Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 880/790,2214/686
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 880,2214
Greatest Common Factor of Numerators i.e. GCF of 880,2214 is 2 .
LCM of Denominators means LCM of 790,686 as per the given fractions.
LCM of 790,686 is 270970 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 880,2214
2 | 880, 2214 |
440, 1107 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 880
List of positive integer factors of 880 that divides 880 without a remainder.
1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Factors of 2214
List of positive integer factors of 2214 that divides 2214 without a remainder.
1,2,3,6,9,18,27,41,54,82,123,246,369,738,1107,2214
Greatest Common Factor
We found the factors 880,2214 . The biggest common factor number is the GCF number.
So the greatest common factor 880,2214 is 2.
Lets's calculate LCM of 790,686
2 | 790, 686 |
395, 343 |
∴ So the LCM of the given numbers is 2 x 395 x 343 = 270970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/270970
Therefore, the GCF of Fractions 880/790,2214/686 is 2/270970
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 790,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(790,686) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(790,686) x common factors =2 x 1 = 2
LCM(790,686) = ( 790 × 686 ) / 2
LCM(790,686) = 541940 / 2
LCM(790,686) = 270970
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 880/790, 2214/686?
Answer: GCF of Numerators as per given numbers 880/790, 2214/686 is
GCF of Numerators i.e. for 880,2214 is 2
LCM of denominators i.e. for 790,686 is 270970.
Thus, GCF of Fractions is 2/270970.Finally, GCF of Fractions for 880/790, 2214/686 is 2/270970.