Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 772/989,301/590,856/469
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 772,301,856
Greatest Common Factor of Numerators i.e. GCF of 772,301,856 is 1 .
LCM of Denominators means LCM of 989,590,469 as per the given fractions.
LCM of 989,590,469 is 273666190 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 772,301,856
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 772
List of positive integer factors of 772 that divides 772 without a remainder.
1,2,4,193,386,772
Factors of 301
List of positive integer factors of 301 that divides 301 without a remainder.
1,7,43,301
Factors of 856
List of positive integer factors of 856 that divides 856 without a remainder.
1,2,4,8,107,214,428,856
Greatest Common Factor
We found the factors 772,301,856 . The biggest common factor number is the GCF number.
So the greatest common factor 772,301,856 is 1.
Lets's calculate LCM of 989,590,469
Given numbers has no common factors except 1. So, there LCM is their product i.e 273666190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/273666190
Therefore, the GCF of Fractions 772/989,301/590,856/469 is 1/273666190
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 989,590,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(989,590,469) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(989,590,469) x common factors =1 x 1 = 1
LCM(989,590,469) = ( 989 × 590 × 469 ) / 1
LCM(989,590,469) = 273666190 / 1
LCM(989,590,469) = 273666190
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 772/989, 301/590, 856/469?
Answer: GCF of Numerators as per given numbers 772/989, 301/590, 856/469 is
GCF of Numerators i.e. for 772,301,856 is 1
LCM of denominators i.e. for 989,590,469 is 273666190.
Thus, GCF of Fractions is 1/273666190.Finally, GCF of Fractions for 772/989, 301/590, 856/469 is 1/273666190.