Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 89/359,9162/8417
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 89,9162
Greatest Common Factor of Numerators i.e. GCF of 89,9162 is 1 .
LCM of Denominators means LCM of 359,8417 as per the given fractions.
LCM of 359,8417 is 3021703 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 89,9162
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 9162
List of positive integer factors of 9162 that divides 9162 without a remainder.
1,2,3,6,9,18,509,1018,1527,3054,4581,9162
Greatest Common Factor
We found the factors 89,9162 . The biggest common factor number is the GCF number.
So the greatest common factor 89,9162 is 1.
Lets's calculate LCM of 359,8417
Given numbers has no common factors except 1. So, there LCM is their product i.e 3021703
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3021703
Therefore, the GCF of Fractions 89/359,9162/8417 is 1/3021703
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 359,8417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(359,8417) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(359,8417) x common factors =1 x 1 = 1
LCM(359,8417) = ( 359 × 8417 ) / 1
LCM(359,8417) = 3021703 / 1
LCM(359,8417) = 3021703
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 89/359, 9162/8417?
Answer: GCF of Numerators as per given numbers 89/359, 9162/8417 is
GCF of Numerators i.e. for 89,9162 is 1
LCM of denominators i.e. for 359,8417 is 3021703.
Thus, GCF of Fractions is 1/3021703.Finally, GCF of Fractions for 89/359, 9162/8417 is 1/3021703.