Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1129/581,1373/7740
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 1129,1373
Greatest Common Factor of Numerators i.e. GCF of 1129,1373 is 1 .
LCM of Denominators means LCM of 581,7740 as per the given fractions.
LCM of 581,7740 is 4496940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1129,1373
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1129
List of positive integer factors of 1129 that divides 1129 without a remainder.
1,1129
Factors of 1373
List of positive integer factors of 1373 that divides 1373 without a remainder.
1,1373
Greatest Common Factor
We found the factors 1129,1373 . The biggest common factor number is the GCF number.
So the greatest common factor 1129,1373 is 1.
Lets's calculate LCM of 581,7740
Given numbers has no common factors except 1. So, there LCM is their product i.e 4496940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4496940
Therefore, the GCF of Fractions 1129/581,1373/7740 is 1/4496940
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 581,7740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(581,7740) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(581,7740) x common factors =1 x 1 = 1
LCM(581,7740) = ( 581 × 7740 ) / 1
LCM(581,7740) = 4496940 / 1
LCM(581,7740) = 4496940
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 1129/581, 1373/7740?
Answer: GCF of Numerators as per given numbers 1129/581, 1373/7740 is
GCF of Numerators i.e. for 1129,1373 is 1
LCM of denominators i.e. for 581,7740 is 4496940.
Thus, GCF of Fractions is 1/4496940.Finally, GCF of Fractions for 1129/581, 1373/7740 is 1/4496940.