GCD of 746, 106, 552, 722 Calculator

Given Input numbers are 746, 106, 552, 722

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

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 722 :

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

1, 2, 19, 38, 361, 722

GCD of numbers is the greatest common divisor

So, the GCD (746, 106, 552, 722) = 2.

Given numbers are 746, 106, 552, 722

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

Prime factors of 106 are 2 x 53

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 722 are 2 x 19 x 19

The highest common occurrence is 2¹

Therefore, GCD of 746, 106, 552, 722 is 2.

Given numbers are 746, 106, 552, 722

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

Apply this formula for all numbers.

Step1:

LCM(746, 106) = 39538

GCD(746, 106) = ( 746 x 106 ) / 39538

= 746 / 106

= 746

Step2:

LCM(2, 552) = 552

GCD(2, 552) = ( 2 x 552 ) / 552

= 2 / 552

= 2

Step3:

LCM(2, 722) = 722

GCD(2, 722) = ( 2 x 722 ) / 722

= 2 / 722

= 2

So, Greatest Common Divisor of 746, 106, 552, 722 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 450, 596, 506, 258
• GCD of 466, 518, 377, 704
• GCD of 861, 607, 532, 423
• GCD of 988, 278, 280, 516
• GCD of 144, 317, 869, 773

Given numbers are 746, 106, 552, 722
The greatest common divisor of numbers 746, 106, 552, 722 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 106, 552, 722 is 2.

1. What is the GCD of 746, 106, 552, 722?

GCD of given numbers 746, 106, 552, 722 is 2

2. How to calculate the greatest common divisor of 746, 106, 552, 722?

We can find the highest common divisor of 746, 106, 552, 722 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 746, 106, 552, 722 i.e 2.

3. How can I use the GCD of 746, 106, 552, 722Calculator?

Out the numbers 746, 106, 552, 722 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.