Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 922/111,3152/125
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 922,3152
Greatest Common Factor of Numerators i.e. GCF of 922,3152 is 2 .
LCM of Denominators means LCM of 111,125 as per the given fractions.
LCM of 111,125 is 13875 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 922,3152
2 | 922, 3152 |
461, 1576 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 922
List of positive integer factors of 922 that divides 922 without a remainder.
1,2,461,922
Factors of 3152
List of positive integer factors of 3152 that divides 3152 without a remainder.
1,2,4,8,16,197,394,788,1576,3152
Greatest Common Factor
We found the factors 922,3152 . The biggest common factor number is the GCF number.
So the greatest common factor 922,3152 is 2.
Lets's calculate LCM of 111,125
Given numbers has no common factors except 1. So, there LCM is their product i.e 13875
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13875
Therefore, the GCF of Fractions 922/111,3152/125 is 2/13875
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 111,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(111,125) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(111,125) x common factors =1 x 1 = 1
LCM(111,125) = ( 111 × 125 ) / 1
LCM(111,125) = 13875 / 1
LCM(111,125) = 13875
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 922/111, 3152/125?
Answer: GCF of Numerators as per given numbers 922/111, 3152/125 is
GCF of Numerators i.e. for 922,3152 is 2
LCM of denominators i.e. for 111,125 is 13875.
Thus, GCF of Fractions is 2/13875.Finally, GCF of Fractions for 922/111, 3152/125 is 2/13875.