GCD of 690, 832, 506, 896 Calculator

Given Input numbers are 690, 832, 506, 896

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 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

GCD of numbers is the greatest common divisor

So, the GCD (690, 832, 506, 896) = 2.

Given numbers are 690, 832, 506, 896

The list of prime factors of all numbers are

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

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 506 are 2 x 11 x 23

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 690, 832, 506, 896 is 2.

Given numbers are 690, 832, 506, 896

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

Apply this formula for all numbers.

Step1:

LCM(690, 832) = 287040

GCD(690, 832) = ( 690 x 832 ) / 287040

= 690 / 832

= 690

Step2:

LCM(2, 506) = 506

GCD(2, 506) = ( 2 x 506 ) / 506

= 2 / 506

= 2

Step3:

LCM(2, 896) = 896

GCD(2, 896) = ( 2 x 896 ) / 896

= 2 / 896

= 2

So, Greatest Common Divisor of 690, 832, 506, 896 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 231, 712, 296, 861
• GCD of 835, 760, 448, 261
• GCD of 503, 407, 423, 438
• GCD of 956, 169, 400, 931
• GCD of 340, 922, 221, 528

Given numbers are 690, 832, 506, 896
The greatest common divisor of numbers 690, 832, 506, 896 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 832, 506, 896 is 2.

1. What is the GCD of 690, 832, 506, 896?

GCD of given numbers 690, 832, 506, 896 is 2

2. How to calculate the greatest common divisor of 690, 832, 506, 896?

We can find the highest common divisor of 690, 832, 506, 896 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, 832, 506, 896 i.e 2.

3. How can I use the GCD of 690, 832, 506, 896Calculator?

Out the numbers 690, 832, 506, 896 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.