Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 241/58,274/65,603/735
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 241,274,603
Greatest Common Factor of Numerators i.e. GCF of 241,274,603 is 1 .
LCM of Denominators means LCM of 58,65,735 as per the given fractions.
LCM of 58,65,735 is 554190 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 241,274,603
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 241
List of positive integer factors of 241 that divides 241 without a remainder.
1,241
Factors of 274
List of positive integer factors of 274 that divides 274 without a remainder.
1,2,137,274
Factors of 603
List of positive integer factors of 603 that divides 603 without a remainder.
1,3,9,67,201,603
Greatest Common Factor
We found the factors 241,274,603 . The biggest common factor number is the GCF number.
So the greatest common factor 241,274,603 is 1.
Lets's calculate LCM of 58,65,735
5 | 58, 65, 735 |
58, 13, 147 |
∴ So the LCM of the given numbers is 5 x 58 x 13 x 147 = 554190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/554190
Therefore, the GCF of Fractions 241/58,274/65,603/735 is 1/554190
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 58,65,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,65,735) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(58,65,735) x common factors =1 x 5 = 5
LCM(58,65,735) = ( 58 × 65 × 735 ) / 5
LCM(58,65,735) = 2770950 / 5
LCM(58,65,735) = 554190
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 241/58, 274/65, 603/735?
Answer: GCF of Numerators as per given numbers 241/58, 274/65, 603/735 is
GCF of Numerators i.e. for 241,274,603 is 1
LCM of denominators i.e. for 58,65,735 is 554190.
Thus, GCF of Fractions is 1/554190.Finally, GCF of Fractions for 241/58, 274/65, 603/735 is 1/554190.