GCD of 954, 916, 768, 476 Calculator

Given Input numbers are 954, 916, 768, 476

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

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

GCD of numbers is the greatest common divisor

So, the GCD (954, 916, 768, 476) = 2.

Given numbers are 954, 916, 768, 476

The list of prime factors of all numbers are

Prime factors of 954 are 2 x 3 x 3 x 53

Prime factors of 916 are 2 x 2 x 229

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 476 are 2 x 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 954, 916, 768, 476 is 2.

Given numbers are 954, 916, 768, 476

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

Apply this formula for all numbers.

Step1:

LCM(954, 916) = 436932

GCD(954, 916) = ( 954 x 916 ) / 436932

= 954 / 916

= 954

Step2:

LCM(2, 768) = 768

GCD(2, 768) = ( 2 x 768 ) / 768

= 2 / 768

= 2

Step3:

LCM(2, 476) = 476

GCD(2, 476) = ( 2 x 476 ) / 476

= 2 / 476

= 2

So, Greatest Common Divisor of 954, 916, 768, 476 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 496, 790, 534, 194
• GCD of 238, 907, 236, 500
• GCD of 714, 185, 281, 658
• GCD of 996, 568, 112, 802
• GCD of 266, 179, 876, 779

Given numbers are 954, 916, 768, 476
The greatest common divisor of numbers 954, 916, 768, 476 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 954, 916, 768, 476 is 2.

1. What is the GCD of 954, 916, 768, 476?

GCD of given numbers 954, 916, 768, 476 is 2

2. How to calculate the greatest common divisor of 954, 916, 768, 476?

We can find the highest common divisor of 954, 916, 768, 476 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 954, 916, 768, 476 i.e 2.

3. How can I use the GCD of 954, 916, 768, 476Calculator?

Out the numbers 954, 916, 768, 476 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.