GCD of 550, 689, 312, 274 Calculator

Given Input numbers are 550, 689, 312, 274

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

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 274 :

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

1, 2, 137, 274

GCD of numbers is the greatest common divisor

So, the GCD (550, 689, 312, 274) = 1.

Given numbers are 550, 689, 312, 274

The list of prime factors of all numbers are

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 689 are 13 x 53

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 274 are 2 x 137

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

Given numbers are 550, 689, 312, 274

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

Apply this formula for all numbers.

Step1:

LCM(550, 689) = 378950

GCD(550, 689) = ( 550 x 689 ) / 378950

= 550 / 689

= 550

Step2:

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

= 1 / 312

= 1

Step3:

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

= 1 / 274

= 1

So, Greatest Common Divisor of 550, 689, 312, 274 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 459, 658, 678, 906
• GCD of 855, 817, 494, 472
• GCD of 547, 997, 530, 819
• GCD of 707, 308, 368, 880
• GCD of 326, 418, 612, 653

Given numbers are 550, 689, 312, 274
The greatest common divisor of numbers 550, 689, 312, 274 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 689, 312, 274 is 1.

1. What is the GCD of 550, 689, 312, 274?

GCD of given numbers 550, 689, 312, 274 is 1

2. How to calculate the greatest common divisor of 550, 689, 312, 274?

We can find the highest common divisor of 550, 689, 312, 274 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 550, 689, 312, 274 i.e 1.

3. How can I use the GCD of 550, 689, 312, 274Calculator?

Out the numbers 550, 689, 312, 274 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.