Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9097/14,9204/765
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 9097,9204
Greatest Common Factor of Numerators i.e. GCF of 9097,9204 is 1 .
LCM of Denominators means LCM of 14,765 as per the given fractions.
LCM of 14,765 is 10710 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9097,9204
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9097
List of positive integer factors of 9097 that divides 9097 without a remainder.
1,11,827,9097
Factors of 9204
List of positive integer factors of 9204 that divides 9204 without a remainder.
1,2,3,4,6,12,13,26,39,52,59,78,118,156,177,236,354,708,767,1534,2301,3068,4602,9204
Greatest Common Factor
We found the factors 9097,9204 . The biggest common factor number is the GCF number.
So the greatest common factor 9097,9204 is 1.
Lets's calculate LCM of 14,765
Given numbers has no common factors except 1. So, there LCM is their product i.e 10710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10710
Therefore, the GCF of Fractions 9097/14,9204/765 is 1/10710
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 14,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,765) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(14,765) x common factors =1 x 1 = 1
LCM(14,765) = ( 14 × 765 ) / 1
LCM(14,765) = 10710 / 1
LCM(14,765) = 10710
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 9097/14, 9204/765?
Answer: GCF of Numerators as per given numbers 9097/14, 9204/765 is
GCF of Numerators i.e. for 9097,9204 is 1
LCM of denominators i.e. for 14,765 is 10710.
Thus, GCF of Fractions is 1/10710.Finally, GCF of Fractions for 9097/14, 9204/765 is 1/10710.