Online GCD Calculator is useful to find the GCD of 274, 432, 741, 168 quickly. Get the easiest ways to solve the greatest common divisor of 274, 432, 741, 168 i.e 1 in different methods as follows.
Given Input numbers are 274, 432, 741, 168
In the factoring method, we have to find the divisors of all numbers
Divisors of 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 741 :
The positive integer divisors of 741 that completely divides 741 are.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
GCD of numbers is the greatest common divisor
So, the GCD (274, 432, 741, 168) = 1.
Given numbers are 274, 432, 741, 168
The list of prime factors of all numbers are
Prime factors of 274 are 2 x 137
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 741 are 3 x 13 x 19
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 274, 432, 741, 168
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(274, 432) = 59184
GCD(274, 432) = ( 274 x 432 ) / 59184
= 274 / 432
= 274
Step2:
LCM(2, 741) = 1482
GCD(2, 741) = ( 2 x 741 ) / 1482
= 2 / 741
= 2
Step3:
LCM(1, 168) = 168
GCD(1, 168) = ( 1 x 168 ) / 168
= 1 / 168
= 1
So, Greatest Common Divisor of 274, 432, 741, 168 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 274, 432, 741, 168
The greatest common divisor of numbers 274, 432, 741, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 432, 741, 168 is 1.
1. What is the GCD of 274, 432, 741, 168?
GCD of given numbers 274, 432, 741, 168 is 1
2. How to calculate the greatest common divisor of 274, 432, 741, 168?
We can find the highest common divisor of 274, 432, 741, 168 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 274, 432, 741, 168 i.e 1.
3. How can I use the GCD of 274, 432, 741, 168Calculator?
Out the numbers 274, 432, 741, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.