GCD of 104, 270, 700, 182 Calculator

Given Input numbers are 104, 270, 700, 182

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

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

GCD of numbers is the greatest common divisor

So, the GCD (104, 270, 700, 182) = 2.

Given numbers are 104, 270, 700, 182

The list of prime factors of all numbers are

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 182 are 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 104, 270, 700, 182 is 2.

Given numbers are 104, 270, 700, 182

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

Apply this formula for all numbers.

Step1:

LCM(104, 270) = 14040

GCD(104, 270) = ( 104 x 270 ) / 14040

= 104 / 270

= 104

Step2:

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

= 2 / 700

= 2

Step3:

LCM(2, 182) = 182

GCD(2, 182) = ( 2 x 182 ) / 182

= 2 / 182

= 2

So, Greatest Common Divisor of 104, 270, 700, 182 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 640, 480, 854, 571
• GCD of 333, 231, 460, 697
• GCD of 680, 867, 465, 965
• GCD of 486, 595, 346, 476
• GCD of 273, 547, 192, 371

Given numbers are 104, 270, 700, 182
The greatest common divisor of numbers 104, 270, 700, 182 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 270, 700, 182 is 2.

1. What is the GCD of 104, 270, 700, 182?

GCD of given numbers 104, 270, 700, 182 is 2

2. How to calculate the greatest common divisor of 104, 270, 700, 182?

We can find the highest common divisor of 104, 270, 700, 182 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 104, 270, 700, 182 i.e 2.

3. How can I use the GCD of 104, 270, 700, 182Calculator?

Out the numbers 104, 270, 700, 182 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.