Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 93/45,803/59,544/577
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 93,803,544
Greatest Common Factor of Numerators i.e. GCF of 93,803,544 is 1 .
LCM of Denominators means LCM of 45,59,577 as per the given fractions.
LCM of 45,59,577 is 1531935 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 93,803,544
∴ 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 803
List of positive integer factors of 803 that divides 803 without a remainder.
1,11,73,803
Factors of 544
List of positive integer factors of 544 that divides 544 without a remainder.
1,2,4,8,16,17,32,34,68,136,272,544
Greatest Common Factor
We found the factors 93,803,544 . The biggest common factor number is the GCF number.
So the greatest common factor 93,803,544 is 1.
Lets's calculate LCM of 45,59,577
Given numbers has no common factors except 1. So, there LCM is their product i.e 1531935
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1531935
Therefore, the GCF of Fractions 93/45,803/59,544/577 is 1/1531935
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 45,59,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,59,577) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(45,59,577) x common factors =1 x 1 = 1
LCM(45,59,577) = ( 45 × 59 × 577 ) / 1
LCM(45,59,577) = 1531935 / 1
LCM(45,59,577) = 1531935
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 93/45, 803/59, 544/577?
Answer: GCF of Numerators as per given numbers 93/45, 803/59, 544/577 is
GCF of Numerators i.e. for 93,803,544 is 1
LCM of denominators i.e. for 45,59,577 is 1531935.
Thus, GCF of Fractions is 1/1531935.Finally, GCF of Fractions for 93/45, 803/59, 544/577 is 1/1531935.