Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9215/521,7267/169
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 9215,7267
Greatest Common Factor of Numerators i.e. GCF of 9215,7267 is 1 .
LCM of Denominators means LCM of 521,169 as per the given fractions.
LCM of 521,169 is 88049 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9215,7267
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9215
List of positive integer factors of 9215 that divides 9215 without a remainder.
1,5,19,95,97,485,1843,9215
Factors of 7267
List of positive integer factors of 7267 that divides 7267 without a remainder.
1,13,43,169,559,7267
Greatest Common Factor
We found the factors 9215,7267 . The biggest common factor number is the GCF number.
So the greatest common factor 9215,7267 is 1.
Lets's calculate LCM of 521,169
Given numbers has no common factors except 1. So, there LCM is their product i.e 88049
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88049
Therefore, the GCF of Fractions 9215/521,7267/169 is 1/88049
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 521,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(521,169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(521,169) x common factors =1 x 1 = 1
LCM(521,169) = ( 521 × 169 ) / 1
LCM(521,169) = 88049 / 1
LCM(521,169) = 88049
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 9215/521, 7267/169?
Answer: GCF of Numerators as per given numbers 9215/521, 7267/169 is
GCF of Numerators i.e. for 9215,7267 is 1
LCM of denominators i.e. for 521,169 is 88049.
Thus, GCF of Fractions is 1/88049.Finally, GCF of Fractions for 9215/521, 7267/169 is 1/88049.