as per given numbers 832/645, 9116/4371 is
GCF of Numerators i.e. for 832,9116 is 4
LCM of denominators i.e. for 645,4371 is 939765.
Thus, GCF of Fractions is 4/939765.Finally, GCF of Fractions for 832/645, 9116/4371 is 4/939765.