Online GCD Calculator is useful to find the GCD of 369, 202, 343, 278 quickly. Get the easiest ways to solve the greatest common divisor of 369, 202, 343, 278 i.e 1 in different methods as follows.
Given Input numbers are 369, 202, 343, 278
In the factoring method, we have to find the divisors of all numbers
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
Divisors of 202 :
The positive integer divisors of 202 that completely divides 202 are.
1, 2, 101, 202
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 278 :
The positive integer divisors of 278 that completely divides 278 are.
1, 2, 139, 278
GCD of numbers is the greatest common divisor
So, the GCD (369, 202, 343, 278) = 1.
Given numbers are 369, 202, 343, 278
The list of prime factors of all numbers are
Prime factors of 369 are 3 x 3 x 41
Prime factors of 202 are 2 x 101
Prime factors of 343 are 7 x 7 x 7
Prime factors of 278 are 2 x 139
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 369, 202, 343, 278
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(369, 202) = 74538
GCD(369, 202) = ( 369 x 202 ) / 74538
= 369 / 202
= 369
Step2:
LCM(1, 343) = 343
GCD(1, 343) = ( 1 x 343 ) / 343
= 1 / 343
= 1
Step3:
LCM(1, 278) = 278
GCD(1, 278) = ( 1 x 278 ) / 278
= 1 / 278
= 1
So, Greatest Common Divisor of 369, 202, 343, 278 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 369, 202, 343, 278
The greatest common divisor of numbers 369, 202, 343, 278 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 202, 343, 278 is 1.
1. What is the GCD of 369, 202, 343, 278?
GCD of given numbers 369, 202, 343, 278 is 1
2. How to calculate the greatest common divisor of 369, 202, 343, 278?
We can find the highest common divisor of 369, 202, 343, 278 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 369, 202, 343, 278 i.e 1.
3. How can I use the GCD of 369, 202, 343, 278Calculator?
Out the numbers 369, 202, 343, 278 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.