GCD of 102, 705, 369 Calculator

Given Input numbers are 102, 705, 369

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

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 705 :

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

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

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

GCD of numbers is the greatest common divisor

So, the GCD (102, 705, 369) = 3.

Given numbers are 102, 705, 369

The list of prime factors of all numbers are

Prime factors of 102 are 2 x 3 x 17

Prime factors of 705 are 3 x 5 x 47

Prime factors of 369 are 3 x 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 102, 705, 369 is 3.

Given numbers are 102, 705, 369

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

Apply this formula for all numbers.

Step1:

LCM(102, 705) = 23970

GCD(102, 705) = ( 102 x 705 ) / 23970

= 102 / 705

= 102

Step2:

LCM(3, 369) = 369

GCD(3, 369) = ( 3 x 369 ) / 369

= 3 / 369

= 3

So, Greatest Common Divisor of 102, 705, 369 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 829, 341, 666
• GCD of 858, 866, 414
• GCD of 328, 696, 546
• GCD of 134, 183, 163
• GCD of 376, 316, 594

Given numbers are 102, 705, 369
The greatest common divisor of numbers 102, 705, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 102, 705, 369 is 3.

1. What is the GCD of 102, 705, 369?

GCD of given numbers 102, 705, 369 is 3

2. How to calculate the greatest common divisor of 102, 705, 369?

We can find the highest common divisor of 102, 705, 369 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 102, 705, 369 i.e 3.

3. How can I use the GCD of 102, 705, 369Calculator?

Out the numbers 102, 705, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.