GCD of 469, 749, 402, 288 Calculator

Given Input numbers are 469, 749, 402, 288

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

Divisors of 469 :

The positive integer divisors of 469 that completely divides 469 are.

1, 7, 67, 469

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (469, 749, 402, 288) = 1.

Given numbers are 469, 749, 402, 288

The list of prime factors of all numbers are

Prime factors of 469 are 7 x 67

Prime factors of 749 are 7 x 107

Prime factors of 402 are 2 x 3 x 67

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 469, 749, 402, 288

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

Apply this formula for all numbers.

Step1:

LCM(469, 749) = 50183

GCD(469, 749) = ( 469 x 749 ) / 50183

= 469 / 749

= 469

Step2:

LCM(7, 402) = 2814

GCD(7, 402) = ( 7 x 402 ) / 2814

= 7 / 402

= 7

Step3:

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

= 1 / 288

= 1

So, Greatest Common Divisor of 469, 749, 402, 288 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 562, 841, 991, 235
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• GCD of 407, 575, 292, 637
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• GCD of 959, 293, 855, 839

Given numbers are 469, 749, 402, 288
The greatest common divisor of numbers 469, 749, 402, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 469, 749, 402, 288 is 1.

1. What is the GCD of 469, 749, 402, 288?

GCD of given numbers 469, 749, 402, 288 is 1

2. How to calculate the greatest common divisor of 469, 749, 402, 288?

We can find the highest common divisor of 469, 749, 402, 288 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 469, 749, 402, 288 i.e 1.

3. How can I use the GCD of 469, 749, 402, 288Calculator?

Out the numbers 469, 749, 402, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.