Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5092/144,7005/7949
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 5092,7005
Greatest Common Factor of Numerators i.e. GCF of 5092,7005 is 1 .
LCM of Denominators means LCM of 144,7949 as per the given fractions.
LCM of 144,7949 is 1144656 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5092,7005
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5092
List of positive integer factors of 5092 that divides 5092 without a remainder.
1,2,4,19,38,67,76,134,268,1273,2546,5092
Factors of 7005
List of positive integer factors of 7005 that divides 7005 without a remainder.
1,3,5,15,467,1401,2335,7005
Greatest Common Factor
We found the factors 5092,7005 . The biggest common factor number is the GCF number.
So the greatest common factor 5092,7005 is 1.
Lets's calculate LCM of 144,7949
Given numbers has no common factors except 1. So, there LCM is their product i.e 1144656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1144656
Therefore, the GCF of Fractions 5092/144,7005/7949 is 1/1144656
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 144,7949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(144,7949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(144,7949) x common factors =1 x 1 = 1
LCM(144,7949) = ( 144 × 7949 ) / 1
LCM(144,7949) = 1144656 / 1
LCM(144,7949) = 1144656
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 5092/144, 7005/7949?
Answer: GCF of Numerators as per given numbers 5092/144, 7005/7949 is
GCF of Numerators i.e. for 5092,7005 is 1
LCM of denominators i.e. for 144,7949 is 1144656.
Thus, GCF of Fractions is 1/1144656.Finally, GCF of Fractions for 5092/144, 7005/7949 is 1/1144656.