GCD of 428, 498, 968, 780 Calculator

Given Input numbers are 428, 498, 968, 780

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

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 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

GCD of numbers is the greatest common divisor

So, the GCD (428, 498, 968, 780) = 2.

Given numbers are 428, 498, 968, 780

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 498 are 2 x 3 x 83

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

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

The highest common occurrence is 2¹

Therefore, GCD of 428, 498, 968, 780 is 2.

Given numbers are 428, 498, 968, 780

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

Apply this formula for all numbers.

Step1:

LCM(428, 498) = 106572

GCD(428, 498) = ( 428 x 498 ) / 106572

= 428 / 498

= 428

Step2:

LCM(2, 968) = 968

GCD(2, 968) = ( 2 x 968 ) / 968

= 2 / 968

= 2

Step3:

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

= 2 / 780

= 2

So, Greatest Common Divisor of 428, 498, 968, 780 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 284, 923, 417, 876
• GCD of 510, 603, 223, 760
• GCD of 399, 712, 514, 667
• GCD of 620, 183, 563, 260
• GCD of 156, 906, 353, 832

Given numbers are 428, 498, 968, 780
The greatest common divisor of numbers 428, 498, 968, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 498, 968, 780 is 2.

1. What is the GCD of 428, 498, 968, 780?

GCD of given numbers 428, 498, 968, 780 is 2

2. How to calculate the greatest common divisor of 428, 498, 968, 780?

We can find the highest common divisor of 428, 498, 968, 780 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 428, 498, 968, 780 i.e 2.

3. How can I use the GCD of 428, 498, 968, 780Calculator?

Out the numbers 428, 498, 968, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.