Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3440/509,3014/607
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 3440,3014
Greatest Common Factor of Numerators i.e. GCF of 3440,3014 is 2 .
LCM of Denominators means LCM of 509,607 as per the given fractions.
LCM of 509,607 is 308963 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3440,3014
2 | 3440, 3014 |
1720, 1507 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3440
List of positive integer factors of 3440 that divides 3440 without a remainder.
1,2,4,5,8,10,16,20,40,43,80,86,172,215,344,430,688,860,1720,3440
Factors of 3014
List of positive integer factors of 3014 that divides 3014 without a remainder.
1,2,11,22,137,274,1507,3014
Greatest Common Factor
We found the factors 3440,3014 . The biggest common factor number is the GCF number.
So the greatest common factor 3440,3014 is 2.
Lets's calculate LCM of 509,607
Given numbers has no common factors except 1. So, there LCM is their product i.e 308963
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/308963
Therefore, the GCF of Fractions 3440/509,3014/607 is 2/308963
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 509,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,607) x common factors =1 x 1 = 1
LCM(509,607) = ( 509 × 607 ) / 1
LCM(509,607) = 308963 / 1
LCM(509,607) = 308963
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 3440/509, 3014/607?
Answer: GCF of Numerators as per given numbers 3440/509, 3014/607 is
GCF of Numerators i.e. for 3440,3014 is 2
LCM of denominators i.e. for 509,607 is 308963.
Thus, GCF of Fractions is 2/308963.Finally, GCF of Fractions for 3440/509, 3014/607 is 2/308963.