Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8496/201,2567/3316
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 8496,2567
Greatest Common Factor of Numerators i.e. GCF of 8496,2567 is 1 .
LCM of Denominators means LCM of 201,3316 as per the given fractions.
LCM of 201,3316 is 666516 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8496,2567
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8496
List of positive integer factors of 8496 that divides 8496 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,48,59,72,118,144,177,236,354,472,531,708,944,1062,1416,2124,2832,4248,8496
Factors of 2567
List of positive integer factors of 2567 that divides 2567 without a remainder.
1,17,151,2567
Greatest Common Factor
We found the factors 8496,2567 . The biggest common factor number is the GCF number.
So the greatest common factor 8496,2567 is 1.
Lets's calculate LCM of 201,3316
Given numbers has no common factors except 1. So, there LCM is their product i.e 666516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/666516
Therefore, the GCF of Fractions 8496/201,2567/3316 is 1/666516
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 201,3316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(201,3316) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(201,3316) x common factors =1 x 1 = 1
LCM(201,3316) = ( 201 × 3316 ) / 1
LCM(201,3316) = 666516 / 1
LCM(201,3316) = 666516
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 8496/201, 2567/3316?
Answer: GCF of Numerators as per given numbers 8496/201, 2567/3316 is
GCF of Numerators i.e. for 8496,2567 is 1
LCM of denominators i.e. for 201,3316 is 666516.
Thus, GCF of Fractions is 1/666516.Finally, GCF of Fractions for 8496/201, 2567/3316 is 1/666516.