GCD of 340, 438, 758, 675 Calculator

Given Input numbers are 340, 438, 758, 675

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

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

GCD of numbers is the greatest common divisor

So, the GCD (340, 438, 758, 675) = 1.

Given numbers are 340, 438, 758, 675

The list of prime factors of all numbers are

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 438 are 2 x 3 x 73

Prime factors of 758 are 2 x 379

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

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

Given numbers are 340, 438, 758, 675

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

Apply this formula for all numbers.

Step1:

LCM(340, 438) = 74460

GCD(340, 438) = ( 340 x 438 ) / 74460

= 340 / 438

= 340

Step2:

LCM(2, 758) = 758

GCD(2, 758) = ( 2 x 758 ) / 758

= 2 / 758

= 2

Step3:

LCM(2, 675) = 1350

GCD(2, 675) = ( 2 x 675 ) / 1350

= 2 / 675

= 2

So, Greatest Common Divisor of 340, 438, 758, 675 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 215, 548, 688, 639
• GCD of 689, 869, 300, 322
• GCD of 930, 800, 960, 392
• GCD of 865, 846, 859, 419
• GCD of 364, 703, 716, 202

Given numbers are 340, 438, 758, 675
The greatest common divisor of numbers 340, 438, 758, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 438, 758, 675 is 1.

1. What is the GCD of 340, 438, 758, 675?

GCD of given numbers 340, 438, 758, 675 is 1

2. How to calculate the greatest common divisor of 340, 438, 758, 675?

We can find the highest common divisor of 340, 438, 758, 675 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 340, 438, 758, 675 i.e 1.

3. How can I use the GCD of 340, 438, 758, 675Calculator?

Out the numbers 340, 438, 758, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.