Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7001/493,7113/6758
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 7001,7113
Greatest Common Factor of Numerators i.e. GCF of 7001,7113 is 1 .
LCM of Denominators means LCM of 493,6758 as per the given fractions.
LCM of 493,6758 is 3331694 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7001,7113
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7001
List of positive integer factors of 7001 that divides 7001 without a remainder.
1,7001
Factors of 7113
List of positive integer factors of 7113 that divides 7113 without a remainder.
1,3,2371,7113
Greatest Common Factor
We found the factors 7001,7113 . The biggest common factor number is the GCF number.
So the greatest common factor 7001,7113 is 1.
Lets's calculate LCM of 493,6758
Given numbers has no common factors except 1. So, there LCM is their product i.e 3331694
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3331694
Therefore, the GCF of Fractions 7001/493,7113/6758 is 1/3331694
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 493,6758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(493,6758) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(493,6758) x common factors =1 x 1 = 1
LCM(493,6758) = ( 493 × 6758 ) / 1
LCM(493,6758) = 3331694 / 1
LCM(493,6758) = 3331694
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 7001/493, 7113/6758?
Answer: GCF of Numerators as per given numbers 7001/493, 7113/6758 is
GCF of Numerators i.e. for 7001,7113 is 1
LCM of denominators i.e. for 493,6758 is 3331694.
Thus, GCF of Fractions is 1/3331694.Finally, GCF of Fractions for 7001/493, 7113/6758 is 1/3331694.