GCD of 474, 711, 558, 969 Calculator

Given Input numbers are 474, 711, 558, 969

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

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 711 :

The positive integer divisors of 711 that completely divides 711 are.

1, 3, 9, 79, 237, 711

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

GCD of numbers is the greatest common divisor

So, the GCD (474, 711, 558, 969) = 3.

Given numbers are 474, 711, 558, 969

The list of prime factors of all numbers are

Prime factors of 474 are 2 x 3 x 79

Prime factors of 711 are 3 x 3 x 79

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 969 are 3 x 17 x 19

The highest common occurrence is 3¹

Therefore, GCD of 474, 711, 558, 969 is 3.

Given numbers are 474, 711, 558, 969

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

Apply this formula for all numbers.

Step1:

LCM(474, 711) = 1422

GCD(474, 711) = ( 474 x 711 ) / 1422

= 474 / 711

= 474

Step2:

LCM(237, 558) = 44082

GCD(237, 558) = ( 237 x 558 ) / 44082

= 237 / 558

= 237

Step3:

LCM(3, 969) = 969

GCD(3, 969) = ( 3 x 969 ) / 969

= 3 / 969

= 3

So, Greatest Common Divisor of 474, 711, 558, 969 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 195, 547, 555
• GCD of 584, 586, 310, 880
• GCD of 521, 371, 633, 447
• GCD of 771, 278, 608, 403
• GCD of 286, 407, 514, 157

Given numbers are 474, 711, 558, 969
The greatest common divisor of numbers 474, 711, 558, 969 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 711, 558, 969 is 3.

1. What is the GCD of 474, 711, 558, 969?

GCD of given numbers 474, 711, 558, 969 is 3

2. How to calculate the greatest common divisor of 474, 711, 558, 969?

We can find the highest common divisor of 474, 711, 558, 969 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 474, 711, 558, 969 i.e 3.

3. How can I use the GCD of 474, 711, 558, 969Calculator?

Out the numbers 474, 711, 558, 969 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.