Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 636/97,223/9175
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 636,223
Greatest Common Factor of Numerators i.e. GCF of 636,223 is 1 .
LCM of Denominators means LCM of 97,9175 as per the given fractions.
LCM of 97,9175 is 889975 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 636,223
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 636
List of positive integer factors of 636 that divides 636 without a remainder.
1,2,3,4,6,12,53,106,159,212,318,636
Factors of 223
List of positive integer factors of 223 that divides 223 without a remainder.
1,223
Greatest Common Factor
We found the factors 636,223 . The biggest common factor number is the GCF number.
So the greatest common factor 636,223 is 1.
Lets's calculate LCM of 97,9175
Given numbers has no common factors except 1. So, there LCM is their product i.e 889975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/889975
Therefore, the GCF of Fractions 636/97,223/9175 is 1/889975
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 97,9175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,9175) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,9175) x common factors =1 x 1 = 1
LCM(97,9175) = ( 97 × 9175 ) / 1
LCM(97,9175) = 889975 / 1
LCM(97,9175) = 889975
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 636/97, 223/9175?
Answer: GCF of Numerators as per given numbers 636/97, 223/9175 is
GCF of Numerators i.e. for 636,223 is 1
LCM of denominators i.e. for 97,9175 is 889975.
Thus, GCF of Fractions is 1/889975.Finally, GCF of Fractions for 636/97, 223/9175 is 1/889975.