GCD of 518, 698, 538, 160 Calculator

Given Input numbers are 518, 698, 538, 160

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

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

GCD of numbers is the greatest common divisor

So, the GCD (518, 698, 538, 160) = 2.

Given numbers are 518, 698, 538, 160

The list of prime factors of all numbers are

Prime factors of 518 are 2 x 7 x 37

Prime factors of 698 are 2 x 349

Prime factors of 538 are 2 x 269

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2¹

Therefore, GCD of 518, 698, 538, 160 is 2.

Given numbers are 518, 698, 538, 160

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

Apply this formula for all numbers.

Step1:

LCM(518, 698) = 180782

GCD(518, 698) = ( 518 x 698 ) / 180782

= 518 / 698

= 518

Step2:

LCM(2, 538) = 538

GCD(2, 538) = ( 2 x 538 ) / 538

= 2 / 538

= 2

Step3:

LCM(2, 160) = 160

GCD(2, 160) = ( 2 x 160 ) / 160

= 2 / 160

= 2

So, Greatest Common Divisor of 518, 698, 538, 160 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 540, 439, 849, 927
• GCD of 957, 904, 402, 532
• GCD of 878, 144, 687, 306
• GCD of 792, 307, 741, 819
• GCD of 866, 774, 121, 955

Given numbers are 518, 698, 538, 160
The greatest common divisor of numbers 518, 698, 538, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 518, 698, 538, 160 is 2.

1. What is the GCD of 518, 698, 538, 160?

GCD of given numbers 518, 698, 538, 160 is 2

2. How to calculate the greatest common divisor of 518, 698, 538, 160?

We can find the highest common divisor of 518, 698, 538, 160 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 518, 698, 538, 160 i.e 2.

3. How can I use the GCD of 518, 698, 538, 160Calculator?

Out the numbers 518, 698, 538, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.