Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1325/883,7215/3707
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 1325,7215
Greatest Common Factor of Numerators i.e. GCF of 1325,7215 is 5 .
LCM of Denominators means LCM of 883,3707 as per the given fractions.
LCM of 883,3707 is 3273281 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1325,7215
5 | 1325, 7215 |
265, 1443 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 1325
List of positive integer factors of 1325 that divides 1325 without a remainder.
1,5,25,53,265,1325
Factors of 7215
List of positive integer factors of 7215 that divides 7215 without a remainder.
1,3,5,13,15,37,39,65,111,185,195,481,555,1443,2405,7215
Greatest Common Factor
We found the factors 1325,7215 . The biggest common factor number is the GCF number.
So the greatest common factor 1325,7215 is 5.
Lets's calculate LCM of 883,3707
Given numbers has no common factors except 1. So, there LCM is their product i.e 3273281
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3273281
Therefore, the GCF of Fractions 1325/883,7215/3707 is 5/3273281
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 883,3707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,3707) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,3707) x common factors =1 x 1 = 1
LCM(883,3707) = ( 883 × 3707 ) / 1
LCM(883,3707) = 3273281 / 1
LCM(883,3707) = 3273281
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 1325/883, 7215/3707?
Answer: GCF of Numerators as per given numbers 1325/883, 7215/3707 is
GCF of Numerators i.e. for 1325,7215 is 5
LCM of denominators i.e. for 883,3707 is 3273281.
Thus, GCF of Fractions is 5/3273281.Finally, GCF of Fractions for 1325/883, 7215/3707 is 5/3273281.