GCD of 349, 525, 712, 687 Calculator

Given Input numbers are 349, 525, 712, 687

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

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (349, 525, 712, 687) = 1.

Given numbers are 349, 525, 712, 687

The list of prime factors of all numbers are

Prime factors of 349 are 349

Prime factors of 525 are 3 x 5 x 5 x 7

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 687 are 3 x 229

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

Given numbers are 349, 525, 712, 687

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

Apply this formula for all numbers.

Step1:

LCM(349, 525) = 183225

GCD(349, 525) = ( 349 x 525 ) / 183225

= 349 / 525

= 349

Step2:

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

= 1 / 712

= 1

Step3:

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

= 1 / 687

= 1

So, Greatest Common Divisor of 349, 525, 712, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 661, 363, 733, 381
• GCD of 692, 452, 682, 690
• GCD of 100, 214, 269, 608
• GCD of 461, 931, 761, 682
• GCD of 431, 490, 781, 722

Given numbers are 349, 525, 712, 687
The greatest common divisor of numbers 349, 525, 712, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 349, 525, 712, 687 is 1.

1. What is the GCD of 349, 525, 712, 687?

GCD of given numbers 349, 525, 712, 687 is 1

2. How to calculate the greatest common divisor of 349, 525, 712, 687?

We can find the highest common divisor of 349, 525, 712, 687 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 349, 525, 712, 687 i.e 1.

3. How can I use the GCD of 349, 525, 712, 687Calculator?

Out the numbers 349, 525, 712, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.