Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7214/116,2064/3495
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 7214,2064
Greatest Common Factor of Numerators i.e. GCF of 7214,2064 is 2 .
LCM of Denominators means LCM of 116,3495 as per the given fractions.
LCM of 116,3495 is 405420 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7214,2064
2 | 7214, 2064 |
3607, 1032 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7214
List of positive integer factors of 7214 that divides 7214 without a remainder.
1,2,3607,7214
Factors of 2064
List of positive integer factors of 2064 that divides 2064 without a remainder.
1,2,3,4,6,8,12,16,24,43,48,86,129,172,258,344,516,688,1032,2064
Greatest Common Factor
We found the factors 7214,2064 . The biggest common factor number is the GCF number.
So the greatest common factor 7214,2064 is 2.
Lets's calculate LCM of 116,3495
Given numbers has no common factors except 1. So, there LCM is their product i.e 405420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/405420
Therefore, the GCF of Fractions 7214/116,2064/3495 is 2/405420
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 116,3495 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(116,3495) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(116,3495) x common factors =1 x 1 = 1
LCM(116,3495) = ( 116 × 3495 ) / 1
LCM(116,3495) = 405420 / 1
LCM(116,3495) = 405420
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 7214/116, 2064/3495?
Answer: GCF of Numerators as per given numbers 7214/116, 2064/3495 is
GCF of Numerators i.e. for 7214,2064 is 2
LCM of denominators i.e. for 116,3495 is 405420.
Thus, GCF of Fractions is 2/405420.Finally, GCF of Fractions for 7214/116, 2064/3495 is 2/405420.