Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 778/52,745/96,963/309
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 778,745,963
Greatest Common Factor of Numerators i.e. GCF of 778,745,963 is 1 .
LCM of Denominators means LCM of 52,96,309 as per the given fractions.
LCM of 52,96,309 is 128544 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 778,745,963
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 778
List of positive integer factors of 778 that divides 778 without a remainder.
1,2,389,778
Factors of 745
List of positive integer factors of 745 that divides 745 without a remainder.
1,5,149,745
Factors of 963
List of positive integer factors of 963 that divides 963 without a remainder.
1,3,9,107,321,963
Greatest Common Factor
We found the factors 778,745,963 . The biggest common factor number is the GCF number.
So the greatest common factor 778,745,963 is 1.
Lets's calculate LCM of 52,96,309
2 | 52, 96, 309 |
2 | 26, 48, 309 |
3 | 13, 24, 309 |
13, 8, 103 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 8 x 103 = 128544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128544
Therefore, the GCF of Fractions 778/52,745/96,963/309 is 1/128544
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 52,96,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,96,309) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(52,96,309) x common factors =1 x 12 = 12
LCM(52,96,309) = ( 52 × 96 × 309 ) / 12
LCM(52,96,309) = 1542528 / 12
LCM(52,96,309) = 128544
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 778/52, 745/96, 963/309?
Answer: GCF of Numerators as per given numbers 778/52, 745/96, 963/309 is
GCF of Numerators i.e. for 778,745,963 is 1
LCM of denominators i.e. for 52,96,309 is 128544.
Thus, GCF of Fractions is 1/128544.Finally, GCF of Fractions for 778/52, 745/96, 963/309 is 1/128544.