Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7377/881,1520/4971
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 7377,1520
Greatest Common Factor of Numerators i.e. GCF of 7377,1520 is 1 .
LCM of Denominators means LCM of 881,4971 as per the given fractions.
LCM of 881,4971 is 4379451 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7377,1520
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7377
List of positive integer factors of 7377 that divides 7377 without a remainder.
1,3,2459,7377
Factors of 1520
List of positive integer factors of 1520 that divides 1520 without a remainder.
1,2,4,5,8,10,16,19,20,38,40,76,80,95,152,190,304,380,760,1520
Greatest Common Factor
We found the factors 7377,1520 . The biggest common factor number is the GCF number.
So the greatest common factor 7377,1520 is 1.
Lets's calculate LCM of 881,4971
Given numbers has no common factors except 1. So, there LCM is their product i.e 4379451
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4379451
Therefore, the GCF of Fractions 7377/881,1520/4971 is 1/4379451
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 881,4971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(881,4971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(881,4971) x common factors =1 x 1 = 1
LCM(881,4971) = ( 881 × 4971 ) / 1
LCM(881,4971) = 4379451 / 1
LCM(881,4971) = 4379451
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 7377/881, 1520/4971?
Answer: GCF of Numerators as per given numbers 7377/881, 1520/4971 is
GCF of Numerators i.e. for 7377,1520 is 1
LCM of denominators i.e. for 881,4971 is 4379451.
Thus, GCF of Fractions is 1/4379451.Finally, GCF of Fractions for 7377/881, 1520/4971 is 1/4379451.