GCD of 649, 390, 775, 338 Calculator

Given Input numbers are 649, 390, 775, 338

In the factoring method, we have to find the divisors of all numbers

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 775 :

The positive integer divisors of 775 that completely divides 775 are.

1, 5, 25, 31, 155, 775

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (649, 390, 775, 338) = 1.

Given numbers are 649, 390, 775, 338

The list of prime factors of all numbers are

Prime factors of 649 are 11 x 59

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 775 are 5 x 5 x 31

Prime factors of 338 are 2 x 13 x 13

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 649, 390, 775, 338

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(649, 390) = 253110

GCD(649, 390) = ( 649 x 390 ) / 253110

= 649 / 390

= 649

Step2:

LCM(1, 775) = 775

GCD(1, 775) = ( 1 x 775 ) / 775

= 1 / 775

= 1

Step3:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1

So, Greatest Common Divisor of 649, 390, 775, 338 is 1

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Given numbers are 649, 390, 775, 338
The greatest common divisor of numbers 649, 390, 775, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 649, 390, 775, 338 is 1.

1. What is the GCD of 649, 390, 775, 338?

GCD of given numbers 649, 390, 775, 338 is 1

2. How to calculate the greatest common divisor of 649, 390, 775, 338?

We can find the highest common divisor of 649, 390, 775, 338 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 649, 390, 775, 338 i.e 1.

3. How can I use the GCD of 649, 390, 775, 338Calculator?

Out the numbers 649, 390, 775, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.