Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9210/67,1691/869
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 9210,1691
Greatest Common Factor of Numerators i.e. GCF of 9210,1691 is 1 .
LCM of Denominators means LCM of 67,869 as per the given fractions.
LCM of 67,869 is 58223 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9210,1691
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9210
List of positive integer factors of 9210 that divides 9210 without a remainder.
1,2,3,5,6,10,15,30,307,614,921,1535,1842,3070,4605,9210
Factors of 1691
List of positive integer factors of 1691 that divides 1691 without a remainder.
1,19,89,1691
Greatest Common Factor
We found the factors 9210,1691 . The biggest common factor number is the GCF number.
So the greatest common factor 9210,1691 is 1.
Lets's calculate LCM of 67,869
Given numbers has no common factors except 1. So, there LCM is their product i.e 58223
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58223
Therefore, the GCF of Fractions 9210/67,1691/869 is 1/58223
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 67,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,869) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,869) x common factors =1 x 1 = 1
LCM(67,869) = ( 67 × 869 ) / 1
LCM(67,869) = 58223 / 1
LCM(67,869) = 58223
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 9210/67, 1691/869?
Answer: GCF of Numerators as per given numbers 9210/67, 1691/869 is
GCF of Numerators i.e. for 9210,1691 is 1
LCM of denominators i.e. for 67,869 is 58223.
Thus, GCF of Fractions is 1/58223.Finally, GCF of Fractions for 9210/67, 1691/869 is 1/58223.