Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 890/97,295/1073
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 890,295
Greatest Common Factor of Numerators i.e. GCF of 890,295 is 5 .
LCM of Denominators means LCM of 97,1073 as per the given fractions.
LCM of 97,1073 is 104081 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 890,295
5 | 890, 295 |
178, 59 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 890
List of positive integer factors of 890 that divides 890 without a remainder.
1,2,5,10,89,178,445,890
Factors of 295
List of positive integer factors of 295 that divides 295 without a remainder.
1,5,59,295
Greatest Common Factor
We found the factors 890,295 . The biggest common factor number is the GCF number.
So the greatest common factor 890,295 is 5.
Lets's calculate LCM of 97,1073
Given numbers has no common factors except 1. So, there LCM is their product i.e 104081
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/104081
Therefore, the GCF of Fractions 890/97,295/1073 is 5/104081
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 97,1073 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,1073) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,1073) x common factors =1 x 1 = 1
LCM(97,1073) = ( 97 × 1073 ) / 1
LCM(97,1073) = 104081 / 1
LCM(97,1073) = 104081
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 890/97, 295/1073?
Answer: GCF of Numerators as per given numbers 890/97, 295/1073 is
GCF of Numerators i.e. for 890,295 is 5
LCM of denominators i.e. for 97,1073 is 104081.
Thus, GCF of Fractions is 5/104081.Finally, GCF of Fractions for 890/97, 295/1073 is 5/104081.