Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5604/62,5714/226
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 5604,5714
Greatest Common Factor of Numerators i.e. GCF of 5604,5714 is 2 .
LCM of Denominators means LCM of 62,226 as per the given fractions.
LCM of 62,226 is 7006 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5604,5714
2 | 5604, 5714 |
2802, 2857 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5604
List of positive integer factors of 5604 that divides 5604 without a remainder.
1,2,3,4,6,12,467,934,1401,1868,2802,5604
Factors of 5714
List of positive integer factors of 5714 that divides 5714 without a remainder.
1,2,2857,5714
Greatest Common Factor
We found the factors 5604,5714 . The biggest common factor number is the GCF number.
So the greatest common factor 5604,5714 is 2.
Lets's calculate LCM of 62,226
2 | 62, 226 |
31, 113 |
∴ So the LCM of the given numbers is 2 x 31 x 113 = 7006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7006
Therefore, the GCF of Fractions 5604/62,5714/226 is 2/7006
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 62,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,226) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(62,226) x common factors =2 x 1 = 2
LCM(62,226) = ( 62 × 226 ) / 2
LCM(62,226) = 14012 / 2
LCM(62,226) = 7006
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 5604/62, 5714/226?
Answer: GCF of Numerators as per given numbers 5604/62, 5714/226 is
GCF of Numerators i.e. for 5604,5714 is 2
LCM of denominators i.e. for 62,226 is 7006.
Thus, GCF of Fractions is 2/7006.Finally, GCF of Fractions for 5604/62, 5714/226 is 2/7006.