Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7765/69,7991/173
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 7765,7991
Greatest Common Factor of Numerators i.e. GCF of 7765,7991 is 1 .
LCM of Denominators means LCM of 69,173 as per the given fractions.
LCM of 69,173 is 11937 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7765,7991
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7765
List of positive integer factors of 7765 that divides 7765 without a remainder.
1,5,1553,7765
Factors of 7991
List of positive integer factors of 7991 that divides 7991 without a remainder.
1,61,131,7991
Greatest Common Factor
We found the factors 7765,7991 . The biggest common factor number is the GCF number.
So the greatest common factor 7765,7991 is 1.
Lets's calculate LCM of 69,173
Given numbers has no common factors except 1. So, there LCM is their product i.e 11937
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11937
Therefore, the GCF of Fractions 7765/69,7991/173 is 1/11937
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 69,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,173) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,173) x common factors =1 x 1 = 1
LCM(69,173) = ( 69 × 173 ) / 1
LCM(69,173) = 11937 / 1
LCM(69,173) = 11937
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 7765/69, 7991/173?
Answer: GCF of Numerators as per given numbers 7765/69, 7991/173 is
GCF of Numerators i.e. for 7765,7991 is 1
LCM of denominators i.e. for 69,173 is 11937.
Thus, GCF of Fractions is 1/11937.Finally, GCF of Fractions for 7765/69, 7991/173 is 1/11937.