GCD of 476, 574, 878, 964 Calculator

Given Input numbers are 476, 574, 878, 964

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

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

Divisors of 574 :

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

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

Divisors of 878 :

The positive integer divisors of 878 that completely divides 878 are.

1, 2, 439, 878

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

GCD of numbers is the greatest common divisor

So, the GCD (476, 574, 878, 964) = 2.

Given numbers are 476, 574, 878, 964

The list of prime factors of all numbers are

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

Prime factors of 574 are 2 x 7 x 41

Prime factors of 878 are 2 x 439

Prime factors of 964 are 2 x 2 x 241

The highest common occurrence is 2¹

Therefore, GCD of 476, 574, 878, 964 is 2.

Given numbers are 476, 574, 878, 964

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

Apply this formula for all numbers.

Step1:

LCM(476, 574) = 19516

GCD(476, 574) = ( 476 x 574 ) / 19516

= 476 / 574

= 476

Step2:

LCM(14, 878) = 6146

GCD(14, 878) = ( 14 x 878 ) / 6146

= 14 / 878

= 14

Step3:

LCM(2, 964) = 964

GCD(2, 964) = ( 2 x 964 ) / 964

= 2 / 964

= 2

So, Greatest Common Divisor of 476, 574, 878, 964 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 157, 942, 537, 112
• GCD of 423, 626, 486, 874
• GCD of 241, 578, 684, 987
• GCD of 212, 128, 724, 299
• GCD of 234, 733, 392, 784

Given numbers are 476, 574, 878, 964
The greatest common divisor of numbers 476, 574, 878, 964 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 476, 574, 878, 964 is 2.

1. What is the GCD of 476, 574, 878, 964?

GCD of given numbers 476, 574, 878, 964 is 2

2. How to calculate the greatest common divisor of 476, 574, 878, 964?

We can find the highest common divisor of 476, 574, 878, 964 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 476, 574, 878, 964 i.e 2.

3. How can I use the GCD of 476, 574, 878, 964Calculator?

Out the numbers 476, 574, 878, 964 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.