Online GCD Calculator is useful to find the GCD of 742, 286, 446, 156 quickly. Get the easiest ways to solve the greatest common divisor of 742, 286, 446, 156 i.e 2 in different methods as follows.
Given Input numbers are 742, 286, 446, 156
In the factoring method, we have to find the divisors of all numbers
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 286 :
The positive integer divisors of 286 that completely divides 286 are.
1, 2, 11, 13, 22, 26, 143, 286
Divisors of 446 :
The positive integer divisors of 446 that completely divides 446 are.
1, 2, 223, 446
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
GCD of numbers is the greatest common divisor
So, the GCD (742, 286, 446, 156) = 2.
Given numbers are 742, 286, 446, 156
The list of prime factors of all numbers are
Prime factors of 742 are 2 x 7 x 53
Prime factors of 286 are 2 x 11 x 13
Prime factors of 446 are 2 x 223
Prime factors of 156 are 2 x 2 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 742, 286, 446, 156 is 2.
Given numbers are 742, 286, 446, 156
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(742, 286) = 106106
GCD(742, 286) = ( 742 x 286 ) / 106106
= 742 / 286
= 742
Step2:
LCM(2, 446) = 446
GCD(2, 446) = ( 2 x 446 ) / 446
= 2 / 446
= 2
Step3:
LCM(2, 156) = 156
GCD(2, 156) = ( 2 x 156 ) / 156
= 2 / 156
= 2
So, Greatest Common Divisor of 742, 286, 446, 156 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 742, 286, 446, 156
The greatest common divisor of numbers 742, 286, 446, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 286, 446, 156 is 2.
1. What is the GCD of 742, 286, 446, 156?
GCD of given numbers 742, 286, 446, 156 is 2
2. How to calculate the greatest common divisor of 742, 286, 446, 156?
We can find the highest common divisor of 742, 286, 446, 156 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 742, 286, 446, 156 i.e 2.
3. How can I use the GCD of 742, 286, 446, 156Calculator?
Out the numbers 742, 286, 446, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.