Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2575/527,7127/2200
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 2575,7127
Greatest Common Factor of Numerators i.e. GCF of 2575,7127 is 1 .
LCM of Denominators means LCM of 527,2200 as per the given fractions.
LCM of 527,2200 is 1159400 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2575,7127
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2575
List of positive integer factors of 2575 that divides 2575 without a remainder.
1,5,25,103,515,2575
Factors of 7127
List of positive integer factors of 7127 that divides 7127 without a remainder.
1,7127
Greatest Common Factor
We found the factors 2575,7127 . The biggest common factor number is the GCF number.
So the greatest common factor 2575,7127 is 1.
Lets's calculate LCM of 527,2200
Given numbers has no common factors except 1. So, there LCM is their product i.e 1159400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1159400
Therefore, the GCF of Fractions 2575/527,7127/2200 is 1/1159400
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 527,2200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(527,2200) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(527,2200) x common factors =1 x 1 = 1
LCM(527,2200) = ( 527 × 2200 ) / 1
LCM(527,2200) = 1159400 / 1
LCM(527,2200) = 1159400
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 2575/527, 7127/2200?
Answer: GCF of Numerators as per given numbers 2575/527, 7127/2200 is
GCF of Numerators i.e. for 2575,7127 is 1
LCM of denominators i.e. for 527,2200 is 1159400.
Thus, GCF of Fractions is 1/1159400.Finally, GCF of Fractions for 2575/527, 7127/2200 is 1/1159400.