GCD of 140, 546, 442, 852 Calculator

Given Input numbers are 140, 546, 442, 852

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 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

GCD of numbers is the greatest common divisor

So, the GCD (140, 546, 442, 852) = 2.

Given numbers are 140, 546, 442, 852

The list of prime factors of all numbers are

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

Prime factors of 546 are 2 x 3 x 7 x 13

Prime factors of 442 are 2 x 13 x 17

Prime factors of 852 are 2 x 2 x 3 x 71

The highest common occurrence is 2¹

Therefore, GCD of 140, 546, 442, 852 is 2.

Given numbers are 140, 546, 442, 852

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

Apply this formula for all numbers.

Step1:

LCM(140, 546) = 5460

GCD(140, 546) = ( 140 x 546 ) / 5460

= 140 / 546

= 140

Step2:

LCM(14, 442) = 3094

GCD(14, 442) = ( 14 x 442 ) / 3094

= 14 / 442

= 14

Step3:

LCM(2, 852) = 852

GCD(2, 852) = ( 2 x 852 ) / 852

= 2 / 852

= 2

So, Greatest Common Divisor of 140, 546, 442, 852 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 141, 339, 309, 542
• GCD of 155, 520, 287, 889
• GCD of 484, 260, 937, 894
• GCD of 987, 595, 785, 519
• GCD of 914, 314, 625, 117

Given numbers are 140, 546, 442, 852
The greatest common divisor of numbers 140, 546, 442, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 546, 442, 852 is 2.

1. What is the GCD of 140, 546, 442, 852?

GCD of given numbers 140, 546, 442, 852 is 2

2. How to calculate the greatest common divisor of 140, 546, 442, 852?

We can find the highest common divisor of 140, 546, 442, 852 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, 546, 442, 852 i.e 2.

3. How can I use the GCD of 140, 546, 442, 852Calculator?

Out the numbers 140, 546, 442, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.