Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5925/62,5558/732
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 5925,5558
Greatest Common Factor of Numerators i.e. GCF of 5925,5558 is 1 .
LCM of Denominators means LCM of 62,732 as per the given fractions.
LCM of 62,732 is 22692 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5925,5558
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5925
List of positive integer factors of 5925 that divides 5925 without a remainder.
1,3,5,15,25,75,79,237,395,1185,1975,5925
Factors of 5558
List of positive integer factors of 5558 that divides 5558 without a remainder.
1,2,7,14,397,794,2779,5558
Greatest Common Factor
We found the factors 5925,5558 . The biggest common factor number is the GCF number.
So the greatest common factor 5925,5558 is 1.
Lets's calculate LCM of 62,732
2 | 62, 732 |
31, 366 |
∴ So the LCM of the given numbers is 2 x 31 x 366 = 22692
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22692
Therefore, the GCF of Fractions 5925/62,5558/732 is 1/22692
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 62,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,732) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(62,732) x common factors =2 x 1 = 2
LCM(62,732) = ( 62 × 732 ) / 2
LCM(62,732) = 45384 / 2
LCM(62,732) = 22692
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 5925/62, 5558/732?
Answer: GCF of Numerators as per given numbers 5925/62, 5558/732 is
GCF of Numerators i.e. for 5925,5558 is 1
LCM of denominators i.e. for 62,732 is 22692.
Thus, GCF of Fractions is 1/22692.Finally, GCF of Fractions for 5925/62, 5558/732 is 1/22692.