GCD of 735, 468, 542, 132 Calculator

Given Input numbers are 735, 468, 542, 132

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

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

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

GCD of numbers is the greatest common divisor

So, the GCD (735, 468, 542, 132) = 1.

Given numbers are 735, 468, 542, 132

The list of prime factors of all numbers are

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 542 are 2 x 271

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 735, 468, 542, 132

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

Apply this formula for all numbers.

Step1:

LCM(735, 468) = 114660

GCD(735, 468) = ( 735 x 468 ) / 114660

= 735 / 468

= 735

Step2:

LCM(3, 542) = 1626

GCD(3, 542) = ( 3 x 542 ) / 1626

= 3 / 542

= 3

Step3:

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

= 1 / 132

= 1

So, Greatest Common Divisor of 735, 468, 542, 132 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 841, 405, 153
• GCD of 624, 466, 638, 217
• GCD of 472, 272, 759, 924
• GCD of 573, 250, 802, 560
• GCD of 932, 482, 124, 840

Given numbers are 735, 468, 542, 132
The greatest common divisor of numbers 735, 468, 542, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 468, 542, 132 is 1.

1. What is the GCD of 735, 468, 542, 132?

GCD of given numbers 735, 468, 542, 132 is 1

2. How to calculate the greatest common divisor of 735, 468, 542, 132?

We can find the highest common divisor of 735, 468, 542, 132 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 735, 468, 542, 132 i.e 1.

3. How can I use the GCD of 735, 468, 542, 132Calculator?

Out the numbers 735, 468, 542, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.