GCD of 920, 224, 346, 680 Calculator

Given Input numbers are 920, 224, 346, 680

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

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

GCD of numbers is the greatest common divisor

So, the GCD (920, 224, 346, 680) = 2.

Given numbers are 920, 224, 346, 680

The list of prime factors of all numbers are

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 346 are 2 x 173

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 920, 224, 346, 680 is 2.

Given numbers are 920, 224, 346, 680

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

Apply this formula for all numbers.

Step1:

LCM(920, 224) = 25760

GCD(920, 224) = ( 920 x 224 ) / 25760

= 920 / 224

= 920

Step2:

LCM(8, 346) = 1384

GCD(8, 346) = ( 8 x 346 ) / 1384

= 8 / 346

= 8

Step3:

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

= 2 / 680

= 2

So, Greatest Common Divisor of 920, 224, 346, 680 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 676, 532, 767, 144
• GCD of 560, 606, 375, 146
• GCD of 943, 532, 335, 784
• GCD of 259, 193, 577, 798
• GCD of 530, 251, 570, 171

Given numbers are 920, 224, 346, 680
The greatest common divisor of numbers 920, 224, 346, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 224, 346, 680 is 2.

1. What is the GCD of 920, 224, 346, 680?

GCD of given numbers 920, 224, 346, 680 is 2

2. How to calculate the greatest common divisor of 920, 224, 346, 680?

We can find the highest common divisor of 920, 224, 346, 680 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 920, 224, 346, 680 i.e 2.

3. How can I use the GCD of 920, 224, 346, 680Calculator?

Out the numbers 920, 224, 346, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.