Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 850/16,992/83,922/975
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 850,992,922
Greatest Common Factor of Numerators i.e. GCF of 850,992,922 is 2 .
LCM of Denominators means LCM of 16,83,975 as per the given fractions.
LCM of 16,83,975 is 1294800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 850,992,922
2 | 850, 992, 922 |
425, 496, 461 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 850
List of positive integer factors of 850 that divides 850 without a remainder.
1,2,5,10,17,25,34,50,85,170,425,850
Factors of 992
List of positive integer factors of 992 that divides 992 without a remainder.
1,2,4,8,16,31,32,62,124,248,496,992
Factors of 922
List of positive integer factors of 922 that divides 922 without a remainder.
1,2,461,922
Greatest Common Factor
We found the factors 850,992,922 . The biggest common factor number is the GCF number.
So the greatest common factor 850,992,922 is 2.
Lets's calculate LCM of 16,83,975
Given numbers has no common factors except 1. So, there LCM is their product i.e 1294800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1294800
Therefore, the GCF of Fractions 850/16,992/83,922/975 is 2/1294800
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 16,83,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,83,975) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,83,975) x common factors =1 x 1 = 1
LCM(16,83,975) = ( 16 × 83 × 975 ) / 1
LCM(16,83,975) = 1294800 / 1
LCM(16,83,975) = 1294800
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 850/16, 992/83, 922/975?
Answer: GCF of Numerators as per given numbers 850/16, 992/83, 922/975 is
GCF of Numerators i.e. for 850,992,922 is 2
LCM of denominators i.e. for 16,83,975 is 1294800.
Thus, GCF of Fractions is 2/1294800.Finally, GCF of Fractions for 850/16, 992/83, 922/975 is 2/1294800.