Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 123/9371,531/7827
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 123,531
Greatest Common Factor of Numerators i.e. GCF of 123,531 is 3 .
LCM of Denominators means LCM of 9371,7827 as per the given fractions.
LCM of 9371,7827 is 73346817 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 123,531
3 | 123, 531 |
41, 177 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 123
List of positive integer factors of 123 that divides 123 without a remainder.
1,3,41,123
Factors of 531
List of positive integer factors of 531 that divides 531 without a remainder.
1,3,9,59,177,531
Greatest Common Factor
We found the factors 123,531 . The biggest common factor number is the GCF number.
So the greatest common factor 123,531 is 3.
Lets's calculate LCM of 9371,7827
Given numbers has no common factors except 1. So, there LCM is their product i.e 73346817
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/73346817
Therefore, the GCF of Fractions 123/9371,531/7827 is 3/73346817
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 9371,7827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9371,7827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9371,7827) x common factors =1 x 1 = 1
LCM(9371,7827) = ( 9371 × 7827 ) / 1
LCM(9371,7827) = 73346817 / 1
LCM(9371,7827) = 73346817
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 123/9371, 531/7827?
Answer: GCF of Numerators as per given numbers 123/9371, 531/7827 is
GCF of Numerators i.e. for 123,531 is 3
LCM of denominators i.e. for 9371,7827 is 73346817.
Thus, GCF of Fractions is 3/73346817.Finally, GCF of Fractions for 123/9371, 531/7827 is 3/73346817.