Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1301/90,3773/251
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 1301,3773
Greatest Common Factor of Numerators i.e. GCF of 1301,3773 is 1 .
LCM of Denominators means LCM of 90,251 as per the given fractions.
LCM of 90,251 is 22590 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1301,3773
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1301
List of positive integer factors of 1301 that divides 1301 without a remainder.
1,1301
Factors of 3773
List of positive integer factors of 3773 that divides 3773 without a remainder.
1,7,11,49,77,343,539,3773
Greatest Common Factor
We found the factors 1301,3773 . The biggest common factor number is the GCF number.
So the greatest common factor 1301,3773 is 1.
Lets's calculate LCM of 90,251
Given numbers has no common factors except 1. So, there LCM is their product i.e 22590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22590
Therefore, the GCF of Fractions 1301/90,3773/251 is 1/22590
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 90,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,251) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(90,251) x common factors =1 x 1 = 1
LCM(90,251) = ( 90 × 251 ) / 1
LCM(90,251) = 22590 / 1
LCM(90,251) = 22590
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 1301/90, 3773/251?
Answer: GCF of Numerators as per given numbers 1301/90, 3773/251 is
GCF of Numerators i.e. for 1301,3773 is 1
LCM of denominators i.e. for 90,251 is 22590.
Thus, GCF of Fractions is 1/22590.Finally, GCF of Fractions for 1301/90, 3773/251 is 1/22590.