Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 253/94,666/8981
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 253,666
Greatest Common Factor of Numerators i.e. GCF of 253,666 is 1 .
LCM of Denominators means LCM of 94,8981 as per the given fractions.
LCM of 94,8981 is 844214 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 253,666
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 253
List of positive integer factors of 253 that divides 253 without a remainder.
1,11,23,253
Factors of 666
List of positive integer factors of 666 that divides 666 without a remainder.
1,2,3,6,9,18,37,74,111,222,333,666
Greatest Common Factor
We found the factors 253,666 . The biggest common factor number is the GCF number.
So the greatest common factor 253,666 is 1.
Lets's calculate LCM of 94,8981
Given numbers has no common factors except 1. So, there LCM is their product i.e 844214
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/844214
Therefore, the GCF of Fractions 253/94,666/8981 is 1/844214
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 94,8981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,8981) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(94,8981) x common factors =1 x 1 = 1
LCM(94,8981) = ( 94 × 8981 ) / 1
LCM(94,8981) = 844214 / 1
LCM(94,8981) = 844214
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 253/94, 666/8981?
Answer: GCF of Numerators as per given numbers 253/94, 666/8981 is
GCF of Numerators i.e. for 253,666 is 1
LCM of denominators i.e. for 94,8981 is 844214.
Thus, GCF of Fractions is 1/844214.Finally, GCF of Fractions for 253/94, 666/8981 is 1/844214.