Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 931/845,9125/321
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 931,9125
Greatest Common Factor of Numerators i.e. GCF of 931,9125 is 1 .
LCM of Denominators means LCM of 845,321 as per the given fractions.
LCM of 845,321 is 271245 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 931,9125
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 931
List of positive integer factors of 931 that divides 931 without a remainder.
1,7,19,49,133,931
Factors of 9125
List of positive integer factors of 9125 that divides 9125 without a remainder.
1,5,25,73,125,365,1825,9125
Greatest Common Factor
We found the factors 931,9125 . The biggest common factor number is the GCF number.
So the greatest common factor 931,9125 is 1.
Lets's calculate LCM of 845,321
Given numbers has no common factors except 1. So, there LCM is their product i.e 271245
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/271245
Therefore, the GCF of Fractions 931/845,9125/321 is 1/271245
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 845,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(845,321) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(845,321) x common factors =1 x 1 = 1
LCM(845,321) = ( 845 × 321 ) / 1
LCM(845,321) = 271245 / 1
LCM(845,321) = 271245
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 931/845, 9125/321?
Answer: GCF of Numerators as per given numbers 931/845, 9125/321 is
GCF of Numerators i.e. for 931,9125 is 1
LCM of denominators i.e. for 845,321 is 271245.
Thus, GCF of Fractions is 1/271245.Finally, GCF of Fractions for 931/845, 9125/321 is 1/271245.