GCD of 374, 765, 164, 560 Calculator

Given Input numbers are 374, 765, 164, 560

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

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

GCD of numbers is the greatest common divisor

So, the GCD (374, 765, 164, 560) = 1.

Given numbers are 374, 765, 164, 560

The list of prime factors of all numbers are

Prime factors of 374 are 2 x 11 x 17

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 164 are 2 x 2 x 41

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

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

Given numbers are 374, 765, 164, 560

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

Apply this formula for all numbers.

Step1:

LCM(374, 765) = 16830

GCD(374, 765) = ( 374 x 765 ) / 16830

= 374 / 765

= 374

Step2:

LCM(17, 164) = 2788

GCD(17, 164) = ( 17 x 164 ) / 2788

= 17 / 164

= 17

Step3:

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

= 1 / 560

= 1

So, Greatest Common Divisor of 374, 765, 164, 560 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 620, 959, 582, 436
• GCD of 137, 499, 894, 371
• GCD of 667, 712, 692, 515
• GCD of 491, 768, 756, 360
• GCD of 170, 253, 494, 435

Given numbers are 374, 765, 164, 560
The greatest common divisor of numbers 374, 765, 164, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 374, 765, 164, 560 is 1.

1. What is the GCD of 374, 765, 164, 560?

GCD of given numbers 374, 765, 164, 560 is 1

2. How to calculate the greatest common divisor of 374, 765, 164, 560?

We can find the highest common divisor of 374, 765, 164, 560 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 374, 765, 164, 560 i.e 1.

3. How can I use the GCD of 374, 765, 164, 560Calculator?

Out the numbers 374, 765, 164, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.