Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 259/331,1770/610
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 259,1770
Greatest Common Factor of Numerators i.e. GCF of 259,1770 is 1 .
LCM of Denominators means LCM of 331,610 as per the given fractions.
LCM of 331,610 is 201910 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 259,1770
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 259
List of positive integer factors of 259 that divides 259 without a remainder.
1,7,37,259
Factors of 1770
List of positive integer factors of 1770 that divides 1770 without a remainder.
1,2,3,5,6,10,15,30,59,118,177,295,354,590,885,1770
Greatest Common Factor
We found the factors 259,1770 . The biggest common factor number is the GCF number.
So the greatest common factor 259,1770 is 1.
Lets's calculate LCM of 331,610
Given numbers has no common factors except 1. So, there LCM is their product i.e 201910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/201910
Therefore, the GCF of Fractions 259/331,1770/610 is 1/201910
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 331,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,610) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(331,610) x common factors =1 x 1 = 1
LCM(331,610) = ( 331 × 610 ) / 1
LCM(331,610) = 201910 / 1
LCM(331,610) = 201910
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 259/331, 1770/610?
Answer: GCF of Numerators as per given numbers 259/331, 1770/610 is
GCF of Numerators i.e. for 259,1770 is 1
LCM of denominators i.e. for 331,610 is 201910.
Thus, GCF of Fractions is 1/201910.Finally, GCF of Fractions for 259/331, 1770/610 is 1/201910.