GCD of 704, 738, 526, 242 Calculator

Given Input numbers are 704, 738, 526, 242

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 526 :

The positive integer divisors of 526 that completely divides 526 are.

1, 2, 263, 526

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

GCD of numbers is the greatest common divisor

So, the GCD (704, 738, 526, 242) = 2.

Given numbers are 704, 738, 526, 242

The list of prime factors of all numbers are

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 526 are 2 x 263

Prime factors of 242 are 2 x 11 x 11

The highest common occurrence is 2¹

Therefore, GCD of 704, 738, 526, 242 is 2.

Given numbers are 704, 738, 526, 242

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

Apply this formula for all numbers.

Step1:

LCM(704, 738) = 259776

GCD(704, 738) = ( 704 x 738 ) / 259776

= 704 / 738

= 704

Step2:

LCM(2, 526) = 526

GCD(2, 526) = ( 2 x 526 ) / 526

= 2 / 526

= 2

Step3:

LCM(2, 242) = 242

GCD(2, 242) = ( 2 x 242 ) / 242

= 2 / 242

= 2

So, Greatest Common Divisor of 704, 738, 526, 242 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 209, 999, 461, 947
• GCD of 783, 611, 728, 682
• GCD of 598, 207, 398, 658
• GCD of 359, 900, 611, 437
• GCD of 779, 213, 595, 809

Given numbers are 704, 738, 526, 242
The greatest common divisor of numbers 704, 738, 526, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 738, 526, 242 is 2.

1. What is the GCD of 704, 738, 526, 242?

GCD of given numbers 704, 738, 526, 242 is 2

2. How to calculate the greatest common divisor of 704, 738, 526, 242?

We can find the highest common divisor of 704, 738, 526, 242 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 704, 738, 526, 242 i.e 2.

3. How can I use the GCD of 704, 738, 526, 242Calculator?

Out the numbers 704, 738, 526, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.