Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 93/830,274/667
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 93,274
Greatest Common Factor of Numerators i.e. GCF of 93,274 is 1 .
LCM of Denominators means LCM of 830,667 as per the given fractions.
LCM of 830,667 is 553610 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 93,274
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 274
List of positive integer factors of 274 that divides 274 without a remainder.
1,2,137,274
Greatest Common Factor
We found the factors 93,274 . The biggest common factor number is the GCF number.
So the greatest common factor 93,274 is 1.
Lets's calculate LCM of 830,667
Given numbers has no common factors except 1. So, there LCM is their product i.e 553610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/553610
Therefore, the GCF of Fractions 93/830,274/667 is 1/553610
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 830,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(830,667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(830,667) x common factors =1 x 1 = 1
LCM(830,667) = ( 830 × 667 ) / 1
LCM(830,667) = 553610 / 1
LCM(830,667) = 553610
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 93/830, 274/667?
Answer: GCF of Numerators as per given numbers 93/830, 274/667 is
GCF of Numerators i.e. for 93,274 is 1
LCM of denominators i.e. for 830,667 is 553610.
Thus, GCF of Fractions is 1/553610.Finally, GCF of Fractions for 93/830, 274/667 is 1/553610.