GCD of 550, 974, 587, 360 Calculator

Given Input numbers are 550, 974, 587, 360

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 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 587 :

The positive integer divisors of 587 that completely divides 587 are.

1, 587

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (550, 974, 587, 360) = 1.

Given numbers are 550, 974, 587, 360

The list of prime factors of all numbers are

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

Prime factors of 974 are 2 x 487

Prime factors of 587 are 587

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

Given numbers are 550, 974, 587, 360

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

Apply this formula for all numbers.

Step1:

LCM(550, 974) = 267850

GCD(550, 974) = ( 550 x 974 ) / 267850

= 550 / 974

= 550

Step2:

LCM(2, 587) = 1174

GCD(2, 587) = ( 2 x 587 ) / 1174

= 2 / 587

= 2

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 550, 974, 587, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 226, 345, 816, 826
• GCD of 688, 931, 285, 118
• GCD of 114, 729, 979, 859
• GCD of 507, 680, 740, 841
• GCD of 976, 418, 337, 776

Given numbers are 550, 974, 587, 360
The greatest common divisor of numbers 550, 974, 587, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 974, 587, 360 is 1.

1. What is the GCD of 550, 974, 587, 360?

GCD of given numbers 550, 974, 587, 360 is 1

2. How to calculate the greatest common divisor of 550, 974, 587, 360?

We can find the highest common divisor of 550, 974, 587, 360 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, 974, 587, 360 i.e 1.

3. How can I use the GCD of 550, 974, 587, 360Calculator?

Out the numbers 550, 974, 587, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.