GCD of 705, 952, 209, 828 Calculator

Given Input numbers are 705, 952, 209, 828

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (705, 952, 209, 828) = 1.

Given numbers are 705, 952, 209, 828

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 209 are 11 x 19

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

Given numbers are 705, 952, 209, 828

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

Apply this formula for all numbers.

Step1:

LCM(705, 952) = 671160

GCD(705, 952) = ( 705 x 952 ) / 671160

= 705 / 952

= 705

Step2:

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

= 1 / 209

= 1

Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

So, Greatest Common Divisor of 705, 952, 209, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 840, 917, 877, 315
• GCD of 256, 939, 568, 171
• GCD of 672, 976, 633, 579
• GCD of 960, 227, 655, 140
• GCD of 303, 760, 716, 310

Given numbers are 705, 952, 209, 828
The greatest common divisor of numbers 705, 952, 209, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 952, 209, 828 is 1.

1. What is the GCD of 705, 952, 209, 828?

GCD of given numbers 705, 952, 209, 828 is 1

2. How to calculate the greatest common divisor of 705, 952, 209, 828?

We can find the highest common divisor of 705, 952, 209, 828 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 705, 952, 209, 828 i.e 1.

3. How can I use the GCD of 705, 952, 209, 828Calculator?

Out the numbers 705, 952, 209, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.