Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3175/903,5222/2411
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 3175,5222
Greatest Common Factor of Numerators i.e. GCF of 3175,5222 is 1 .
LCM of Denominators means LCM of 903,2411 as per the given fractions.
LCM of 903,2411 is 2177133 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3175,5222
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3175
List of positive integer factors of 3175 that divides 3175 without a remainder.
1,5,25,127,635,3175
Factors of 5222
List of positive integer factors of 5222 that divides 5222 without a remainder.
1,2,7,14,373,746,2611,5222
Greatest Common Factor
We found the factors 3175,5222 . The biggest common factor number is the GCF number.
So the greatest common factor 3175,5222 is 1.
Lets's calculate LCM of 903,2411
Given numbers has no common factors except 1. So, there LCM is their product i.e 2177133
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2177133
Therefore, the GCF of Fractions 3175/903,5222/2411 is 1/2177133
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 903,2411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(903,2411) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(903,2411) x common factors =1 x 1 = 1
LCM(903,2411) = ( 903 × 2411 ) / 1
LCM(903,2411) = 2177133 / 1
LCM(903,2411) = 2177133
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 3175/903, 5222/2411?
Answer: GCF of Numerators as per given numbers 3175/903, 5222/2411 is
GCF of Numerators i.e. for 3175,5222 is 1
LCM of denominators i.e. for 903,2411 is 2177133.
Thus, GCF of Fractions is 1/2177133.Finally, GCF of Fractions for 3175/903, 5222/2411 is 1/2177133.