Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5594/928,2436/569
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 5594,2436
Greatest Common Factor of Numerators i.e. GCF of 5594,2436 is 2 .
LCM of Denominators means LCM of 928,569 as per the given fractions.
LCM of 928,569 is 528032 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5594,2436
2 | 5594, 2436 |
2797, 1218 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5594
List of positive integer factors of 5594 that divides 5594 without a remainder.
1,2,2797,5594
Factors of 2436
List of positive integer factors of 2436 that divides 2436 without a remainder.
1,2,3,4,6,7,12,14,21,28,29,42,58,84,87,116,174,203,348,406,609,812,1218,2436
Greatest Common Factor
We found the factors 5594,2436 . The biggest common factor number is the GCF number.
So the greatest common factor 5594,2436 is 2.
Lets's calculate LCM of 928,569
Given numbers has no common factors except 1. So, there LCM is their product i.e 528032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/528032
Therefore, the GCF of Fractions 5594/928,2436/569 is 2/528032
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 928,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(928,569) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(928,569) x common factors =1 x 1 = 1
LCM(928,569) = ( 928 × 569 ) / 1
LCM(928,569) = 528032 / 1
LCM(928,569) = 528032
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 5594/928, 2436/569?
Answer: GCF of Numerators as per given numbers 5594/928, 2436/569 is
GCF of Numerators i.e. for 5594,2436 is 2
LCM of denominators i.e. for 928,569 is 528032.
Thus, GCF of Fractions is 2/528032.Finally, GCF of Fractions for 5594/928, 2436/569 is 2/528032.