GCD of 348, 524, 742, 726 Calculator

Given Input numbers are 348, 524, 742, 726

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

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

GCD of numbers is the greatest common divisor

So, the GCD (348, 524, 742, 726) = 2.

Given numbers are 348, 524, 742, 726

The list of prime factors of all numbers are

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 524 are 2 x 2 x 131

Prime factors of 742 are 2 x 7 x 53

Prime factors of 726 are 2 x 3 x 11 x 11

The highest common occurrence is 2¹

Therefore, GCD of 348, 524, 742, 726 is 2.

Given numbers are 348, 524, 742, 726

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

Apply this formula for all numbers.

Step1:

LCM(348, 524) = 45588

GCD(348, 524) = ( 348 x 524 ) / 45588

= 348 / 524

= 348

Step2:

LCM(4, 742) = 1484

GCD(4, 742) = ( 4 x 742 ) / 1484

= 4 / 742

= 4

Step3:

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

= 2 / 726

= 2

So, Greatest Common Divisor of 348, 524, 742, 726 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 122, 343, 658, 388
• GCD of 149, 603, 221, 885
• GCD of 110, 535, 228, 861
• GCD of 703, 413, 863, 622
• GCD of 888, 416, 334, 187

Given numbers are 348, 524, 742, 726
The greatest common divisor of numbers 348, 524, 742, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 524, 742, 726 is 2.

1. What is the GCD of 348, 524, 742, 726?

GCD of given numbers 348, 524, 742, 726 is 2

2. How to calculate the greatest common divisor of 348, 524, 742, 726?

We can find the highest common divisor of 348, 524, 742, 726 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 348, 524, 742, 726 i.e 2.

3. How can I use the GCD of 348, 524, 742, 726Calculator?

Out the numbers 348, 524, 742, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.