GCD of 384, 106, 253, 702 Calculator

Given Input numbers are 384, 106, 253, 702

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

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

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

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

GCD of numbers is the greatest common divisor

So, the GCD (384, 106, 253, 702) = 1.

Given numbers are 384, 106, 253, 702

The list of prime factors of all numbers are

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 106 are 2 x 53

Prime factors of 253 are 11 x 23

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

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

Given numbers are 384, 106, 253, 702

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

Apply this formula for all numbers.

Step1:

LCM(384, 106) = 20352

GCD(384, 106) = ( 384 x 106 ) / 20352

= 384 / 106

= 384

Step2:

LCM(2, 253) = 506

GCD(2, 253) = ( 2 x 253 ) / 506

= 2 / 253

= 2

Step3:

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

= 1 / 702

= 1

So, Greatest Common Divisor of 384, 106, 253, 702 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 236, 294, 910, 525
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• GCD of 872, 415, 638, 341
• GCD of 802, 517, 810, 911
• GCD of 328, 616, 649, 234

Given numbers are 384, 106, 253, 702
The greatest common divisor of numbers 384, 106, 253, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 106, 253, 702 is 1.

1. What is the GCD of 384, 106, 253, 702?

GCD of given numbers 384, 106, 253, 702 is 1

2. How to calculate the greatest common divisor of 384, 106, 253, 702?

We can find the highest common divisor of 384, 106, 253, 702 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 384, 106, 253, 702 i.e 1.

3. How can I use the GCD of 384, 106, 253, 702Calculator?

Out the numbers 384, 106, 253, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.