GCD of 560, 274, 431, 369 Calculator

Given Input numbers are 560, 274, 431, 369

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

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

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

GCD of numbers is the greatest common divisor

So, the GCD (560, 274, 431, 369) = 1.

Given numbers are 560, 274, 431, 369

The list of prime factors of all numbers are

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

Prime factors of 274 are 2 x 137

Prime factors of 431 are 431

Prime factors of 369 are 3 x 3 x 41

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

Given numbers are 560, 274, 431, 369

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

Apply this formula for all numbers.

Step1:

LCM(560, 274) = 76720

GCD(560, 274) = ( 560 x 274 ) / 76720

= 560 / 274

= 560

Step2:

LCM(2, 431) = 862

GCD(2, 431) = ( 2 x 431 ) / 862

= 2 / 431

= 2

Step3:

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

= 1 / 369

= 1

So, Greatest Common Divisor of 560, 274, 431, 369 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 954, 726, 974, 203
• GCD of 490, 711, 719, 744
• GCD of 608, 647, 392, 653
• GCD of 631, 839, 959, 847
• GCD of 275, 609, 227, 161

Given numbers are 560, 274, 431, 369
The greatest common divisor of numbers 560, 274, 431, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 274, 431, 369 is 1.

1. What is the GCD of 560, 274, 431, 369?

GCD of given numbers 560, 274, 431, 369 is 1

2. How to calculate the greatest common divisor of 560, 274, 431, 369?

We can find the highest common divisor of 560, 274, 431, 369 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 560, 274, 431, 369 i.e 1.

3. How can I use the GCD of 560, 274, 431, 369Calculator?

Out the numbers 560, 274, 431, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.