GCD of 780, 454, 396, 972 Calculator

Given Input numbers are 780, 454, 396, 972

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

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 454 :

The positive integer divisors of 454 that completely divides 454 are.

1, 2, 227, 454

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

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 (780, 454, 396, 972) = 2.

Given numbers are 780, 454, 396, 972

The list of prime factors of all numbers are

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 454 are 2 x 227

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

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 780, 454, 396, 972 is 2.

Given numbers are 780, 454, 396, 972

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

Apply this formula for all numbers.

Step1:

LCM(780, 454) = 177060

GCD(780, 454) = ( 780 x 454 ) / 177060

= 780 / 454

= 780

Step2:

LCM(2, 396) = 396

GCD(2, 396) = ( 2 x 396 ) / 396

= 2 / 396

= 2

Step3:

LCM(2, 972) = 972

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

= 2 / 972

= 2

So, Greatest Common Divisor of 780, 454, 396, 972 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 648, 787, 343, 392
• GCD of 690, 988, 289, 172
• GCD of 274, 862, 742, 196
• GCD of 386, 524, 233, 600
• GCD of 393, 356, 196, 839

Given numbers are 780, 454, 396, 972
The greatest common divisor of numbers 780, 454, 396, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 454, 396, 972 is 2.

1. What is the GCD of 780, 454, 396, 972?

GCD of given numbers 780, 454, 396, 972 is 2

2. How to calculate the greatest common divisor of 780, 454, 396, 972?

We can find the highest common divisor of 780, 454, 396, 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 780, 454, 396, 972 i.e 2.

3. How can I use the GCD of 780, 454, 396, 972Calculator?

Out the numbers 780, 454, 396, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.