Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 868/917,7070/320
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 868,7070
Greatest Common Factor of Numerators i.e. GCF of 868,7070 is 14 .
LCM of Denominators means LCM of 917,320 as per the given fractions.
LCM of 917,320 is 293440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 868,7070
2 | 868, 7070 |
7 | 434, 3535 |
62, 505 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Factors of 868
List of positive integer factors of 868 that divides 868 without a remainder.
1,2,4,7,14,28,31,62,124,217,434,868
Factors of 7070
List of positive integer factors of 7070 that divides 7070 without a remainder.
1,2,5,7,10,14,35,70,101,202,505,707,1010,1414,3535,7070
Greatest Common Factor
We found the factors 868,7070 . The biggest common factor number is the GCF number.
So the greatest common factor 868,7070 is 14.
Lets's calculate LCM of 917,320
Given numbers has no common factors except 1. So, there LCM is their product i.e 293440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/293440
Therefore, the GCF of Fractions 868/917,7070/320 is 14/293440
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 917,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(917,320) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(917,320) x common factors =1 x 1 = 1
LCM(917,320) = ( 917 × 320 ) / 1
LCM(917,320) = 293440 / 1
LCM(917,320) = 293440
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 868/917, 7070/320?
Answer: GCF of Numerators as per given numbers 868/917, 7070/320 is
GCF of Numerators i.e. for 868,7070 is 14
LCM of denominators i.e. for 917,320 is 293440.
Thus, GCF of Fractions is 14/293440.Finally, GCF of Fractions for 868/917, 7070/320 is 14/293440.