GCD of 722, 940, 553, 689 Calculator

Given Input numbers are 722, 940, 553, 689

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

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 553 :

The positive integer divisors of 553 that completely divides 553 are.

1, 7, 79, 553

Divisors of 689 :

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

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (722, 940, 553, 689) = 1.

Given numbers are 722, 940, 553, 689

The list of prime factors of all numbers are

Prime factors of 722 are 2 x 19 x 19

Prime factors of 940 are 2 x 2 x 5 x 47

Prime factors of 553 are 7 x 79

Prime factors of 689 are 13 x 53

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

Given numbers are 722, 940, 553, 689

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

Apply this formula for all numbers.

Step1:

LCM(722, 940) = 339340

GCD(722, 940) = ( 722 x 940 ) / 339340

= 722 / 940

= 722

Step2:

LCM(2, 553) = 1106

GCD(2, 553) = ( 2 x 553 ) / 1106

= 2 / 553

= 2

Step3:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

So, Greatest Common Divisor of 722, 940, 553, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 351, 461, 286, 531
• GCD of 335, 643, 502, 353
• GCD of 268, 312, 941, 423
• GCD of 901, 597, 721, 994
• GCD of 849, 528, 388, 193

Given numbers are 722, 940, 553, 689
The greatest common divisor of numbers 722, 940, 553, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 722, 940, 553, 689 is 1.

1. What is the GCD of 722, 940, 553, 689?

GCD of given numbers 722, 940, 553, 689 is 1

2. How to calculate the greatest common divisor of 722, 940, 553, 689?

We can find the highest common divisor of 722, 940, 553, 689 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 722, 940, 553, 689 i.e 1.

3. How can I use the GCD of 722, 940, 553, 689Calculator?

Out the numbers 722, 940, 553, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.