GCD of 340, 840, 456, 172 Calculator

Given Input numbers are 340, 840, 456, 172

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

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (340, 840, 456, 172) = 4.

Given numbers are 340, 840, 456, 172

The list of prime factors of all numbers are

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 172 are 2 x 2 x 43

The highest common occurrence is 2²

Therefore, GCD of 340, 840, 456, 172 is 4.

Given numbers are 340, 840, 456, 172

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

Apply this formula for all numbers.

Step1:

LCM(340, 840) = 14280

GCD(340, 840) = ( 340 x 840 ) / 14280

= 340 / 840

= 340

Step2:

LCM(20, 456) = 2280

GCD(20, 456) = ( 20 x 456 ) / 2280

= 20 / 456

= 20

Step3:

LCM(4, 172) = 172

GCD(4, 172) = ( 4 x 172 ) / 172

= 4 / 172

= 4

So, Greatest Common Divisor of 340, 840, 456, 172 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 917, 947, 190, 810
• GCD of 639, 658, 696, 620
• GCD of 178, 796, 596, 498
• GCD of 183, 484, 194, 846
• GCD of 235, 215, 447, 379

Given numbers are 340, 840, 456, 172
The greatest common divisor of numbers 340, 840, 456, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 840, 456, 172 is 4.

1. What is the GCD of 340, 840, 456, 172?

GCD of given numbers 340, 840, 456, 172 is 4

2. How to calculate the greatest common divisor of 340, 840, 456, 172?

We can find the highest common divisor of 340, 840, 456, 172 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 340, 840, 456, 172 i.e 4.

3. How can I use the GCD of 340, 840, 456, 172Calculator?

Out the numbers 340, 840, 456, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.