Use our free GCF of Fractions Calculator tool to compute the GCF of 71/35, 169/57, 802/369 i.e 1/245385 easily. The following is the detailed procedure to determine the greatest common factor of fractions 71/35, 169/57, 802/369.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 71/35,169/57,802/369
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 71/35,169/57,802/369, numerators are 71,169,802
Denominators are 35,57,369
The GCF of 71,169,802 is 1 .
LCM of 35,57,369 is 245385.
The greatest common factor of 71/35,169/57,802/369 = [GCF of 71,169,802]/[LCM of 35,57,369]= 1/245385
Therefore, the GCF of 71/35,169/57,802/369 is 1/245385.
To find the highest common factor of 71,169,802, we have to find the factors of both numbers and list the highest common factor.
The factors of 71 are 1, 71
The factors of 169 are 1, 13, 169
The factors of 802 are 1, 2, 401, 802
The HCF of 71,169,802 is 1.
Lets's calculate GCF of 71,169,802
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 71
:1,71
Now, list down the factors of 169
:1,13,169
Now, list down the factors of 802
:1,2,401,802
Greatest Common Factor
We found the factors 71,169,802 . The biggest common factor number is the GCF number.
So the greatest common factor 71,169,802 is 1.
Lets's calculate LCM of 35,57,369
3 | 35, 57, 369 |
35, 19, 123 |
∴ So the LCM of the given numbers is 3 x 35 x 19 x 123 = 245385
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/245385
Therefore, the GCF of Fractions 71/35,169/57,802/369 is 1/245385
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 35,57,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,57,369) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(35,57,369) x common factors =1 x 3 = 3
LCM(35,57,369) = ( 35 × 57 × 369 ) / 3
LCM(35,57,369) = 736155 / 3
LCM(35,57,369) = 245385
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 71,169,802?
The HCF of 71,169,802 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 71/35, 169/57, 802/369?
Answer: GCF of Numerators as per given numbers 71/35, 169/57, 802/369 is
GCF of Numerators i.e. for 71,169,802 is 1
LCM of denominators i.e. for 35,57,369 is 245385.
Thus, GCF of Fractions is 1/245385.Finally, GCF of Fractions for 71/35, 169/57, 802/369 is 1/245385.