GCD of 442, 153, 784, 138 Calculator

Given Input numbers are 442, 153, 784, 138

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

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (442, 153, 784, 138) = 1.

Given numbers are 442, 153, 784, 138

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 153 are 3 x 3 x 17

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 138 are 2 x 3 x 23

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

Given numbers are 442, 153, 784, 138

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

Apply this formula for all numbers.

Step1:

LCM(442, 153) = 3978

GCD(442, 153) = ( 442 x 153 ) / 3978

= 442 / 153

= 442

Step2:

LCM(17, 784) = 13328

GCD(17, 784) = ( 17 x 784 ) / 13328

= 17 / 784

= 17

Step3:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

So, Greatest Common Divisor of 442, 153, 784, 138 is 1

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• GCD of 590, 368, 860, 289
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Given numbers are 442, 153, 784, 138
The greatest common divisor of numbers 442, 153, 784, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 153, 784, 138 is 1.

1. What is the GCD of 442, 153, 784, 138?

GCD of given numbers 442, 153, 784, 138 is 1

2. How to calculate the greatest common divisor of 442, 153, 784, 138?

We can find the highest common divisor of 442, 153, 784, 138 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 442, 153, 784, 138 i.e 1.

3. How can I use the GCD of 442, 153, 784, 138Calculator?

Out the numbers 442, 153, 784, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.