GCD of 535, 252, 345, 720 Calculator

Given Input numbers are 535, 252, 345, 720

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

Divisors of 535 :

The positive integer divisors of 535 that completely divides 535 are.

1, 5, 107, 535

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

GCD of numbers is the greatest common divisor

So, the GCD (535, 252, 345, 720) = 1.

Given numbers are 535, 252, 345, 720

The list of prime factors of all numbers are

Prime factors of 535 are 5 x 107

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 345 are 3 x 5 x 23

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

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

Given numbers are 535, 252, 345, 720

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

Apply this formula for all numbers.

Step1:

LCM(535, 252) = 134820

GCD(535, 252) = ( 535 x 252 ) / 134820

= 535 / 252

= 535

Step2:

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

= 1 / 345

= 1

Step3:

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

= 1 / 720

= 1

So, Greatest Common Divisor of 535, 252, 345, 720 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 640, 249, 907, 534
• GCD of 315, 766, 577, 765
• GCD of 697, 542, 344, 588
• GCD of 356, 502, 841, 314
• GCD of 273, 217, 506, 983

Given numbers are 535, 252, 345, 720
The greatest common divisor of numbers 535, 252, 345, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 535, 252, 345, 720 is 1.

1. What is the GCD of 535, 252, 345, 720?

GCD of given numbers 535, 252, 345, 720 is 1

2. How to calculate the greatest common divisor of 535, 252, 345, 720?

We can find the highest common divisor of 535, 252, 345, 720 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 535, 252, 345, 720 i.e 1.

3. How can I use the GCD of 535, 252, 345, 720Calculator?

Out the numbers 535, 252, 345, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.