GCD of 705, 438, 146, 996 Calculator

Given Input numbers are 705, 438, 146, 996

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

GCD of numbers is the greatest common divisor

So, the GCD (705, 438, 146, 996) = 1.

Given numbers are 705, 438, 146, 996

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 438 are 2 x 3 x 73

Prime factors of 146 are 2 x 73

Prime factors of 996 are 2 x 2 x 3 x 83

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

Given numbers are 705, 438, 146, 996

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

Apply this formula for all numbers.

Step1:

LCM(705, 438) = 102930

GCD(705, 438) = ( 705 x 438 ) / 102930

= 705 / 438

= 705

Step2:

LCM(3, 146) = 438

GCD(3, 146) = ( 3 x 146 ) / 438

= 3 / 146

= 3

Step3:

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

= 1 / 996

= 1

So, Greatest Common Divisor of 705, 438, 146, 996 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 196, 444, 276, 743
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• GCD of 929, 351, 145, 264
• GCD of 107, 594, 497, 718

Given numbers are 705, 438, 146, 996
The greatest common divisor of numbers 705, 438, 146, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 438, 146, 996 is 1.

1. What is the GCD of 705, 438, 146, 996?

GCD of given numbers 705, 438, 146, 996 is 1

2. How to calculate the greatest common divisor of 705, 438, 146, 996?

We can find the highest common divisor of 705, 438, 146, 996 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 705, 438, 146, 996 i.e 1.

3. How can I use the GCD of 705, 438, 146, 996Calculator?

Out the numbers 705, 438, 146, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.