Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6880/368,6560/8116
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 6880,6560
Greatest Common Factor of Numerators i.e. GCF of 6880,6560 is 160 .
LCM of Denominators means LCM of 368,8116 as per the given fractions.
LCM of 368,8116 is 746672 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6880,6560
2 | 6880, 6560 |
2 | 3440, 3280 |
2 | 1720, 1640 |
2 | 860, 820 |
2 | 430, 410 |
5 | 215, 205 |
43, 41 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 5 = 160
Factors of 6880
List of positive integer factors of 6880 that divides 6880 without a remainder.
1,2,4,5,8,10,16,20,32,40,43,80,86,160,172,215,344,430,688,860,1376,1720,3440,6880
Factors of 6560
List of positive integer factors of 6560 that divides 6560 without a remainder.
1,2,4,5,8,10,16,20,32,40,41,80,82,160,164,205,328,410,656,820,1312,1640,3280,6560
Greatest Common Factor
We found the factors 6880,6560 . The biggest common factor number is the GCF number.
So the greatest common factor 6880,6560 is 160.
Lets's calculate LCM of 368,8116
2 | 368, 8116 |
2 | 184, 4058 |
92, 2029 |
∴ So the LCM of the given numbers is 2 x 2 x 92 x 2029 = 746672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 160/746672
Therefore, the GCF of Fractions 6880/368,6560/8116 is 160/746672
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 368,8116 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,8116) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(368,8116) x common factors =4 x 1 = 4
LCM(368,8116) = ( 368 × 8116 ) / 4
LCM(368,8116) = 2986688 / 4
LCM(368,8116) = 746672
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 6880/368, 6560/8116?
Answer: GCF of Numerators as per given numbers 6880/368, 6560/8116 is
GCF of Numerators i.e. for 6880,6560 is 160
LCM of denominators i.e. for 368,8116 is 746672.
Thus, GCF of Fractions is 160/746672.Finally, GCF of Fractions for 6880/368, 6560/8116 is 160/746672.