Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6880/909,1265/1057
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 6880,1265
Greatest Common Factor of Numerators i.e. GCF of 6880,1265 is 5 .
LCM of Denominators means LCM of 909,1057 as per the given fractions.
LCM of 909,1057 is 960813 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6880,1265
5 | 6880, 1265 |
1376, 253 |
∴ So the GCF of the given numbers is 5 = 5
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 1265
List of positive integer factors of 1265 that divides 1265 without a remainder.
1,5,11,23,55,115,253,1265
Greatest Common Factor
We found the factors 6880,1265 . The biggest common factor number is the GCF number.
So the greatest common factor 6880,1265 is 5.
Lets's calculate LCM of 909,1057
Given numbers has no common factors except 1. So, there LCM is their product i.e 960813
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/960813
Therefore, the GCF of Fractions 6880/909,1265/1057 is 5/960813
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 909,1057 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(909,1057) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(909,1057) x common factors =1 x 1 = 1
LCM(909,1057) = ( 909 × 1057 ) / 1
LCM(909,1057) = 960813 / 1
LCM(909,1057) = 960813
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 6880/909, 1265/1057?
Answer: GCF of Numerators as per given numbers 6880/909, 1265/1057 is
GCF of Numerators i.e. for 6880,1265 is 5
LCM of denominators i.e. for 909,1057 is 960813.
Thus, GCF of Fractions is 5/960813.Finally, GCF of Fractions for 6880/909, 1265/1057 is 5/960813.