Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 695/745,5607/1705
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 695,5607
Greatest Common Factor of Numerators i.e. GCF of 695,5607 is 1 .
LCM of Denominators means LCM of 745,1705 as per the given fractions.
LCM of 745,1705 is 254045 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 695,5607
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 695
List of positive integer factors of 695 that divides 695 without a remainder.
1,5,139,695
Factors of 5607
List of positive integer factors of 5607 that divides 5607 without a remainder.
1,3,7,9,21,63,89,267,623,801,1869,5607
Greatest Common Factor
We found the factors 695,5607 . The biggest common factor number is the GCF number.
So the greatest common factor 695,5607 is 1.
Lets's calculate LCM of 745,1705
5 | 745, 1705 |
149, 341 |
∴ So the LCM of the given numbers is 5 x 149 x 341 = 254045
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/254045
Therefore, the GCF of Fractions 695/745,5607/1705 is 1/254045
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 745,1705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(745,1705) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(745,1705) x common factors =5 x 1 = 5
LCM(745,1705) = ( 745 × 1705 ) / 5
LCM(745,1705) = 1270225 / 5
LCM(745,1705) = 254045
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 695/745, 5607/1705?
Answer: GCF of Numerators as per given numbers 695/745, 5607/1705 is
GCF of Numerators i.e. for 695,5607 is 1
LCM of denominators i.e. for 745,1705 is 254045.
Thus, GCF of Fractions is 1/254045.Finally, GCF of Fractions for 695/745, 5607/1705 is 1/254045.