GCD of 140, 656, 324, 730 Calculator

Given Input numbers are 140, 656, 324, 730

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

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 730 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (140, 656, 324, 730) = 2.

Given numbers are 140, 656, 324, 730

The list of prime factors of all numbers are

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 730 are 2 x 5 x 73

The highest common occurrence is 2¹

Therefore, GCD of 140, 656, 324, 730 is 2.

Given numbers are 140, 656, 324, 730

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

Apply this formula for all numbers.

Step1:

LCM(140, 656) = 22960

GCD(140, 656) = ( 140 x 656 ) / 22960

= 140 / 656

= 140

Step2:

LCM(4, 324) = 324

GCD(4, 324) = ( 4 x 324 ) / 324

= 4 / 324

= 4

Step3:

LCM(4, 730) = 1460

GCD(4, 730) = ( 4 x 730 ) / 1460

= 4 / 730

= 4

So, Greatest Common Divisor of 140, 656, 324, 730 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 774, 433, 647, 174
• GCD of 794, 513, 530, 564
• GCD of 962, 794, 591, 598
• GCD of 156, 432, 681, 478
• GCD of 301, 881, 909, 175

Given numbers are 140, 656, 324, 730
The greatest common divisor of numbers 140, 656, 324, 730 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 656, 324, 730 is 2.

1. What is the GCD of 140, 656, 324, 730?

GCD of given numbers 140, 656, 324, 730 is 2

2. How to calculate the greatest common divisor of 140, 656, 324, 730?

We can find the highest common divisor of 140, 656, 324, 730 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 140, 656, 324, 730 i.e 2.

3. How can I use the GCD of 140, 656, 324, 730Calculator?

Out the numbers 140, 656, 324, 730 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.