GCD of 890, 450, 672, 364 Calculator

Given Input numbers are 890, 450, 672, 364

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

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (890, 450, 672, 364) = 2.

Given numbers are 890, 450, 672, 364

The list of prime factors of all numbers are

Prime factors of 890 are 2 x 5 x 89

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 364 are 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 890, 450, 672, 364 is 2.

Given numbers are 890, 450, 672, 364

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

Apply this formula for all numbers.

Step1:

LCM(890, 450) = 40050

GCD(890, 450) = ( 890 x 450 ) / 40050

= 890 / 450

= 890

Step2:

LCM(10, 672) = 3360

GCD(10, 672) = ( 10 x 672 ) / 3360

= 10 / 672

= 10

Step3:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

So, Greatest Common Divisor of 890, 450, 672, 364 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 137, 119, 800, 104
• GCD of 143, 137, 299, 426
• GCD of 511, 916, 593, 526
• GCD of 303, 472, 325, 472
• GCD of 560, 655, 991, 160

Given numbers are 890, 450, 672, 364
The greatest common divisor of numbers 890, 450, 672, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 890, 450, 672, 364 is 2.

1. What is the GCD of 890, 450, 672, 364?

GCD of given numbers 890, 450, 672, 364 is 2

2. How to calculate the greatest common divisor of 890, 450, 672, 364?

We can find the highest common divisor of 890, 450, 672, 364 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 890, 450, 672, 364 i.e 2.

3. How can I use the GCD of 890, 450, 672, 364Calculator?

Out the numbers 890, 450, 672, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.