Online GCD Calculator is useful to find the GCD of 154, 203, 378, 362 quickly. Get the easiest ways to solve the greatest common divisor of 154, 203, 378, 362 i.e 1 in different methods as follows.
Given Input numbers are 154, 203, 378, 362
In the factoring method, we have to find the divisors of all numbers
Divisors of 154 :
The positive integer divisors of 154 that completely divides 154 are.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 203 :
The positive integer divisors of 203 that completely divides 203 are.
1, 7, 29, 203
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
GCD of numbers is the greatest common divisor
So, the GCD (154, 203, 378, 362) = 1.
Given numbers are 154, 203, 378, 362
The list of prime factors of all numbers are
Prime factors of 154 are 2 x 7 x 11
Prime factors of 203 are 7 x 29
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 362 are 2 x 181
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 154, 203, 378, 362
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(154, 203) = 4466
GCD(154, 203) = ( 154 x 203 ) / 4466
= 154 / 203
= 154
Step2:
LCM(7, 378) = 378
GCD(7, 378) = ( 7 x 378 ) / 378
= 7 / 378
= 7
Step3:
LCM(7, 362) = 2534
GCD(7, 362) = ( 7 x 362 ) / 2534
= 7 / 362
= 7
So, Greatest Common Divisor of 154, 203, 378, 362 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 154, 203, 378, 362
The greatest common divisor of numbers 154, 203, 378, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 154, 203, 378, 362 is 1.
1. What is the GCD of 154, 203, 378, 362?
GCD of given numbers 154, 203, 378, 362 is 1
2. How to calculate the greatest common divisor of 154, 203, 378, 362?
We can find the highest common divisor of 154, 203, 378, 362 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 154, 203, 378, 362 i.e 1.
3. How can I use the GCD of 154, 203, 378, 362Calculator?
Out the numbers 154, 203, 378, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.