Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8370/166,3278/1556
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 8370,3278
Greatest Common Factor of Numerators i.e. GCF of 8370,3278 is 2 .
LCM of Denominators means LCM of 166,1556 as per the given fractions.
LCM of 166,1556 is 129148 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8370,3278
2 | 8370, 3278 |
4185, 1639 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8370
List of positive integer factors of 8370 that divides 8370 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,31,45,54,62,90,93,135,155,186,270,279,310,465,558,837,930,1395,1674,2790,4185,8370
Factors of 3278
List of positive integer factors of 3278 that divides 3278 without a remainder.
1,2,11,22,149,298,1639,3278
Greatest Common Factor
We found the factors 8370,3278 . The biggest common factor number is the GCF number.
So the greatest common factor 8370,3278 is 2.
Lets's calculate LCM of 166,1556
2 | 166, 1556 |
83, 778 |
∴ So the LCM of the given numbers is 2 x 83 x 778 = 129148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/129148
Therefore, the GCF of Fractions 8370/166,3278/1556 is 2/129148
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 166,1556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(166,1556) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(166,1556) x common factors =2 x 1 = 2
LCM(166,1556) = ( 166 × 1556 ) / 2
LCM(166,1556) = 258296 / 2
LCM(166,1556) = 129148
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 8370/166, 3278/1556?
Answer: GCF of Numerators as per given numbers 8370/166, 3278/1556 is
GCF of Numerators i.e. for 8370,3278 is 2
LCM of denominators i.e. for 166,1556 is 129148.
Thus, GCF of Fractions is 2/129148.Finally, GCF of Fractions for 8370/166, 3278/1556 is 2/129148.