Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1607/26,5344/905
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 1607,5344
Greatest Common Factor of Numerators i.e. GCF of 1607,5344 is 1 .
LCM of Denominators means LCM of 26,905 as per the given fractions.
LCM of 26,905 is 23530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1607,5344
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1607
List of positive integer factors of 1607 that divides 1607 without a remainder.
1,1607
Factors of 5344
List of positive integer factors of 5344 that divides 5344 without a remainder.
1,2,4,8,16,32,167,334,668,1336,2672,5344
Greatest Common Factor
We found the factors 1607,5344 . The biggest common factor number is the GCF number.
So the greatest common factor 1607,5344 is 1.
Lets's calculate LCM of 26,905
Given numbers has no common factors except 1. So, there LCM is their product i.e 23530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23530
Therefore, the GCF of Fractions 1607/26,5344/905 is 1/23530
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 26,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,905) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(26,905) x common factors =1 x 1 = 1
LCM(26,905) = ( 26 × 905 ) / 1
LCM(26,905) = 23530 / 1
LCM(26,905) = 23530
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 1607/26, 5344/905?
Answer: GCF of Numerators as per given numbers 1607/26, 5344/905 is
GCF of Numerators i.e. for 1607,5344 is 1
LCM of denominators i.e. for 26,905 is 23530.
Thus, GCF of Fractions is 1/23530.Finally, GCF of Fractions for 1607/26, 5344/905 is 1/23530.