Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3848/427,7604/424
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 3848,7604
Greatest Common Factor of Numerators i.e. GCF of 3848,7604 is 4 .
LCM of Denominators means LCM of 427,424 as per the given fractions.
LCM of 427,424 is 181048 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3848,7604
2 | 3848, 7604 |
2 | 1924, 3802 |
962, 1901 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 3848
List of positive integer factors of 3848 that divides 3848 without a remainder.
1,2,4,8,13,26,37,52,74,104,148,296,481,962,1924,3848
Factors of 7604
List of positive integer factors of 7604 that divides 7604 without a remainder.
1,2,4,1901,3802,7604
Greatest Common Factor
We found the factors 3848,7604 . The biggest common factor number is the GCF number.
So the greatest common factor 3848,7604 is 4.
Lets's calculate LCM of 427,424
Given numbers has no common factors except 1. So, there LCM is their product i.e 181048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/181048
Therefore, the GCF of Fractions 3848/427,7604/424 is 4/181048
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 427,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,424) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(427,424) x common factors =1 x 1 = 1
LCM(427,424) = ( 427 × 424 ) / 1
LCM(427,424) = 181048 / 1
LCM(427,424) = 181048
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 3848/427, 7604/424?
Answer: GCF of Numerators as per given numbers 3848/427, 7604/424 is
GCF of Numerators i.e. for 3848,7604 is 4
LCM of denominators i.e. for 427,424 is 181048.
Thus, GCF of Fractions is 4/181048.Finally, GCF of Fractions for 3848/427, 7604/424 is 4/181048.