Online GCD Calculator is useful to find the GCD of 938, 156, 49, 450 quickly. Get the easiest ways to solve the greatest common divisor of 938, 156, 49, 450 i.e 1 in different methods as follows.
Given Input numbers are 938, 156, 49, 450
In the factoring method, we have to find the divisors of all numbers
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
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
Divisors of 49 :
The positive integer divisors of 49 that completely divides 49 are.
1, 7, 49
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
GCD of numbers is the greatest common divisor
So, the GCD (938, 156, 49, 450) = 1.
Given numbers are 938, 156, 49, 450
The list of prime factors of all numbers are
Prime factors of 938 are 2 x 7 x 67
Prime factors of 156 are 2 x 2 x 3 x 13
Prime factors of 49 are 7 x 7
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 938, 156, 49, 450
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(938, 156) = 73164
GCD(938, 156) = ( 938 x 156 ) / 73164
= 938 / 156
= 938
Step2:
LCM(2, 49) = 98
GCD(2, 49) = ( 2 x 49 ) / 98
= 2 / 49
= 2
Step3:
LCM(1, 450) = 450
GCD(1, 450) = ( 1 x 450 ) / 450
= 1 / 450
= 1
So, Greatest Common Divisor of 938, 156, 49, 450 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 938, 156, 49, 450
The greatest common divisor of numbers 938, 156, 49, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 156, 49, 450 is 1.
1. What is the GCD of 938, 156, 49, 450?
GCD of given numbers 938, 156, 49, 450 is 1
2. How to calculate the greatest common divisor of 938, 156, 49, 450?
We can find the highest common divisor of 938, 156, 49, 450 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 938, 156, 49, 450 i.e 1.
3. How can I use the GCD of 938, 156, 49, 450Calculator?
Out the numbers 938, 156, 49, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.