Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2227/905,2951/8522
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 2227,2951
Greatest Common Factor of Numerators i.e. GCF of 2227,2951 is 1 .
LCM of Denominators means LCM of 905,8522 as per the given fractions.
LCM of 905,8522 is 7712410 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2227,2951
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2227
List of positive integer factors of 2227 that divides 2227 without a remainder.
1,17,131,2227
Factors of 2951
List of positive integer factors of 2951 that divides 2951 without a remainder.
1,13,227,2951
Greatest Common Factor
We found the factors 2227,2951 . The biggest common factor number is the GCF number.
So the greatest common factor 2227,2951 is 1.
Lets's calculate LCM of 905,8522
Given numbers has no common factors except 1. So, there LCM is their product i.e 7712410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7712410
Therefore, the GCF of Fractions 2227/905,2951/8522 is 1/7712410
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 905,8522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(905,8522) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(905,8522) x common factors =1 x 1 = 1
LCM(905,8522) = ( 905 × 8522 ) / 1
LCM(905,8522) = 7712410 / 1
LCM(905,8522) = 7712410
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 2227/905, 2951/8522?
Answer: GCF of Numerators as per given numbers 2227/905, 2951/8522 is
GCF of Numerators i.e. for 2227,2951 is 1
LCM of denominators i.e. for 905,8522 is 7712410.
Thus, GCF of Fractions is 1/7712410.Finally, GCF of Fractions for 2227/905, 2951/8522 is 1/7712410.