Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 532/7532,795/9747
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 532,795
Greatest Common Factor of Numerators i.e. GCF of 532,795 is 1 .
LCM of Denominators means LCM of 7532,9747 as per the given fractions.
LCM of 7532,9747 is 73414404 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 532,795
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Factors of 795
List of positive integer factors of 795 that divides 795 without a remainder.
1,3,5,15,53,159,265,795
Greatest Common Factor
We found the factors 532,795 . The biggest common factor number is the GCF number.
So the greatest common factor 532,795 is 1.
Lets's calculate LCM of 7532,9747
Given numbers has no common factors except 1. So, there LCM is their product i.e 73414404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73414404
Therefore, the GCF of Fractions 532/7532,795/9747 is 1/73414404
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 7532,9747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7532,9747) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7532,9747) x common factors =1 x 1 = 1
LCM(7532,9747) = ( 7532 × 9747 ) / 1
LCM(7532,9747) = 73414404 / 1
LCM(7532,9747) = 73414404
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 532/7532, 795/9747?
Answer: GCF of Numerators as per given numbers 532/7532, 795/9747 is
GCF of Numerators i.e. for 532,795 is 1
LCM of denominators i.e. for 7532,9747 is 73414404.
Thus, GCF of Fractions is 1/73414404.Finally, GCF of Fractions for 532/7532, 795/9747 is 1/73414404.