Online GCD Calculator is useful to find the GCD of 358, 768, 749, 290 quickly. Get the easiest ways to solve the greatest common divisor of 358, 768, 749, 290 i.e 1 in different methods as follows.
Given Input numbers are 358, 768, 749, 290
In the factoring method, we have to find the divisors of all numbers
Divisors of 358 :
The positive integer divisors of 358 that completely divides 358 are.
1, 2, 179, 358
Divisors of 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
Divisors of 290 :
The positive integer divisors of 290 that completely divides 290 are.
1, 2, 5, 10, 29, 58, 145, 290
GCD of numbers is the greatest common divisor
So, the GCD (358, 768, 749, 290) = 1.
Given numbers are 358, 768, 749, 290
The list of prime factors of all numbers are
Prime factors of 358 are 2 x 179
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 749 are 7 x 107
Prime factors of 290 are 2 x 5 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 358, 768, 749, 290
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(358, 768) = 137472
GCD(358, 768) = ( 358 x 768 ) / 137472
= 358 / 768
= 358
Step2:
LCM(2, 749) = 1498
GCD(2, 749) = ( 2 x 749 ) / 1498
= 2 / 749
= 2
Step3:
LCM(1, 290) = 290
GCD(1, 290) = ( 1 x 290 ) / 290
= 1 / 290
= 1
So, Greatest Common Divisor of 358, 768, 749, 290 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 358, 768, 749, 290
The greatest common divisor of numbers 358, 768, 749, 290 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 358, 768, 749, 290 is 1.
1. What is the GCD of 358, 768, 749, 290?
GCD of given numbers 358, 768, 749, 290 is 1
2. How to calculate the greatest common divisor of 358, 768, 749, 290?
We can find the highest common divisor of 358, 768, 749, 290 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 358, 768, 749, 290 i.e 1.
3. How can I use the GCD of 358, 768, 749, 290Calculator?
Out the numbers 358, 768, 749, 290 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.