GCD of 550, 737, 500, 714 Calculator

Given Input numbers are 550, 737, 500, 714

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 737 :

The positive integer divisors of 737 that completely divides 737 are.

1, 11, 67, 737

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

GCD of numbers is the greatest common divisor

So, the GCD (550, 737, 500, 714) = 1.

Given numbers are 550, 737, 500, 714

The list of prime factors of all numbers are

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

Prime factors of 737 are 11 x 67

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 714 are 2 x 3 x 7 x 17

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

Given numbers are 550, 737, 500, 714

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

Apply this formula for all numbers.

Step1:

LCM(550, 737) = 36850

GCD(550, 737) = ( 550 x 737 ) / 36850

= 550 / 737

= 550

Step2:

LCM(11, 500) = 5500

GCD(11, 500) = ( 11 x 500 ) / 5500

= 11 / 500

= 11

Step3:

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

= 1 / 714

= 1

So, Greatest Common Divisor of 550, 737, 500, 714 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 790, 384, 681, 151
• GCD of 991, 793, 736, 366
• GCD of 986, 868, 129, 846
• GCD of 975, 373, 798, 171
• GCD of 568, 350, 116, 961

Given numbers are 550, 737, 500, 714
The greatest common divisor of numbers 550, 737, 500, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 737, 500, 714 is 1.

1. What is the GCD of 550, 737, 500, 714?

GCD of given numbers 550, 737, 500, 714 is 1

2. How to calculate the greatest common divisor of 550, 737, 500, 714?

We can find the highest common divisor of 550, 737, 500, 714 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, 737, 500, 714 i.e 1.

3. How can I use the GCD of 550, 737, 500, 714Calculator?

Out the numbers 550, 737, 500, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.