Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 865/77,170/9897
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 865,170
Greatest Common Factor of Numerators i.e. GCF of 865,170 is 5 .
LCM of Denominators means LCM of 77,9897 as per the given fractions.
LCM of 77,9897 is 762069 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 865,170
5 | 865, 170 |
173, 34 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 865
List of positive integer factors of 865 that divides 865 without a remainder.
1,5,173,865
Factors of 170
List of positive integer factors of 170 that divides 170 without a remainder.
1,2,5,10,17,34,85,170
Greatest Common Factor
We found the factors 865,170 . The biggest common factor number is the GCF number.
So the greatest common factor 865,170 is 5.
Lets's calculate LCM of 77,9897
Given numbers has no common factors except 1. So, there LCM is their product i.e 762069
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/762069
Therefore, the GCF of Fractions 865/77,170/9897 is 5/762069
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 77,9897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,9897) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,9897) x common factors =1 x 1 = 1
LCM(77,9897) = ( 77 × 9897 ) / 1
LCM(77,9897) = 762069 / 1
LCM(77,9897) = 762069
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 865/77, 170/9897?
Answer: GCF of Numerators as per given numbers 865/77, 170/9897 is
GCF of Numerators i.e. for 865,170 is 5
LCM of denominators i.e. for 77,9897 is 762069.
Thus, GCF of Fractions is 5/762069.Finally, GCF of Fractions for 865/77, 170/9897 is 5/762069.