Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 788/58,984/14,626/837
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 788,984,626
Greatest Common Factor of Numerators i.e. GCF of 788,984,626 is 2 .
LCM of Denominators means LCM of 58,14,837 as per the given fractions.
LCM of 58,14,837 is 339822 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 788,984,626
2 | 788, 984, 626 |
394, 492, 313 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 788
List of positive integer factors of 788 that divides 788 without a remainder.
1,2,4,197,394,788
Factors of 984
List of positive integer factors of 984 that divides 984 without a remainder.
1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Greatest Common Factor
We found the factors 788,984,626 . The biggest common factor number is the GCF number.
So the greatest common factor 788,984,626 is 2.
Lets's calculate LCM of 58,14,837
2 | 58, 14, 837 |
29, 7, 837 |
∴ So the LCM of the given numbers is 2 x 29 x 7 x 837 = 339822
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/339822
Therefore, the GCF of Fractions 788/58,984/14,626/837 is 2/339822
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 58,14,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,14,837) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(58,14,837) x common factors =1 x 2 = 2
LCM(58,14,837) = ( 58 × 14 × 837 ) / 2
LCM(58,14,837) = 679644 / 2
LCM(58,14,837) = 339822
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 788/58, 984/14, 626/837?
Answer: GCF of Numerators as per given numbers 788/58, 984/14, 626/837 is
GCF of Numerators i.e. for 788,984,626 is 2
LCM of denominators i.e. for 58,14,837 is 339822.
Thus, GCF of Fractions is 2/339822.Finally, GCF of Fractions for 788/58, 984/14, 626/837 is 2/339822.