Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/25,37/21,42/907,553/155
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 8,37,42,553
Greatest Common Factor of Numerators i.e. GCF of 8,37,42,553 is 1 .
LCM of Denominators means LCM of 25,21,907,155 as per the given fractions.
LCM of 25,21,907,155 is 14761425 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8,37,42,553
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8
List of positive integer factors of 8 that divides 8 without a remainder.
1,2,4,8
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 553
List of positive integer factors of 553 that divides 553 without a remainder.
1,7,79,553
Greatest Common Factor
We found the factors 8,37,42,553 . The biggest common factor number is the GCF number.
So the greatest common factor 8,37,42,553 is 1.
Lets's calculate LCM of 25,21,907,155
5 | 25, 21, 907, 155 |
5, 21, 907, 31 |
∴ So the LCM of the given numbers is 5 x 5 x 21 x 907 x 31 = 14761425
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14761425
Therefore, the GCF of Fractions 8/25,37/21,42/907,553/155 is 1/14761425
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 25,21,907,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,21,907,155) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(25,21,907,155) x common factors =1 x 5 = 5
LCM(25,21,907,155) = ( 25 × 21 × 907 × 155 ) / 5
LCM(25,21,907,155) = 73807125 / 5
LCM(25,21,907,155) = 14761425
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 8/25, 37/21, 42/907, 553/155?
Answer: GCF of Numerators as per given numbers 8/25, 37/21, 42/907, 553/155 is
GCF of Numerators i.e. for 8,37,42,553 is 1
LCM of denominators i.e. for 25,21,907,155 is 14761425.
Thus, GCF of Fractions is 1/14761425.Finally, GCF of Fractions for 8/25, 37/21, 42/907, 553/155 is 1/14761425.