GCD of 700, 336, 508, 198 Calculator

Given Input numbers are 700, 336, 508, 198

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

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

GCD of numbers is the greatest common divisor

So, the GCD (700, 336, 508, 198) = 2.

Given numbers are 700, 336, 508, 198

The list of prime factors of all numbers are

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 508 are 2 x 2 x 127

Prime factors of 198 are 2 x 3 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 700, 336, 508, 198 is 2.

Given numbers are 700, 336, 508, 198

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

Apply this formula for all numbers.

Step1:

LCM(700, 336) = 8400

GCD(700, 336) = ( 700 x 336 ) / 8400

= 700 / 336

= 700

Step2:

LCM(28, 508) = 3556

GCD(28, 508) = ( 28 x 508 ) / 3556

= 28 / 508

= 28

Step3:

LCM(4, 198) = 396

GCD(4, 198) = ( 4 x 198 ) / 396

= 4 / 198

= 4

So, Greatest Common Divisor of 700, 336, 508, 198 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 191, 214, 658, 117
• GCD of 456, 208, 310, 488
• GCD of 513, 787, 171, 896
• GCD of 118, 795, 412, 722
• GCD of 834, 640, 916, 875

Given numbers are 700, 336, 508, 198
The greatest common divisor of numbers 700, 336, 508, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 336, 508, 198 is 2.

1. What is the GCD of 700, 336, 508, 198?

GCD of given numbers 700, 336, 508, 198 is 2

2. How to calculate the greatest common divisor of 700, 336, 508, 198?

We can find the highest common divisor of 700, 336, 508, 198 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 700, 336, 508, 198 i.e 2.

3. How can I use the GCD of 700, 336, 508, 198Calculator?

Out the numbers 700, 336, 508, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.