GCD of 690, 920, 352, 680 Calculator

Given Input numbers are 690, 920, 352, 680

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

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

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 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

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 (690, 920, 352, 680) = 2.

Given numbers are 690, 920, 352, 680

The list of prime factors of all numbers are

Prime factors of 690 are 2 x 3 x 5 x 23

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

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

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

The highest common occurrence is 2¹

Therefore, GCD of 690, 920, 352, 680 is 2.

Given numbers are 690, 920, 352, 680

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

Apply this formula for all numbers.

Step1:

LCM(690, 920) = 2760

GCD(690, 920) = ( 690 x 920 ) / 2760

= 690 / 920

= 690

Step2:

LCM(230, 352) = 40480

GCD(230, 352) = ( 230 x 352 ) / 40480

= 230 / 352

= 230

Step3:

LCM(2, 680) = 680

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

= 2 / 680

= 2

So, Greatest Common Divisor of 690, 920, 352, 680 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 168, 853, 800, 871
• GCD of 735, 496, 383, 716
• GCD of 586, 949, 217, 431
• GCD of 224, 926, 202, 896
• GCD of 256, 667, 800, 274

Given numbers are 690, 920, 352, 680
The greatest common divisor of numbers 690, 920, 352, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 920, 352, 680 is 2.

1. What is the GCD of 690, 920, 352, 680?

GCD of given numbers 690, 920, 352, 680 is 2

2. How to calculate the greatest common divisor of 690, 920, 352, 680?

We can find the highest common divisor of 690, 920, 352, 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 690, 920, 352, 680 i.e 2.

3. How can I use the GCD of 690, 920, 352, 680Calculator?

Out the numbers 690, 920, 352, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.