GCD of 746, 976, 442, 610 Calculator

Given Input numbers are 746, 976, 442, 610

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 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 610 :

The positive integer divisors of 610 that completely divides 610 are.

1, 2, 5, 10, 61, 122, 305, 610

GCD of numbers is the greatest common divisor

So, the GCD (746, 976, 442, 610) = 2.

Given numbers are 746, 976, 442, 610

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 442 are 2 x 13 x 17

Prime factors of 610 are 2 x 5 x 61

The highest common occurrence is 2¹

Therefore, GCD of 746, 976, 442, 610 is 2.

Given numbers are 746, 976, 442, 610

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

Apply this formula for all numbers.

Step1:

LCM(746, 976) = 364048

GCD(746, 976) = ( 746 x 976 ) / 364048

= 746 / 976

= 746

Step2:

LCM(2, 442) = 442

GCD(2, 442) = ( 2 x 442 ) / 442

= 2 / 442

= 2

Step3:

LCM(2, 610) = 610

GCD(2, 610) = ( 2 x 610 ) / 610

= 2 / 610

= 2

So, Greatest Common Divisor of 746, 976, 442, 610 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 721, 479, 590, 152
• GCD of 973, 773, 571, 142
• GCD of 702, 165, 138, 337
• GCD of 676, 760, 767, 466
• GCD of 615, 246, 323, 897

Given numbers are 746, 976, 442, 610
The greatest common divisor of numbers 746, 976, 442, 610 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 976, 442, 610 is 2.

1. What is the GCD of 746, 976, 442, 610?

GCD of given numbers 746, 976, 442, 610 is 2

2. How to calculate the greatest common divisor of 746, 976, 442, 610?

We can find the highest common divisor of 746, 976, 442, 610 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, 976, 442, 610 i.e 2.

3. How can I use the GCD of 746, 976, 442, 610Calculator?

Out the numbers 746, 976, 442, 610 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.