Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 322/139,7067/668
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 322,7067
Greatest Common Factor of Numerators i.e. GCF of 322,7067 is 1 .
LCM of Denominators means LCM of 139,668 as per the given fractions.
LCM of 139,668 is 92852 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 322,7067
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 322
List of positive integer factors of 322 that divides 322 without a remainder.
1,2,7,14,23,46,161,322
Factors of 7067
List of positive integer factors of 7067 that divides 7067 without a remainder.
1,37,191,7067
Greatest Common Factor
We found the factors 322,7067 . The biggest common factor number is the GCF number.
So the greatest common factor 322,7067 is 1.
Lets's calculate LCM of 139,668
Given numbers has no common factors except 1. So, there LCM is their product i.e 92852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92852
Therefore, the GCF of Fractions 322/139,7067/668 is 1/92852
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 139,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(139,668) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(139,668) x common factors =1 x 1 = 1
LCM(139,668) = ( 139 × 668 ) / 1
LCM(139,668) = 92852 / 1
LCM(139,668) = 92852
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 322/139, 7067/668?
Answer: GCF of Numerators as per given numbers 322/139, 7067/668 is
GCF of Numerators i.e. for 322,7067 is 1
LCM of denominators i.e. for 139,668 is 92852.
Thus, GCF of Fractions is 1/92852.Finally, GCF of Fractions for 322/139, 7067/668 is 1/92852.