Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4852/967,6418/9660
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 4852,6418
Greatest Common Factor of Numerators i.e. GCF of 4852,6418 is 2 .
LCM of Denominators means LCM of 967,9660 as per the given fractions.
LCM of 967,9660 is 9341220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4852,6418
2 | 4852, 6418 |
2426, 3209 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4852
List of positive integer factors of 4852 that divides 4852 without a remainder.
1,2,4,1213,2426,4852
Factors of 6418
List of positive integer factors of 6418 that divides 6418 without a remainder.
1,2,3209,6418
Greatest Common Factor
We found the factors 4852,6418 . The biggest common factor number is the GCF number.
So the greatest common factor 4852,6418 is 2.
Lets's calculate LCM of 967,9660
Given numbers has no common factors except 1. So, there LCM is their product i.e 9341220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9341220
Therefore, the GCF of Fractions 4852/967,6418/9660 is 2/9341220
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 967,9660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(967,9660) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(967,9660) x common factors =1 x 1 = 1
LCM(967,9660) = ( 967 × 9660 ) / 1
LCM(967,9660) = 9341220 / 1
LCM(967,9660) = 9341220
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 4852/967, 6418/9660?
Answer: GCF of Numerators as per given numbers 4852/967, 6418/9660 is
GCF of Numerators i.e. for 4852,6418 is 2
LCM of denominators i.e. for 967,9660 is 9341220.
Thus, GCF of Fractions is 2/9341220.Finally, GCF of Fractions for 4852/967, 6418/9660 is 2/9341220.