Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 967/587,7655/263
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 967,7655
Greatest Common Factor of Numerators i.e. GCF of 967,7655 is 1 .
LCM of Denominators means LCM of 587,263 as per the given fractions.
LCM of 587,263 is 154381 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 967,7655
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 967
List of positive integer factors of 967 that divides 967 without a remainder.
1,967
Factors of 7655
List of positive integer factors of 7655 that divides 7655 without a remainder.
1,5,1531,7655
Greatest Common Factor
We found the factors 967,7655 . The biggest common factor number is the GCF number.
So the greatest common factor 967,7655 is 1.
Lets's calculate LCM of 587,263
Given numbers has no common factors except 1. So, there LCM is their product i.e 154381
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/154381
Therefore, the GCF of Fractions 967/587,7655/263 is 1/154381
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 587,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(587,263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(587,263) x common factors =1 x 1 = 1
LCM(587,263) = ( 587 × 263 ) / 1
LCM(587,263) = 154381 / 1
LCM(587,263) = 154381
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 967/587, 7655/263?
Answer: GCF of Numerators as per given numbers 967/587, 7655/263 is
GCF of Numerators i.e. for 967,7655 is 1
LCM of denominators i.e. for 587,263 is 154381.
Thus, GCF of Fractions is 1/154381.Finally, GCF of Fractions for 967/587, 7655/263 is 1/154381.