Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7325/673,9754/731
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 7325,9754
Greatest Common Factor of Numerators i.e. GCF of 7325,9754 is 1 .
LCM of Denominators means LCM of 673,731 as per the given fractions.
LCM of 673,731 is 491963 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7325,9754
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7325
List of positive integer factors of 7325 that divides 7325 without a remainder.
1,5,25,293,1465,7325
Factors of 9754
List of positive integer factors of 9754 that divides 9754 without a remainder.
1,2,4877,9754
Greatest Common Factor
We found the factors 7325,9754 . The biggest common factor number is the GCF number.
So the greatest common factor 7325,9754 is 1.
Lets's calculate LCM of 673,731
Given numbers has no common factors except 1. So, there LCM is their product i.e 491963
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/491963
Therefore, the GCF of Fractions 7325/673,9754/731 is 1/491963
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 673,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(673,731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(673,731) x common factors =1 x 1 = 1
LCM(673,731) = ( 673 × 731 ) / 1
LCM(673,731) = 491963 / 1
LCM(673,731) = 491963
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 7325/673, 9754/731?
Answer: GCF of Numerators as per given numbers 7325/673, 9754/731 is
GCF of Numerators i.e. for 7325,9754 is 1
LCM of denominators i.e. for 673,731 is 491963.
Thus, GCF of Fractions is 1/491963.Finally, GCF of Fractions for 7325/673, 9754/731 is 1/491963.