Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4653/30,8888/347
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 4653,8888
Greatest Common Factor of Numerators i.e. GCF of 4653,8888 is 11 .
LCM of Denominators means LCM of 30,347 as per the given fractions.
LCM of 30,347 is 10410 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4653,8888
11 | 4653, 8888 |
423, 808 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 4653
List of positive integer factors of 4653 that divides 4653 without a remainder.
1,3,9,11,33,47,99,141,423,517,1551,4653
Factors of 8888
List of positive integer factors of 8888 that divides 8888 without a remainder.
1,2,4,8,11,22,44,88,101,202,404,808,1111,2222,4444,8888
Greatest Common Factor
We found the factors 4653,8888 . The biggest common factor number is the GCF number.
So the greatest common factor 4653,8888 is 11.
Lets's calculate LCM of 30,347
Given numbers has no common factors except 1. So, there LCM is their product i.e 10410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/10410
Therefore, the GCF of Fractions 4653/30,8888/347 is 11/10410
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 30,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,347) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(30,347) x common factors =1 x 1 = 1
LCM(30,347) = ( 30 × 347 ) / 1
LCM(30,347) = 10410 / 1
LCM(30,347) = 10410
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 4653/30, 8888/347?
Answer: GCF of Numerators as per given numbers 4653/30, 8888/347 is
GCF of Numerators i.e. for 4653,8888 is 11
LCM of denominators i.e. for 30,347 is 10410.
Thus, GCF of Fractions is 11/10410.Finally, GCF of Fractions for 4653/30, 8888/347 is 11/10410.