Online GCD Calculator is useful to find the GCD of 400, 274, 177, 938 quickly. Get the easiest ways to solve the greatest common divisor of 400, 274, 177, 938 i.e 1 in different methods as follows.
Given Input numbers are 400, 274, 177, 938
In the factoring method, we have to find the divisors of all numbers
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
Divisors of 177 :
The positive integer divisors of 177 that completely divides 177 are.
1, 3, 59, 177
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
GCD of numbers is the greatest common divisor
So, the GCD (400, 274, 177, 938) = 1.
Given numbers are 400, 274, 177, 938
The list of prime factors of all numbers are
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 274 are 2 x 137
Prime factors of 177 are 3 x 59
Prime factors of 938 are 2 x 7 x 67
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 400, 274, 177, 938
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 274) = 54800
GCD(400, 274) = ( 400 x 274 ) / 54800
= 400 / 274
= 400
Step2:
LCM(2, 177) = 354
GCD(2, 177) = ( 2 x 177 ) / 354
= 2 / 177
= 2
Step3:
LCM(1, 938) = 938
GCD(1, 938) = ( 1 x 938 ) / 938
= 1 / 938
= 1
So, Greatest Common Divisor of 400, 274, 177, 938 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 400, 274, 177, 938
The greatest common divisor of numbers 400, 274, 177, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 274, 177, 938 is 1.
1. What is the GCD of 400, 274, 177, 938?
GCD of given numbers 400, 274, 177, 938 is 1
2. How to calculate the greatest common divisor of 400, 274, 177, 938?
We can find the highest common divisor of 400, 274, 177, 938 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 400, 274, 177, 938 i.e 1.
3. How can I use the GCD of 400, 274, 177, 938Calculator?
Out the numbers 400, 274, 177, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.