GCD of 676, 728, 144, 435 Calculator

Given Input numbers are 676, 728, 144, 435

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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 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 (676, 728, 144, 435) = 1.

Given numbers are 676, 728, 144, 435

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

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

Prime factors of 435 are 3 x 5 x 29

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

Given numbers are 676, 728, 144, 435

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

Apply this formula for all numbers.

Step1:

LCM(676, 728) = 9464

GCD(676, 728) = ( 676 x 728 ) / 9464

= 676 / 728

= 676

Step2:

LCM(52, 144) = 1872

GCD(52, 144) = ( 52 x 144 ) / 1872

= 52 / 144

= 52

Step3:

LCM(4, 435) = 1740

GCD(4, 435) = ( 4 x 435 ) / 1740

= 4 / 435

= 4

So, Greatest Common Divisor of 676, 728, 144, 435 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 531, 988, 629, 776
• GCD of 823, 609, 261, 742
• GCD of 468, 822, 682, 456
• GCD of 358, 315, 408, 987
• GCD of 222, 973, 235, 112

Given numbers are 676, 728, 144, 435
The greatest common divisor of numbers 676, 728, 144, 435 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 728, 144, 435 is 1.

1. What is the GCD of 676, 728, 144, 435?

GCD of given numbers 676, 728, 144, 435 is 1

2. How to calculate the greatest common divisor of 676, 728, 144, 435?

We can find the highest common divisor of 676, 728, 144, 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 676, 728, 144, 435 i.e 1.

3. How can I use the GCD of 676, 728, 144, 435Calculator?

Out the numbers 676, 728, 144, 435 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.