GCD of 972, 314, 892, 340 Calculator

Given Input numbers are 972, 314, 892, 340

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

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

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 892 :

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

1, 2, 4, 223, 446, 892

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

GCD of numbers is the greatest common divisor

So, the GCD (972, 314, 892, 340) = 2.

Given numbers are 972, 314, 892, 340

The list of prime factors of all numbers are

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

Prime factors of 314 are 2 x 157

Prime factors of 892 are 2 x 2 x 223

Prime factors of 340 are 2 x 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 972, 314, 892, 340 is 2.

Given numbers are 972, 314, 892, 340

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

Apply this formula for all numbers.

Step1:

LCM(972, 314) = 152604

GCD(972, 314) = ( 972 x 314 ) / 152604

= 972 / 314

= 972

Step2:

LCM(2, 892) = 892

GCD(2, 892) = ( 2 x 892 ) / 892

= 2 / 892

= 2

Step3:

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

= 2 / 340

= 2

So, Greatest Common Divisor of 972, 314, 892, 340 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 282, 174, 746, 165
• GCD of 803, 664, 441, 319
• GCD of 326, 814, 971, 399
• GCD of 333, 489, 579, 694
• GCD of 118, 227, 184, 815

Given numbers are 972, 314, 892, 340
The greatest common divisor of numbers 972, 314, 892, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 314, 892, 340 is 2.

1. What is the GCD of 972, 314, 892, 340?

GCD of given numbers 972, 314, 892, 340 is 2

2. How to calculate the greatest common divisor of 972, 314, 892, 340?

We can find the highest common divisor of 972, 314, 892, 340 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 972, 314, 892, 340 i.e 2.

3. How can I use the GCD of 972, 314, 892, 340Calculator?

Out the numbers 972, 314, 892, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.