Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 47/62,63/62,99/25,25/918
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 47,63,99,25
Greatest Common Factor of Numerators i.e. GCF of 47,63,99,25 is 1 .
LCM of Denominators means LCM of 62,62,25,918 as per the given fractions.
LCM of 62,62,25,918 is 711450 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 47,63,99,25
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Greatest Common Factor
We found the factors 47,63,99,25 . The biggest common factor number is the GCF number.
So the greatest common factor 47,63,99,25 is 1.
Lets's calculate LCM of 62,62,25,918
2 | 62, 62, 25, 918 |
31 | 31, 31, 25, 459 |
1, 1, 25, 459 |
∴ So the LCM of the given numbers is 2 x 31 x 1 x 1 x 25 x 459 = 711450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/711450
Therefore, the GCF of Fractions 47/62,63/62,99/25,25/918 is 1/711450
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 62,62,25,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,62,25,918) = 1
common factors(in case of two or more numbers have common factors) = 124
GCF(62,62,25,918) x common factors =1 x 124 = 124
LCM(62,62,25,918) = ( 62 × 62 × 25 × 918 ) / 124
LCM(62,62,25,918) = 88219800 / 124
LCM(62,62,25,918) = 711450
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 47/62, 63/62, 99/25, 25/918?
Answer: GCF of Numerators as per given numbers 47/62, 63/62, 99/25, 25/918 is
GCF of Numerators i.e. for 47,63,99,25 is 1
LCM of denominators i.e. for 62,62,25,918 is 711450.
Thus, GCF of Fractions is 1/711450.Finally, GCF of Fractions for 47/62, 63/62, 99/25, 25/918 is 1/711450.