GCD of 264, 454, 730, 140 Calculator

Given Input numbers are 264, 454, 730, 140

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

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 454 :

The positive integer divisors of 454 that completely divides 454 are.

1, 2, 227, 454

Divisors of 730 :

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

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

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

GCD of numbers is the greatest common divisor

So, the GCD (264, 454, 730, 140) = 2.

Given numbers are 264, 454, 730, 140

The list of prime factors of all numbers are

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 454 are 2 x 227

Prime factors of 730 are 2 x 5 x 73

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

The highest common occurrence is 2¹

Therefore, GCD of 264, 454, 730, 140 is 2.

Given numbers are 264, 454, 730, 140

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

Apply this formula for all numbers.

Step1:

LCM(264, 454) = 59928

GCD(264, 454) = ( 264 x 454 ) / 59928

= 264 / 454

= 264

Step2:

LCM(2, 730) = 730

GCD(2, 730) = ( 2 x 730 ) / 730

= 2 / 730

= 2

Step3:

LCM(2, 140) = 140

GCD(2, 140) = ( 2 x 140 ) / 140

= 2 / 140

= 2

So, Greatest Common Divisor of 264, 454, 730, 140 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 902, 848, 293, 731
• GCD of 282, 523, 339, 679
• GCD of 203, 883, 652, 717
• GCD of 179, 224, 341, 837
• GCD of 655, 183, 730, 130

Given numbers are 264, 454, 730, 140
The greatest common divisor of numbers 264, 454, 730, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 454, 730, 140 is 2.

1. What is the GCD of 264, 454, 730, 140?

GCD of given numbers 264, 454, 730, 140 is 2

2. How to calculate the greatest common divisor of 264, 454, 730, 140?

We can find the highest common divisor of 264, 454, 730, 140 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 264, 454, 730, 140 i.e 2.

3. How can I use the GCD of 264, 454, 730, 140Calculator?

Out the numbers 264, 454, 730, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.