GCD of 738, 144, 567, 435 Calculator

Given Input numbers are 738, 144, 567, 435

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

GCD of numbers is the greatest common divisor

So, the GCD (738, 144, 567, 435) = 3.

Given numbers are 738, 144, 567, 435

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

Prime factors of 435 are 3 x 5 x 29

The highest common occurrence is 3¹

Therefore, GCD of 738, 144, 567, 435 is 3.

Given numbers are 738, 144, 567, 435

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

Apply this formula for all numbers.

Step1:

LCM(738, 144) = 5904

GCD(738, 144) = ( 738 x 144 ) / 5904

= 738 / 144

= 738

Step2:

LCM(18, 567) = 1134

GCD(18, 567) = ( 18 x 567 ) / 1134

= 18 / 567

= 18

Step3:

LCM(9, 435) = 1305

GCD(9, 435) = ( 9 x 435 ) / 1305

= 9 / 435

= 9

So, Greatest Common Divisor of 738, 144, 567, 435 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 475, 591, 130
• GCD of 453, 713, 869, 753
• GCD of 101, 322, 178, 819
• GCD of 869, 972, 322, 977
• GCD of 345, 881, 131, 208

Given numbers are 738, 144, 567, 435
The greatest common divisor of numbers 738, 144, 567, 435 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 144, 567, 435 is 3.

1. What is the GCD of 738, 144, 567, 435?

GCD of given numbers 738, 144, 567, 435 is 3

2. How to calculate the greatest common divisor of 738, 144, 567, 435?

We can find the highest common divisor of 738, 144, 567, 435 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 738, 144, 567, 435 i.e 3.

3. How can I use the GCD of 738, 144, 567, 435Calculator?

Out the numbers 738, 144, 567, 435 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.