Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 514/89,523/99,772/164
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 514,523,772
Greatest Common Factor of Numerators i.e. GCF of 514,523,772 is 1 .
LCM of Denominators means LCM of 89,99,164 as per the given fractions.
LCM of 89,99,164 is 1445004 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 514,523,772
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 514
List of positive integer factors of 514 that divides 514 without a remainder.
1,2,257,514
Factors of 523
List of positive integer factors of 523 that divides 523 without a remainder.
1,523
Factors of 772
List of positive integer factors of 772 that divides 772 without a remainder.
1,2,4,193,386,772
Greatest Common Factor
We found the factors 514,523,772 . The biggest common factor number is the GCF number.
So the greatest common factor 514,523,772 is 1.
Lets's calculate LCM of 89,99,164
Given numbers has no common factors except 1. So, there LCM is their product i.e 1445004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1445004
Therefore, the GCF of Fractions 514/89,523/99,772/164 is 1/1445004
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 89,99,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,99,164) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,99,164) x common factors =1 x 1 = 1
LCM(89,99,164) = ( 89 × 99 × 164 ) / 1
LCM(89,99,164) = 1445004 / 1
LCM(89,99,164) = 1445004
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 514/89, 523/99, 772/164?
Answer: GCF of Numerators as per given numbers 514/89, 523/99, 772/164 is
GCF of Numerators i.e. for 514,523,772 is 1
LCM of denominators i.e. for 89,99,164 is 1445004.
Thus, GCF of Fractions is 1/1445004.Finally, GCF of Fractions for 514/89, 523/99, 772/164 is 1/1445004.