Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 403/946,9418/7155
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 403,9418
Greatest Common Factor of Numerators i.e. GCF of 403,9418 is 1 .
LCM of Denominators means LCM of 946,7155 as per the given fractions.
LCM of 946,7155 is 6768630 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 403,9418
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 403
List of positive integer factors of 403 that divides 403 without a remainder.
1,13,31,403
Factors of 9418
List of positive integer factors of 9418 that divides 9418 without a remainder.
1,2,17,34,277,554,4709,9418
Greatest Common Factor
We found the factors 403,9418 . The biggest common factor number is the GCF number.
So the greatest common factor 403,9418 is 1.
Lets's calculate LCM of 946,7155
Given numbers has no common factors except 1. So, there LCM is their product i.e 6768630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6768630
Therefore, the GCF of Fractions 403/946,9418/7155 is 1/6768630
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 946,7155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(946,7155) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(946,7155) x common factors =1 x 1 = 1
LCM(946,7155) = ( 946 × 7155 ) / 1
LCM(946,7155) = 6768630 / 1
LCM(946,7155) = 6768630
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 403/946, 9418/7155?
Answer: GCF of Numerators as per given numbers 403/946, 9418/7155 is
GCF of Numerators i.e. for 403,9418 is 1
LCM of denominators i.e. for 946,7155 is 6768630.
Thus, GCF of Fractions is 1/6768630.Finally, GCF of Fractions for 403/946, 9418/7155 is 1/6768630.