GCD of 744, 202, 268, 688 Calculator

Given Input numbers are 744, 202, 268, 688

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

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202

Divisors of 268 :

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

1, 2, 4, 67, 134, 268

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

GCD of numbers is the greatest common divisor

So, the GCD (744, 202, 268, 688) = 2.

Given numbers are 744, 202, 268, 688

The list of prime factors of all numbers are

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 202 are 2 x 101

Prime factors of 268 are 2 x 2 x 67

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 744, 202, 268, 688 is 2.

Given numbers are 744, 202, 268, 688

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

Apply this formula for all numbers.

Step1:

LCM(744, 202) = 75144

GCD(744, 202) = ( 744 x 202 ) / 75144

= 744 / 202

= 744

Step2:

LCM(2, 268) = 268

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

= 2 / 268

= 2

Step3:

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

= 2 / 688

= 2

So, Greatest Common Divisor of 744, 202, 268, 688 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 653, 938, 104, 659
• GCD of 614, 817, 466, 294
• GCD of 157, 584, 617, 782
• GCD of 158, 296, 843, 543
• GCD of 274, 871, 249, 520

Given numbers are 744, 202, 268, 688
The greatest common divisor of numbers 744, 202, 268, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 202, 268, 688 is 2.

1. What is the GCD of 744, 202, 268, 688?

GCD of given numbers 744, 202, 268, 688 is 2

2. How to calculate the greatest common divisor of 744, 202, 268, 688?

We can find the highest common divisor of 744, 202, 268, 688 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 744, 202, 268, 688 i.e 2.

3. How can I use the GCD of 744, 202, 268, 688Calculator?

Out the numbers 744, 202, 268, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.