GCD of 146, 706, 688, 144 Calculator

Given Input numbers are 146, 706, 688, 144

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

Divisors of 146 :

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

1, 2, 73, 146

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (146, 706, 688, 144) = 2.

Given numbers are 146, 706, 688, 144

The list of prime factors of all numbers are

Prime factors of 146 are 2 x 73

Prime factors of 706 are 2 x 353

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 146, 706, 688, 144 is 2.

Given numbers are 146, 706, 688, 144

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

Apply this formula for all numbers.

Step1:

LCM(146, 706) = 51538

GCD(146, 706) = ( 146 x 706 ) / 51538

= 146 / 706

= 146

Step2:

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

= 2 / 688

= 2

Step3:

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

= 2 / 144

= 2

So, Greatest Common Divisor of 146, 706, 688, 144 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 361, 931, 648, 239
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Given numbers are 146, 706, 688, 144
The greatest common divisor of numbers 146, 706, 688, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 146, 706, 688, 144 is 2.

1. What is the GCD of 146, 706, 688, 144?

GCD of given numbers 146, 706, 688, 144 is 2

2. How to calculate the greatest common divisor of 146, 706, 688, 144?

We can find the highest common divisor of 146, 706, 688, 144 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 146, 706, 688, 144 i.e 2.

3. How can I use the GCD of 146, 706, 688, 144Calculator?

Out the numbers 146, 706, 688, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.