Use our free GCF of Fractions Calculator tool to compute the GCF of 36/494, 58/841, 715/830 i.e 1/172413410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/494, 58/841, 715/830.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/494,58/841,715/830
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 36/494,58/841,715/830, numerators are 36,58,715
Denominators are 494,841,830
The GCF of 36,58,715 is 1 .
LCM of 494,841,830 is 172413410.
The greatest common factor of 36/494,58/841,715/830 = [GCF of 36,58,715]/[LCM of 494,841,830]= 1/172413410
Therefore, the GCF of 36/494,58/841,715/830 is 1/172413410.
To find the highest common factor of 36,58,715, we have to find the factors of both numbers and list the highest common factor.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 58 are 1, 2, 29, 58
The factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715
The HCF of 36,58,715 is 1.
Lets's calculate GCF of 36,58,715
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 58
:1,2,29,58
Now, list down the factors of 715
:1,5,11,13,55,65,143,715
Greatest Common Factor
We found the factors 36,58,715 . The biggest common factor number is the GCF number.
So the greatest common factor 36,58,715 is 1.
Lets's calculate LCM of 494,841,830
2 | 494, 841, 830 |
247, 841, 415 |
∴ So the LCM of the given numbers is 2 x 247 x 841 x 415 = 172413410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/172413410
Therefore, the GCF of Fractions 36/494,58/841,715/830 is 1/172413410
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 494,841,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(494,841,830) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(494,841,830) x common factors =1 x 2 = 2
LCM(494,841,830) = ( 494 × 841 × 830 ) / 2
LCM(494,841,830) = 344826820 / 2
LCM(494,841,830) = 172413410
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 36,58,715?
The HCF of 36,58,715 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 36/494, 58/841, 715/830?
Answer: GCF of Numerators as per given numbers 36/494, 58/841, 715/830 is
GCF of Numerators i.e. for 36,58,715 is 1
LCM of denominators i.e. for 494,841,830 is 172413410.
Thus, GCF of Fractions is 1/172413410.Finally, GCF of Fractions for 36/494, 58/841, 715/830 is 1/172413410.