GCD of 648, 698, 272, 268 Calculator

Given Input numbers are 648, 698, 272, 268

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

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 698 :

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

1, 2, 349, 698

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

GCD of numbers is the greatest common divisor

So, the GCD (648, 698, 272, 268) = 2.

Given numbers are 648, 698, 272, 268

The list of prime factors of all numbers are

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

Prime factors of 698 are 2 x 349

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 268 are 2 x 2 x 67

The highest common occurrence is 2¹

Therefore, GCD of 648, 698, 272, 268 is 2.

Given numbers are 648, 698, 272, 268

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

Apply this formula for all numbers.

Step1:

LCM(648, 698) = 226152

GCD(648, 698) = ( 648 x 698 ) / 226152

= 648 / 698

= 648

Step2:

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

= 2 / 272

= 2

Step3:

LCM(2, 268) = 268

GCD(2, 268) = ( 2 x 268 ) / 268

= 2 / 268

= 2

So, Greatest Common Divisor of 648, 698, 272, 268 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 312, 702, 901, 148
• GCD of 127, 859, 336, 734
• GCD of 752, 759, 306, 377
• GCD of 279, 220, 729, 253
• GCD of 598, 366, 415, 271

Given numbers are 648, 698, 272, 268
The greatest common divisor of numbers 648, 698, 272, 268 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 698, 272, 268 is 2.

1. What is the GCD of 648, 698, 272, 268?

GCD of given numbers 648, 698, 272, 268 is 2

2. How to calculate the greatest common divisor of 648, 698, 272, 268?

We can find the highest common divisor of 648, 698, 272, 268 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 648, 698, 272, 268 i.e 2.

3. How can I use the GCD of 648, 698, 272, 268Calculator?

Out the numbers 648, 698, 272, 268 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.