Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2351/129,5320/9699
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 2351,5320
Greatest Common Factor of Numerators i.e. GCF of 2351,5320 is 1 .
LCM of Denominators means LCM of 129,9699 as per the given fractions.
LCM of 129,9699 is 417057 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2351,5320
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2351
List of positive integer factors of 2351 that divides 2351 without a remainder.
1,2351
Factors of 5320
List of positive integer factors of 5320 that divides 5320 without a remainder.
1,2,4,5,7,8,10,14,19,20,28,35,38,40,56,70,76,95,133,140,152,190,266,280,380,532,665,760,1064,1330,2660,5320
Greatest Common Factor
We found the factors 2351,5320 . The biggest common factor number is the GCF number.
So the greatest common factor 2351,5320 is 1.
Lets's calculate LCM of 129,9699
3 | 129, 9699 |
43, 3233 |
∴ So the LCM of the given numbers is 3 x 43 x 3233 = 417057
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/417057
Therefore, the GCF of Fractions 2351/129,5320/9699 is 1/417057
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 129,9699 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,9699) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(129,9699) x common factors =3 x 1 = 3
LCM(129,9699) = ( 129 × 9699 ) / 3
LCM(129,9699) = 1251171 / 3
LCM(129,9699) = 417057
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 2351/129, 5320/9699?
Answer: GCF of Numerators as per given numbers 2351/129, 5320/9699 is
GCF of Numerators i.e. for 2351,5320 is 1
LCM of denominators i.e. for 129,9699 is 417057.
Thus, GCF of Fractions is 1/417057.Finally, GCF of Fractions for 2351/129, 5320/9699 is 1/417057.