GCD of 854, 132, 552, 730 Calculator

Given Input numbers are 854, 132, 552, 730

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

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

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 (854, 132, 552, 730) = 2.

Given numbers are 854, 132, 552, 730

The list of prime factors of all numbers are

Prime factors of 854 are 2 x 7 x 61

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 730 are 2 x 5 x 73

The highest common occurrence is 2¹

Therefore, GCD of 854, 132, 552, 730 is 2.

Given numbers are 854, 132, 552, 730

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

Apply this formula for all numbers.

Step1:

LCM(854, 132) = 56364

GCD(854, 132) = ( 854 x 132 ) / 56364

= 854 / 132

= 854

Step2:

LCM(2, 552) = 552

GCD(2, 552) = ( 2 x 552 ) / 552

= 2 / 552

= 2

Step3:

LCM(2, 730) = 730

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

= 2 / 730

= 2

So, Greatest Common Divisor of 854, 132, 552, 730 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 705, 843, 108, 504
• GCD of 216, 157, 927, 993
• GCD of 432, 306, 628, 810
• GCD of 864, 903, 885, 992
• GCD of 299, 130, 250, 748

Given numbers are 854, 132, 552, 730
The greatest common divisor of numbers 854, 132, 552, 730 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 854, 132, 552, 730 is 2.

1. What is the GCD of 854, 132, 552, 730?

GCD of given numbers 854, 132, 552, 730 is 2

2. How to calculate the greatest common divisor of 854, 132, 552, 730?

We can find the highest common divisor of 854, 132, 552, 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 854, 132, 552, 730 i.e 2.

3. How can I use the GCD of 854, 132, 552, 730Calculator?

Out the numbers 854, 132, 552, 730 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.