GCD of 730, 164, 154, 182 Calculator

Given Input numbers are 730, 164, 154, 182

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

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

GCD of numbers is the greatest common divisor

So, the GCD (730, 164, 154, 182) = 2.

Given numbers are 730, 164, 154, 182

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

Prime factors of 164 are 2 x 2 x 41

Prime factors of 154 are 2 x 7 x 11

Prime factors of 182 are 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 730, 164, 154, 182 is 2.

Given numbers are 730, 164, 154, 182

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

Apply this formula for all numbers.

Step1:

LCM(730, 164) = 59860

GCD(730, 164) = ( 730 x 164 ) / 59860

= 730 / 164

= 730

Step2:

LCM(2, 154) = 154

GCD(2, 154) = ( 2 x 154 ) / 154

= 2 / 154

= 2

Step3:

LCM(2, 182) = 182

GCD(2, 182) = ( 2 x 182 ) / 182

= 2 / 182

= 2

So, Greatest Common Divisor of 730, 164, 154, 182 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 842, 196, 173, 609
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• GCD of 157, 361, 338, 546
• GCD of 110, 468, 748, 829
• GCD of 869, 932, 591, 892

Given numbers are 730, 164, 154, 182
The greatest common divisor of numbers 730, 164, 154, 182 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 164, 154, 182 is 2.

1. What is the GCD of 730, 164, 154, 182?

GCD of given numbers 730, 164, 154, 182 is 2

2. How to calculate the greatest common divisor of 730, 164, 154, 182?

We can find the highest common divisor of 730, 164, 154, 182 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 730, 164, 154, 182 i.e 2.

3. How can I use the GCD of 730, 164, 154, 182Calculator?

Out the numbers 730, 164, 154, 182 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.