Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5393/27,3542/379
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 5393,3542
Greatest Common Factor of Numerators i.e. GCF of 5393,3542 is 1 .
LCM of Denominators means LCM of 27,379 as per the given fractions.
LCM of 27,379 is 10233 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5393,3542
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5393
List of positive integer factors of 5393 that divides 5393 without a remainder.
1,5393
Factors of 3542
List of positive integer factors of 3542 that divides 3542 without a remainder.
1,2,7,11,14,22,23,46,77,154,161,253,322,506,1771,3542
Greatest Common Factor
We found the factors 5393,3542 . The biggest common factor number is the GCF number.
So the greatest common factor 5393,3542 is 1.
Lets's calculate LCM of 27,379
Given numbers has no common factors except 1. So, there LCM is their product i.e 10233
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10233
Therefore, the GCF of Fractions 5393/27,3542/379 is 1/10233
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 27,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,379) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,379) x common factors =1 x 1 = 1
LCM(27,379) = ( 27 × 379 ) / 1
LCM(27,379) = 10233 / 1
LCM(27,379) = 10233
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 5393/27, 3542/379?
Answer: GCF of Numerators as per given numbers 5393/27, 3542/379 is
GCF of Numerators i.e. for 5393,3542 is 1
LCM of denominators i.e. for 27,379 is 10233.
Thus, GCF of Fractions is 1/10233.Finally, GCF of Fractions for 5393/27, 3542/379 is 1/10233.