GCD of 780, 942, 546, 524 Calculator

Given Input numbers are 780, 942, 546, 524

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 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

GCD of numbers is the greatest common divisor

So, the GCD (780, 942, 546, 524) = 2.

Given numbers are 780, 942, 546, 524

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 942 are 2 x 3 x 157

Prime factors of 546 are 2 x 3 x 7 x 13

Prime factors of 524 are 2 x 2 x 131

The highest common occurrence is 2¹

Therefore, GCD of 780, 942, 546, 524 is 2.

Given numbers are 780, 942, 546, 524

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

Apply this formula for all numbers.

Step1:

LCM(780, 942) = 122460

GCD(780, 942) = ( 780 x 942 ) / 122460

= 780 / 942

= 780

Step2:

LCM(6, 546) = 546

GCD(6, 546) = ( 6 x 546 ) / 546

= 6 / 546

= 6

Step3:

LCM(6, 524) = 1572

GCD(6, 524) = ( 6 x 524 ) / 1572

= 6 / 524

= 6

So, Greatest Common Divisor of 780, 942, 546, 524 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 849, 430, 737, 324
• GCD of 243, 192, 755, 343
• GCD of 375, 194, 526, 650
• GCD of 228, 391, 471, 264
• GCD of 441, 357, 936, 539

Given numbers are 780, 942, 546, 524
The greatest common divisor of numbers 780, 942, 546, 524 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 942, 546, 524 is 2.

1. What is the GCD of 780, 942, 546, 524?

GCD of given numbers 780, 942, 546, 524 is 2

2. How to calculate the greatest common divisor of 780, 942, 546, 524?

We can find the highest common divisor of 780, 942, 546, 524 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, 942, 546, 524 i.e 2.

3. How can I use the GCD of 780, 942, 546, 524Calculator?

Out the numbers 780, 942, 546, 524 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.