Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 740/86,1917/203
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 740,1917
Greatest Common Factor of Numerators i.e. GCF of 740,1917 is 1 .
LCM of Denominators means LCM of 86,203 as per the given fractions.
LCM of 86,203 is 17458 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 740,1917
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 740
List of positive integer factors of 740 that divides 740 without a remainder.
1,2,4,5,10,20,37,74,148,185,370,740
Factors of 1917
List of positive integer factors of 1917 that divides 1917 without a remainder.
1,3,9,27,71,213,639,1917
Greatest Common Factor
We found the factors 740,1917 . The biggest common factor number is the GCF number.
So the greatest common factor 740,1917 is 1.
Lets's calculate LCM of 86,203
Given numbers has no common factors except 1. So, there LCM is their product i.e 17458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17458
Therefore, the GCF of Fractions 740/86,1917/203 is 1/17458
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 86,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,203) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(86,203) x common factors =1 x 1 = 1
LCM(86,203) = ( 86 × 203 ) / 1
LCM(86,203) = 17458 / 1
LCM(86,203) = 17458
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 740/86, 1917/203?
Answer: GCF of Numerators as per given numbers 740/86, 1917/203 is
GCF of Numerators i.e. for 740,1917 is 1
LCM of denominators i.e. for 86,203 is 17458.
Thus, GCF of Fractions is 1/17458.Finally, GCF of Fractions for 740/86, 1917/203 is 1/17458.