Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7608/26,8519/222
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 7608,8519
Greatest Common Factor of Numerators i.e. GCF of 7608,8519 is 1 .
LCM of Denominators means LCM of 26,222 as per the given fractions.
LCM of 26,222 is 2886 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7608,8519
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7608
List of positive integer factors of 7608 that divides 7608 without a remainder.
1,2,3,4,6,8,12,24,317,634,951,1268,1902,2536,3804,7608
Factors of 8519
List of positive integer factors of 8519 that divides 8519 without a remainder.
1,7,1217,8519
Greatest Common Factor
We found the factors 7608,8519 . The biggest common factor number is the GCF number.
So the greatest common factor 7608,8519 is 1.
Lets's calculate LCM of 26,222
2 | 26, 222 |
13, 111 |
∴ So the LCM of the given numbers is 2 x 13 x 111 = 2886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2886
Therefore, the GCF of Fractions 7608/26,8519/222 is 1/2886
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 26,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,222) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(26,222) x common factors =2 x 1 = 2
LCM(26,222) = ( 26 × 222 ) / 2
LCM(26,222) = 5772 / 2
LCM(26,222) = 2886
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 7608/26, 8519/222?
Answer: GCF of Numerators as per given numbers 7608/26, 8519/222 is
GCF of Numerators i.e. for 7608,8519 is 1
LCM of denominators i.e. for 26,222 is 2886.
Thus, GCF of Fractions is 1/2886.Finally, GCF of Fractions for 7608/26, 8519/222 is 1/2886.