Use our free GCF of Fractions Calculator tool to compute the GCF of 108/959, 695/909 i.e 1/871731 easily. The following is the detailed procedure to determine the greatest common factor of fractions 108/959, 695/909.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 108/959,695/909
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 108/959,695/909, numerators are 108,695
Denominators are 959,909
The GCF of 108,695 is 1 .
LCM of 959,909 is 871731.
The greatest common factor of 108/959,695/909 = [GCF of 108,695]/[LCM of 959,909]= 1/871731
Therefore, the GCF of 108/959,695/909 is 1/871731.
To find the highest common factor of 108,695, we have to find the factors of both numbers and list the highest common factor.
The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
The factors of 695 are 1, 5, 139, 695
The HCF of 108,695 is 1.
Lets's calculate GCF of 108,695
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 108
:1,2,3,4,6,9,12,18,27,36,54,108
Now, list down the factors of 695
:1,5,139,695
Greatest Common Factor
We found the factors 108,695 . The biggest common factor number is the GCF number.
So the greatest common factor 108,695 is 1.
Lets's calculate LCM of 959,909
Given numbers has no common factors except 1. So, there LCM is their product i.e 871731
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/871731
Therefore, the GCF of Fractions 108/959,695/909 is 1/871731
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 959,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(959,909) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(959,909) x common factors =1 x 1 = 1
LCM(959,909) = ( 959 × 909 ) / 1
LCM(959,909) = 871731 / 1
LCM(959,909) = 871731
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 108,695?
The HCF of 108,695 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 108/959, 695/909?
Answer: GCF of Numerators as per given numbers 108/959, 695/909 is
GCF of Numerators i.e. for 108,695 is 1
LCM of denominators i.e. for 959,909 is 871731.
Thus, GCF of Fractions is 1/871731.Finally, GCF of Fractions for 108/959, 695/909 is 1/871731.