GCD of 440, 670, 892, 972 Calculator

Given Input numbers are 440, 670, 892, 972

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

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (440, 670, 892, 972) = 2.

Given numbers are 440, 670, 892, 972

The list of prime factors of all numbers are

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 670 are 2 x 5 x 67

Prime factors of 892 are 2 x 2 x 223

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 440, 670, 892, 972 is 2.

Given numbers are 440, 670, 892, 972

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

Apply this formula for all numbers.

Step1:

LCM(440, 670) = 29480

GCD(440, 670) = ( 440 x 670 ) / 29480

= 440 / 670

= 440

Step2:

LCM(10, 892) = 4460

GCD(10, 892) = ( 10 x 892 ) / 4460

= 10 / 892

= 10

Step3:

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

= 2 / 972

= 2

So, Greatest Common Divisor of 440, 670, 892, 972 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 812, 282, 561, 916
• GCD of 581, 530, 367, 621
• GCD of 225, 498, 712, 695
• GCD of 117, 671, 375, 337
• GCD of 531, 874, 261, 582

Given numbers are 440, 670, 892, 972
The greatest common divisor of numbers 440, 670, 892, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 440, 670, 892, 972 is 2.

1. What is the GCD of 440, 670, 892, 972?

GCD of given numbers 440, 670, 892, 972 is 2

2. How to calculate the greatest common divisor of 440, 670, 892, 972?

We can find the highest common divisor of 440, 670, 892, 972 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 440, 670, 892, 972 i.e 2.

3. How can I use the GCD of 440, 670, 892, 972Calculator?

Out the numbers 440, 670, 892, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.