GCD of 535, 152, 749, 315 Calculator

Given Input numbers are 535, 152, 749, 315

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 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

GCD of numbers is the greatest common divisor

So, the GCD (535, 152, 749, 315) = 1.

Given numbers are 535, 152, 749, 315

The list of prime factors of all numbers are

Prime factors of 535 are 5 x 107

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 749 are 7 x 107

Prime factors of 315 are 3 x 3 x 5 x 7

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

Given numbers are 535, 152, 749, 315

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

Apply this formula for all numbers.

Step1:

LCM(535, 152) = 81320

GCD(535, 152) = ( 535 x 152 ) / 81320

= 535 / 152

= 535

Step2:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1

Step3:

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

= 1 / 315

= 1

So, Greatest Common Divisor of 535, 152, 749, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 363, 298, 422, 446
• GCD of 333, 510, 245, 677
• GCD of 669, 163, 403, 567
• GCD of 333, 971, 396, 146
• GCD of 912, 806, 175, 121

Given numbers are 535, 152, 749, 315
The greatest common divisor of numbers 535, 152, 749, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 535, 152, 749, 315 is 1.

1. What is the GCD of 535, 152, 749, 315?

GCD of given numbers 535, 152, 749, 315 is 1

2. How to calculate the greatest common divisor of 535, 152, 749, 315?

We can find the highest common divisor of 535, 152, 749, 315 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, 152, 749, 315 i.e 1.

3. How can I use the GCD of 535, 152, 749, 315Calculator?

Out the numbers 535, 152, 749, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.