Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/51,55/79,23/37,99/553
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 14,55,23,99
Greatest Common Factor of Numerators i.e. GCF of 14,55,23,99 is 1 .
LCM of Denominators means LCM of 51,79,37,553 as per the given fractions.
LCM of 51,79,37,553 is 1043511 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 14,55,23,99
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Greatest Common Factor
We found the factors 14,55,23,99 . The biggest common factor number is the GCF number.
So the greatest common factor 14,55,23,99 is 1.
Lets's calculate LCM of 51,79,37,553
79 | 51, 79, 37, 553 |
51, 1, 37, 7 |
∴ So the LCM of the given numbers is 79 x 51 x 1 x 37 x 7 = 1043511
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1043511
Therefore, the GCF of Fractions 14/51,55/79,23/37,99/553 is 1/1043511
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 51,79,37,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,79,37,553) = 1
common factors(in case of two or more numbers have common factors) = 79
GCF(51,79,37,553) x common factors =1 x 79 = 79
LCM(51,79,37,553) = ( 51 × 79 × 37 × 553 ) / 79
LCM(51,79,37,553) = 82437369 / 79
LCM(51,79,37,553) = 1043511
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 14/51, 55/79, 23/37, 99/553?
Answer: GCF of Numerators as per given numbers 14/51, 55/79, 23/37, 99/553 is
GCF of Numerators i.e. for 14,55,23,99 is 1
LCM of denominators i.e. for 51,79,37,553 is 1043511.
Thus, GCF of Fractions is 1/1043511.Finally, GCF of Fractions for 14/51, 55/79, 23/37, 99/553 is 1/1043511.