Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6848/78,2188/865
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 6848,2188
Greatest Common Factor of Numerators i.e. GCF of 6848,2188 is 4 .
LCM of Denominators means LCM of 78,865 as per the given fractions.
LCM of 78,865 is 67470 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6848,2188
2 | 6848, 2188 |
2 | 3424, 1094 |
1712, 547 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 6848
List of positive integer factors of 6848 that divides 6848 without a remainder.
1,2,4,8,16,32,64,107,214,428,856,1712,3424,6848
Factors of 2188
List of positive integer factors of 2188 that divides 2188 without a remainder.
1,2,4,547,1094,2188
Greatest Common Factor
We found the factors 6848,2188 . The biggest common factor number is the GCF number.
So the greatest common factor 6848,2188 is 4.
Lets's calculate LCM of 78,865
Given numbers has no common factors except 1. So, there LCM is their product i.e 67470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/67470
Therefore, the GCF of Fractions 6848/78,2188/865 is 4/67470
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 78,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,865) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(78,865) x common factors =1 x 1 = 1
LCM(78,865) = ( 78 × 865 ) / 1
LCM(78,865) = 67470 / 1
LCM(78,865) = 67470
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 6848/78, 2188/865?
Answer: GCF of Numerators as per given numbers 6848/78, 2188/865 is
GCF of Numerators i.e. for 6848,2188 is 4
LCM of denominators i.e. for 78,865 is 67470.
Thus, GCF of Fractions is 4/67470.Finally, GCF of Fractions for 6848/78, 2188/865 is 4/67470.