Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 75/498,741/212,559/654
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 75,741,559
Greatest Common Factor of Numerators i.e. GCF of 75,741,559 is 1 .
LCM of Denominators means LCM of 498,212,654 as per the given fractions.
LCM of 498,212,654 is 5753892 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 75,741,559
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 741
List of positive integer factors of 741 that divides 741 without a remainder.
1,3,13,19,39,57,247,741
Factors of 559
List of positive integer factors of 559 that divides 559 without a remainder.
1,13,43,559
Greatest Common Factor
We found the factors 75,741,559 . The biggest common factor number is the GCF number.
So the greatest common factor 75,741,559 is 1.
Lets's calculate LCM of 498,212,654
2 | 498, 212, 654 |
3 | 249, 106, 327 |
83, 106, 109 |
∴ So the LCM of the given numbers is 2 x 3 x 83 x 106 x 109 = 5753892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5753892
Therefore, the GCF of Fractions 75/498,741/212,559/654 is 1/5753892
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 498,212,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,212,654) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(498,212,654) x common factors =2 x 6 = 12
LCM(498,212,654) = ( 498 × 212 × 654 ) / 12
LCM(498,212,654) = 69046704 / 12
LCM(498,212,654) = 5753892
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 75/498, 741/212, 559/654?
Answer: GCF of Numerators as per given numbers 75/498, 741/212, 559/654 is
GCF of Numerators i.e. for 75,741,559 is 1
LCM of denominators i.e. for 498,212,654 is 5753892.
Thus, GCF of Fractions is 1/5753892.Finally, GCF of Fractions for 75/498, 741/212, 559/654 is 1/5753892.