Use our free GCF of Fractions Calculator tool to compute the GCF of 695/806, 210/872 i.e 5/351416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 695/806, 210/872.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 695/806,210/872
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 695/806,210/872, numerators are 695,210
Denominators are 806,872
The GCF of 695,210 is 5 .
LCM of 806,872 is 351416.
The greatest common factor of 695/806,210/872 = [GCF of 695,210]/[LCM of 806,872]= 5/351416
Therefore, the GCF of 695/806,210/872 is 5/351416.
To find the highest common factor of 695,210, we have to find the factors of both numbers and list the highest common factor.
The factors of 695 are 1, 5, 139, 695
The factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
The HCF of 695,210 is 5.
Lets's calculate GCF of 695,210
5 | 695, 210 |
139, 42 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 695
:1,5,139,695
Now, list down the factors of 210
:1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Greatest Common Factor
We found the factors 695,210 . The biggest common factor number is the GCF number.
So the greatest common factor 695,210 is 5.
Lets's calculate LCM of 806,872
2 | 806, 872 |
403, 436 |
∴ So the LCM of the given numbers is 2 x 403 x 436 = 351416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/351416
Therefore, the GCF of Fractions 695/806,210/872 is 5/351416
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 806,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,872) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(806,872) x common factors =2 x 1 = 2
LCM(806,872) = ( 806 × 872 ) / 2
LCM(806,872) = 702832 / 2
LCM(806,872) = 351416
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 695,210?
The HCF of 695,210 is 5
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 695/806, 210/872?
Answer: GCF of Numerators as per given numbers 695/806, 210/872 is
GCF of Numerators i.e. for 695,210 is 5
LCM of denominators i.e. for 806,872 is 351416.
Thus, GCF of Fractions is 5/351416.Finally, GCF of Fractions for 695/806, 210/872 is 5/351416.