GCD of 780, 488, 968, 574 Calculator

Given Input numbers are 780, 488, 968, 574

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 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

GCD of numbers is the greatest common divisor

So, the GCD (780, 488, 968, 574) = 2.

Given numbers are 780, 488, 968, 574

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 488 are 2 x 2 x 2 x 61

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 574 are 2 x 7 x 41

The highest common occurrence is 2¹

Therefore, GCD of 780, 488, 968, 574 is 2.

Given numbers are 780, 488, 968, 574

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

Apply this formula for all numbers.

Step1:

LCM(780, 488) = 95160

GCD(780, 488) = ( 780 x 488 ) / 95160

= 780 / 488

= 780

Step2:

LCM(4, 968) = 968

GCD(4, 968) = ( 4 x 968 ) / 968

= 4 / 968

= 4

Step3:

LCM(4, 574) = 1148

GCD(4, 574) = ( 4 x 574 ) / 1148

= 4 / 574

= 4

So, Greatest Common Divisor of 780, 488, 968, 574 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 525, 647, 569, 302
• GCD of 373, 649, 982, 448
• GCD of 861, 241, 347, 144
• GCD of 668, 373, 870, 400
• GCD of 647, 781, 708, 737

Given numbers are 780, 488, 968, 574
The greatest common divisor of numbers 780, 488, 968, 574 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 488, 968, 574 is 2.

1. What is the GCD of 780, 488, 968, 574?

GCD of given numbers 780, 488, 968, 574 is 2

2. How to calculate the greatest common divisor of 780, 488, 968, 574?

We can find the highest common divisor of 780, 488, 968, 574 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, 488, 968, 574 i.e 2.

3. How can I use the GCD of 780, 488, 968, 574Calculator?

Out the numbers 780, 488, 968, 574 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.