GCD of 704, 525, 829, 261 Calculator

Given Input numbers are 704, 525, 829, 261

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

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 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

GCD of numbers is the greatest common divisor

So, the GCD (704, 525, 829, 261) = 1.

Given numbers are 704, 525, 829, 261

The list of prime factors of all numbers are

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

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

Prime factors of 829 are 829

Prime factors of 261 are 3 x 3 x 29

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

Given numbers are 704, 525, 829, 261

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

Apply this formula for all numbers.

Step1:

LCM(704, 525) = 369600

GCD(704, 525) = ( 704 x 525 ) / 369600

= 704 / 525

= 704

Step2:

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

= 1 / 829

= 1

Step3:

LCM(1, 261) = 261

GCD(1, 261) = ( 1 x 261 ) / 261

= 1 / 261

= 1

So, Greatest Common Divisor of 704, 525, 829, 261 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 928, 517, 879, 715
• GCD of 207, 977, 756, 576
• GCD of 295, 782, 560, 325
• GCD of 679, 294, 709, 841
• GCD of 729, 137, 258, 102

Given numbers are 704, 525, 829, 261
The greatest common divisor of numbers 704, 525, 829, 261 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 525, 829, 261 is 1.

1. What is the GCD of 704, 525, 829, 261?

GCD of given numbers 704, 525, 829, 261 is 1

2. How to calculate the greatest common divisor of 704, 525, 829, 261?

We can find the highest common divisor of 704, 525, 829, 261 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 704, 525, 829, 261 i.e 1.

3. How can I use the GCD of 704, 525, 829, 261Calculator?

Out the numbers 704, 525, 829, 261 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.