GCD of 976, 510, 208, 428 Calculator

Given Input numbers are 976, 510, 208, 428

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

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 428 :

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

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (976, 510, 208, 428) = 2.

Given numbers are 976, 510, 208, 428

The list of prime factors of all numbers are

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 428 are 2 x 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 976, 510, 208, 428 is 2.

Given numbers are 976, 510, 208, 428

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

Apply this formula for all numbers.

Step1:

LCM(976, 510) = 248880

GCD(976, 510) = ( 976 x 510 ) / 248880

= 976 / 510

= 976

Step2:

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

= 2 / 208

= 2

Step3:

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

= 2 / 428

= 2

So, Greatest Common Divisor of 976, 510, 208, 428 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 979, 402, 509, 127
• GCD of 125, 531, 890, 698
• GCD of 296, 610, 809, 105
• GCD of 224, 101, 303, 581
• GCD of 150, 638, 309, 302

Given numbers are 976, 510, 208, 428
The greatest common divisor of numbers 976, 510, 208, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 510, 208, 428 is 2.

1. What is the GCD of 976, 510, 208, 428?

GCD of given numbers 976, 510, 208, 428 is 2

2. How to calculate the greatest common divisor of 976, 510, 208, 428?

We can find the highest common divisor of 976, 510, 208, 428 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 976, 510, 208, 428 i.e 2.

3. How can I use the GCD of 976, 510, 208, 428Calculator?

Out the numbers 976, 510, 208, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.