Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 922/182,1496/6063
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 922,1496
Greatest Common Factor of Numerators i.e. GCF of 922,1496 is 2 .
LCM of Denominators means LCM of 182,6063 as per the given fractions.
LCM of 182,6063 is 1103466 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 922,1496
2 | 922, 1496 |
461, 748 |
∴ 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 1496
List of positive integer factors of 1496 that divides 1496 without a remainder.
1,2,4,8,11,17,22,34,44,68,88,136,187,374,748,1496
Greatest Common Factor
We found the factors 922,1496 . The biggest common factor number is the GCF number.
So the greatest common factor 922,1496 is 2.
Lets's calculate LCM of 182,6063
Given numbers has no common factors except 1. So, there LCM is their product i.e 1103466
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1103466
Therefore, the GCF of Fractions 922/182,1496/6063 is 2/1103466
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 182,6063 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,6063) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(182,6063) x common factors =1 x 1 = 1
LCM(182,6063) = ( 182 × 6063 ) / 1
LCM(182,6063) = 1103466 / 1
LCM(182,6063) = 1103466
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 922/182, 1496/6063?
Answer: GCF of Numerators as per given numbers 922/182, 1496/6063 is
GCF of Numerators i.e. for 922,1496 is 2
LCM of denominators i.e. for 182,6063 is 1103466.
Thus, GCF of Fractions is 2/1103466.Finally, GCF of Fractions for 922/182, 1496/6063 is 2/1103466.