Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5707/155,1199/738
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 5707,1199
Greatest Common Factor of Numerators i.e. GCF of 5707,1199 is 1 .
LCM of Denominators means LCM of 155,738 as per the given fractions.
LCM of 155,738 is 114390 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5707,1199
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5707
List of positive integer factors of 5707 that divides 5707 without a remainder.
1,13,439,5707
Factors of 1199
List of positive integer factors of 1199 that divides 1199 without a remainder.
1,11,109,1199
Greatest Common Factor
We found the factors 5707,1199 . The biggest common factor number is the GCF number.
So the greatest common factor 5707,1199 is 1.
Lets's calculate LCM of 155,738
Given numbers has no common factors except 1. So, there LCM is their product i.e 114390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114390
Therefore, the GCF of Fractions 5707/155,1199/738 is 1/114390
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 155,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(155,738) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(155,738) x common factors =1 x 1 = 1
LCM(155,738) = ( 155 × 738 ) / 1
LCM(155,738) = 114390 / 1
LCM(155,738) = 114390
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 5707/155, 1199/738?
Answer: GCF of Numerators as per given numbers 5707/155, 1199/738 is
GCF of Numerators i.e. for 5707,1199 is 1
LCM of denominators i.e. for 155,738 is 114390.
Thus, GCF of Fractions is 1/114390.Finally, GCF of Fractions for 5707/155, 1199/738 is 1/114390.