Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 975/550,858/888
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 975,858
Greatest Common Factor of Numerators i.e. GCF of 975,858 is 39 .
LCM of Denominators means LCM of 550,888 as per the given fractions.
LCM of 550,888 is 244200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 975,858
3 | 975, 858 |
13 | 325, 286 |
25, 22 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Factors of 975
List of positive integer factors of 975 that divides 975 without a remainder.
1,3,5,13,15,25,39,65,75,195,325,975
Factors of 858
List of positive integer factors of 858 that divides 858 without a remainder.
1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Greatest Common Factor
We found the factors 975,858 . The biggest common factor number is the GCF number.
So the greatest common factor 975,858 is 39.
Lets's calculate LCM of 550,888
2 | 550, 888 |
275, 444 |
∴ So the LCM of the given numbers is 2 x 275 x 444 = 244200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/244200
Therefore, the GCF of Fractions 975/550,858/888 is 39/244200
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 550,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(550,888) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(550,888) x common factors =2 x 1 = 2
LCM(550,888) = ( 550 × 888 ) / 2
LCM(550,888) = 488400 / 2
LCM(550,888) = 244200
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 975/550, 858/888?
Answer: GCF of Numerators as per given numbers 975/550, 858/888 is
GCF of Numerators i.e. for 975,858 is 39
LCM of denominators i.e. for 550,888 is 244200.
Thus, GCF of Fractions is 39/244200.Finally, GCF of Fractions for 975/550, 858/888 is 39/244200.