Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9516/69,4163/773
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 9516,4163
Greatest Common Factor of Numerators i.e. GCF of 9516,4163 is 1 .
LCM of Denominators means LCM of 69,773 as per the given fractions.
LCM of 69,773 is 53337 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9516,4163
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9516
List of positive integer factors of 9516 that divides 9516 without a remainder.
1,2,3,4,6,12,13,26,39,52,61,78,122,156,183,244,366,732,793,1586,2379,3172,4758,9516
Factors of 4163
List of positive integer factors of 4163 that divides 4163 without a remainder.
1,23,181,4163
Greatest Common Factor
We found the factors 9516,4163 . The biggest common factor number is the GCF number.
So the greatest common factor 9516,4163 is 1.
Lets's calculate LCM of 69,773
Given numbers has no common factors except 1. So, there LCM is their product i.e 53337
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53337
Therefore, the GCF of Fractions 9516/69,4163/773 is 1/53337
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 69,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,773) x common factors =1 x 1 = 1
LCM(69,773) = ( 69 × 773 ) / 1
LCM(69,773) = 53337 / 1
LCM(69,773) = 53337
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 9516/69, 4163/773?
Answer: GCF of Numerators as per given numbers 9516/69, 4163/773 is
GCF of Numerators i.e. for 9516,4163 is 1
LCM of denominators i.e. for 69,773 is 53337.
Thus, GCF of Fractions is 1/53337.Finally, GCF of Fractions for 9516/69, 4163/773 is 1/53337.