Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 925/351,334/117,883/321
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 925,334,883
Greatest Common Factor of Numerators i.e. GCF of 925,334,883 is 1 .
LCM of Denominators means LCM of 351,117,321 as per the given fractions.
LCM of 351,117,321 is 37557 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 925,334,883
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 925
List of positive integer factors of 925 that divides 925 without a remainder.
1,5,25,37,185,925
Factors of 334
List of positive integer factors of 334 that divides 334 without a remainder.
1,2,167,334
Factors of 883
List of positive integer factors of 883 that divides 883 without a remainder.
1,883
Greatest Common Factor
We found the factors 925,334,883 . The biggest common factor number is the GCF number.
So the greatest common factor 925,334,883 is 1.
Lets's calculate LCM of 351,117,321
3 | 351, 117, 321 |
3 | 117, 39, 107 |
13 | 13, 39, 107 |
1, 3, 107 |
∴ So the LCM of the given numbers is 3 x 3 x 13 x 1 x 3 x 107 = 37557
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37557
Therefore, the GCF of Fractions 925/351,334/117,883/321 is 1/37557
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 351,117,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(351,117,321) = 3
common factors(in case of two or more numbers have common factors) = 117
GCF(351,117,321) x common factors =3 x 117 = 351
LCM(351,117,321) = ( 351 × 117 × 321 ) / 351
LCM(351,117,321) = 13182507 / 351
LCM(351,117,321) = 37557
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 925/351, 334/117, 883/321?
Answer: GCF of Numerators as per given numbers 925/351, 334/117, 883/321 is
GCF of Numerators i.e. for 925,334,883 is 1
LCM of denominators i.e. for 351,117,321 is 37557.
Thus, GCF of Fractions is 1/37557.Finally, GCF of Fractions for 925/351, 334/117, 883/321 is 1/37557.