Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3210/306,4531/9862
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 3210,4531
Greatest Common Factor of Numerators i.e. GCF of 3210,4531 is 1 .
LCM of Denominators means LCM of 306,9862 as per the given fractions.
LCM of 306,9862 is 1508886 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3210,4531
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3210
List of positive integer factors of 3210 that divides 3210 without a remainder.
1,2,3,5,6,10,15,30,107,214,321,535,642,1070,1605,3210
Factors of 4531
List of positive integer factors of 4531 that divides 4531 without a remainder.
1,23,197,4531
Greatest Common Factor
We found the factors 3210,4531 . The biggest common factor number is the GCF number.
So the greatest common factor 3210,4531 is 1.
Lets's calculate LCM of 306,9862
2 | 306, 9862 |
153, 4931 |
∴ So the LCM of the given numbers is 2 x 153 x 4931 = 1508886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1508886
Therefore, the GCF of Fractions 3210/306,4531/9862 is 1/1508886
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 306,9862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,9862) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(306,9862) x common factors =2 x 1 = 2
LCM(306,9862) = ( 306 × 9862 ) / 2
LCM(306,9862) = 3017772 / 2
LCM(306,9862) = 1508886
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 3210/306, 4531/9862?
Answer: GCF of Numerators as per given numbers 3210/306, 4531/9862 is
GCF of Numerators i.e. for 3210,4531 is 1
LCM of denominators i.e. for 306,9862 is 1508886.
Thus, GCF of Fractions is 1/1508886.Finally, GCF of Fractions for 3210/306, 4531/9862 is 1/1508886.