Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 690/97,709/493
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 690,709
Greatest Common Factor of Numerators i.e. GCF of 690,709 is 1 .
LCM of Denominators means LCM of 97,493 as per the given fractions.
LCM of 97,493 is 47821 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 690,709
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 690
List of positive integer factors of 690 that divides 690 without a remainder.
1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Factors of 709
List of positive integer factors of 709 that divides 709 without a remainder.
1,709
Greatest Common Factor
We found the factors 690,709 . The biggest common factor number is the GCF number.
So the greatest common factor 690,709 is 1.
Lets's calculate LCM of 97,493
Given numbers has no common factors except 1. So, there LCM is their product i.e 47821
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47821
Therefore, the GCF of Fractions 690/97,709/493 is 1/47821
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 97,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,493) x common factors =1 x 1 = 1
LCM(97,493) = ( 97 × 493 ) / 1
LCM(97,493) = 47821 / 1
LCM(97,493) = 47821
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 690/97, 709/493?
Answer: GCF of Numerators as per given numbers 690/97, 709/493 is
GCF of Numerators i.e. for 690,709 is 1
LCM of denominators i.e. for 97,493 is 47821.
Thus, GCF of Fractions is 1/47821.Finally, GCF of Fractions for 690/97, 709/493 is 1/47821.