GCD of 976, 442, 788, 254 Calculator

Given Input numbers are 976, 442, 788, 254

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 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

GCD of numbers is the greatest common divisor

So, the GCD (976, 442, 788, 254) = 2.

Given numbers are 976, 442, 788, 254

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 442 are 2 x 13 x 17

Prime factors of 788 are 2 x 2 x 197

Prime factors of 254 are 2 x 127

The highest common occurrence is 2¹

Therefore, GCD of 976, 442, 788, 254 is 2.

Given numbers are 976, 442, 788, 254

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

Apply this formula for all numbers.

Step1:

LCM(976, 442) = 215696

GCD(976, 442) = ( 976 x 442 ) / 215696

= 976 / 442

= 976

Step2:

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

= 2 / 788

= 2

Step3:

LCM(2, 254) = 254

GCD(2, 254) = ( 2 x 254 ) / 254

= 2 / 254

= 2

So, Greatest Common Divisor of 976, 442, 788, 254 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 153, 520, 633, 215
• GCD of 396, 835, 259, 730
• GCD of 657, 726, 918, 607
• GCD of 522, 393, 889, 435
• GCD of 408, 377, 638, 530

Given numbers are 976, 442, 788, 254
The greatest common divisor of numbers 976, 442, 788, 254 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 442, 788, 254 is 2.

1. What is the GCD of 976, 442, 788, 254?

GCD of given numbers 976, 442, 788, 254 is 2

2. How to calculate the greatest common divisor of 976, 442, 788, 254?

We can find the highest common divisor of 976, 442, 788, 254 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, 442, 788, 254 i.e 2.

3. How can I use the GCD of 976, 442, 788, 254Calculator?

Out the numbers 976, 442, 788, 254 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.