GCD of 446, 200, 746, 976 Calculator

Given Input numbers are 446, 200, 746, 976

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

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

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

GCD of numbers is the greatest common divisor

So, the GCD (446, 200, 746, 976) = 2.

Given numbers are 446, 200, 746, 976

The list of prime factors of all numbers are

Prime factors of 446 are 2 x 223

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 746 are 2 x 373

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

The highest common occurrence is 2¹

Therefore, GCD of 446, 200, 746, 976 is 2.

Given numbers are 446, 200, 746, 976

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

Apply this formula for all numbers.

Step1:

LCM(446, 200) = 44600

GCD(446, 200) = ( 446 x 200 ) / 44600

= 446 / 200

= 446

Step2:

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

= 2 / 746

= 2

Step3:

LCM(2, 976) = 976

GCD(2, 976) = ( 2 x 976 ) / 976

= 2 / 976

= 2

So, Greatest Common Divisor of 446, 200, 746, 976 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 214, 469, 796, 771
• GCD of 999, 194, 553, 768
• GCD of 683, 958, 763, 918
• GCD of 288, 202, 412, 317
• GCD of 804, 129, 524, 584

Given numbers are 446, 200, 746, 976
The greatest common divisor of numbers 446, 200, 746, 976 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 446, 200, 746, 976 is 2.

1. What is the GCD of 446, 200, 746, 976?

GCD of given numbers 446, 200, 746, 976 is 2

2. How to calculate the greatest common divisor of 446, 200, 746, 976?

We can find the highest common divisor of 446, 200, 746, 976 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 446, 200, 746, 976 i.e 2.

3. How can I use the GCD of 446, 200, 746, 976Calculator?

Out the numbers 446, 200, 746, 976 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.