Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3420/62,1848/159
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 3420,1848
Greatest Common Factor of Numerators i.e. GCF of 3420,1848 is 12 .
LCM of Denominators means LCM of 62,159 as per the given fractions.
LCM of 62,159 is 9858 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3420,1848
2 | 3420, 1848 |
2 | 1710, 924 |
3 | 855, 462 |
285, 154 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 3420
List of positive integer factors of 3420 that divides 3420 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,19,20,30,36,38,45,57,60,76,90,95,114,171,180,190,228,285,342,380,570,684,855,1140,1710,3420
Factors of 1848
List of positive integer factors of 1848 that divides 1848 without a remainder.
1,2,3,4,6,7,8,11,12,14,21,22,24,28,33,42,44,56,66,77,84,88,132,154,168,231,264,308,462,616,924,1848
Greatest Common Factor
We found the factors 3420,1848 . The biggest common factor number is the GCF number.
So the greatest common factor 3420,1848 is 12.
Lets's calculate LCM of 62,159
Given numbers has no common factors except 1. So, there LCM is their product i.e 9858
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/9858
Therefore, the GCF of Fractions 3420/62,1848/159 is 12/9858
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 62,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(62,159) x common factors =1 x 1 = 1
LCM(62,159) = ( 62 × 159 ) / 1
LCM(62,159) = 9858 / 1
LCM(62,159) = 9858
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 3420/62, 1848/159?
Answer: GCF of Numerators as per given numbers 3420/62, 1848/159 is
GCF of Numerators i.e. for 3420,1848 is 12
LCM of denominators i.e. for 62,159 is 9858.
Thus, GCF of Fractions is 12/9858.Finally, GCF of Fractions for 3420/62, 1848/159 is 12/9858.