Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 651/75,396/59,332/592
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 651,396,332
Greatest Common Factor of Numerators i.e. GCF of 651,396,332 is 1 .
LCM of Denominators means LCM of 75,59,592 as per the given fractions.
LCM of 75,59,592 is 2619600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 651,396,332
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 651
List of positive integer factors of 651 that divides 651 without a remainder.
1,3,7,21,31,93,217,651
Factors of 396
List of positive integer factors of 396 that divides 396 without a remainder.
1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Factors of 332
List of positive integer factors of 332 that divides 332 without a remainder.
1,2,4,83,166,332
Greatest Common Factor
We found the factors 651,396,332 . The biggest common factor number is the GCF number.
So the greatest common factor 651,396,332 is 1.
Lets's calculate LCM of 75,59,592
Given numbers has no common factors except 1. So, there LCM is their product i.e 2619600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2619600
Therefore, the GCF of Fractions 651/75,396/59,332/592 is 1/2619600
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 75,59,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,59,592) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,59,592) x common factors =1 x 1 = 1
LCM(75,59,592) = ( 75 × 59 × 592 ) / 1
LCM(75,59,592) = 2619600 / 1
LCM(75,59,592) = 2619600
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 651/75, 396/59, 332/592?
Answer: GCF of Numerators as per given numbers 651/75, 396/59, 332/592 is
GCF of Numerators i.e. for 651,396,332 is 1
LCM of denominators i.e. for 75,59,592 is 2619600.
Thus, GCF of Fractions is 1/2619600.Finally, GCF of Fractions for 651/75, 396/59, 332/592 is 1/2619600.