GCD of 698, 500, 648, 156 Calculator

Given Input numbers are 698, 500, 648, 156

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

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

GCD of numbers is the greatest common divisor

So, the GCD (698, 500, 648, 156) = 2.

Given numbers are 698, 500, 648, 156

The list of prime factors of all numbers are

Prime factors of 698 are 2 x 349

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 156 are 2 x 2 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 698, 500, 648, 156 is 2.

Given numbers are 698, 500, 648, 156

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

Apply this formula for all numbers.

Step1:

LCM(698, 500) = 174500

GCD(698, 500) = ( 698 x 500 ) / 174500

= 698 / 500

= 698

Step2:

LCM(2, 648) = 648

GCD(2, 648) = ( 2 x 648 ) / 648

= 2 / 648

= 2

Step3:

LCM(2, 156) = 156

GCD(2, 156) = ( 2 x 156 ) / 156

= 2 / 156

= 2

So, Greatest Common Divisor of 698, 500, 648, 156 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 357, 197, 329, 344
• GCD of 904, 391, 541, 932
• GCD of 710, 146, 644, 566
• GCD of 609, 297, 592, 473
• GCD of 991, 881, 249, 496

Given numbers are 698, 500, 648, 156
The greatest common divisor of numbers 698, 500, 648, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 500, 648, 156 is 2.

1. What is the GCD of 698, 500, 648, 156?

GCD of given numbers 698, 500, 648, 156 is 2

2. How to calculate the greatest common divisor of 698, 500, 648, 156?

We can find the highest common divisor of 698, 500, 648, 156 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 698, 500, 648, 156 i.e 2.

3. How can I use the GCD of 698, 500, 648, 156Calculator?

Out the numbers 698, 500, 648, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.