Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7525/281,9951/2790
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 7525,9951
Greatest Common Factor of Numerators i.e. GCF of 7525,9951 is 1 .
LCM of Denominators means LCM of 281,2790 as per the given fractions.
LCM of 281,2790 is 783990 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7525,9951
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7525
List of positive integer factors of 7525 that divides 7525 without a remainder.
1,5,7,25,35,43,175,215,301,1075,1505,7525
Factors of 9951
List of positive integer factors of 9951 that divides 9951 without a remainder.
1,3,31,93,107,321,3317,9951
Greatest Common Factor
We found the factors 7525,9951 . The biggest common factor number is the GCF number.
So the greatest common factor 7525,9951 is 1.
Lets's calculate LCM of 281,2790
Given numbers has no common factors except 1. So, there LCM is their product i.e 783990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/783990
Therefore, the GCF of Fractions 7525/281,9951/2790 is 1/783990
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 281,2790 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(281,2790) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(281,2790) x common factors =1 x 1 = 1
LCM(281,2790) = ( 281 × 2790 ) / 1
LCM(281,2790) = 783990 / 1
LCM(281,2790) = 783990
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 7525/281, 9951/2790?
Answer: GCF of Numerators as per given numbers 7525/281, 9951/2790 is
GCF of Numerators i.e. for 7525,9951 is 1
LCM of denominators i.e. for 281,2790 is 783990.
Thus, GCF of Fractions is 1/783990.Finally, GCF of Fractions for 7525/281, 9951/2790 is 1/783990.