Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 534/444,7706/159
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 534,7706
Greatest Common Factor of Numerators i.e. GCF of 534,7706 is 2 .
LCM of Denominators means LCM of 444,159 as per the given fractions.
LCM of 444,159 is 23532 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 534,7706
2 | 534, 7706 |
267, 3853 |
∴ So the GCF of the given numbers is 2 = 2
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 7706
List of positive integer factors of 7706 that divides 7706 without a remainder.
1,2,3853,7706
Greatest Common Factor
We found the factors 534,7706 . The biggest common factor number is the GCF number.
So the greatest common factor 534,7706 is 2.
Lets's calculate LCM of 444,159
3 | 444, 159 |
148, 53 |
∴ So the LCM of the given numbers is 3 x 148 x 53 = 23532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23532
Therefore, the GCF of Fractions 534/444,7706/159 is 2/23532
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 444,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(444,159) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(444,159) x common factors =3 x 1 = 3
LCM(444,159) = ( 444 × 159 ) / 3
LCM(444,159) = 70596 / 3
LCM(444,159) = 23532
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 534/444, 7706/159?
Answer: GCF of Numerators as per given numbers 534/444, 7706/159 is
GCF of Numerators i.e. for 534,7706 is 2
LCM of denominators i.e. for 444,159 is 23532.
Thus, GCF of Fractions is 2/23532.Finally, GCF of Fractions for 534/444, 7706/159 is 2/23532.