Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 614/485,534/342,958/905
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 614,534,958
Greatest Common Factor of Numerators i.e. GCF of 614,534,958 is 2 .
LCM of Denominators means LCM of 485,342,905 as per the given fractions.
LCM of 485,342,905 is 30022470 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 614,534,958
2 | 614, 534, 958 |
307, 267, 479 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 614
List of positive integer factors of 614 that divides 614 without a remainder.
1,2,307,614
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
Factors of 958
List of positive integer factors of 958 that divides 958 without a remainder.
1,2,479,958
Greatest Common Factor
We found the factors 614,534,958 . The biggest common factor number is the GCF number.
So the greatest common factor 614,534,958 is 2.
Lets's calculate LCM of 485,342,905
5 | 485, 342, 905 |
97, 342, 181 |
∴ So the LCM of the given numbers is 5 x 97 x 342 x 181 = 30022470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30022470
Therefore, the GCF of Fractions 614/485,534/342,958/905 is 2/30022470
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 485,342,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(485,342,905) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(485,342,905) x common factors =1 x 5 = 5
LCM(485,342,905) = ( 485 × 342 × 905 ) / 5
LCM(485,342,905) = 150112350 / 5
LCM(485,342,905) = 30022470
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 614/485, 534/342, 958/905?
Answer: GCF of Numerators as per given numbers 614/485, 534/342, 958/905 is
GCF of Numerators i.e. for 614,534,958 is 2
LCM of denominators i.e. for 485,342,905 is 30022470.
Thus, GCF of Fractions is 2/30022470.Finally, GCF of Fractions for 614/485, 534/342, 958/905 is 2/30022470.