Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5315/78,1952/999
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 5315,1952
Greatest Common Factor of Numerators i.e. GCF of 5315,1952 is 1 .
LCM of Denominators means LCM of 78,999 as per the given fractions.
LCM of 78,999 is 25974 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5315,1952
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5315
List of positive integer factors of 5315 that divides 5315 without a remainder.
1,5,1063,5315
Factors of 1952
List of positive integer factors of 1952 that divides 1952 without a remainder.
1,2,4,8,16,32,61,122,244,488,976,1952
Greatest Common Factor
We found the factors 5315,1952 . The biggest common factor number is the GCF number.
So the greatest common factor 5315,1952 is 1.
Lets's calculate LCM of 78,999
3 | 78, 999 |
26, 333 |
∴ So the LCM of the given numbers is 3 x 26 x 333 = 25974
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25974
Therefore, the GCF of Fractions 5315/78,1952/999 is 1/25974
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 78,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,999) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(78,999) x common factors =3 x 1 = 3
LCM(78,999) = ( 78 × 999 ) / 3
LCM(78,999) = 77922 / 3
LCM(78,999) = 25974
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 5315/78, 1952/999?
Answer: GCF of Numerators as per given numbers 5315/78, 1952/999 is
GCF of Numerators i.e. for 5315,1952 is 1
LCM of denominators i.e. for 78,999 is 25974.
Thus, GCF of Fractions is 1/25974.Finally, GCF of Fractions for 5315/78, 1952/999 is 1/25974.