GCD of 736, 472, 548, 274 Calculator

Given Input numbers are 736, 472, 548, 274

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

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

GCD of numbers is the greatest common divisor

So, the GCD (736, 472, 548, 274) = 2.

Given numbers are 736, 472, 548, 274

The list of prime factors of all numbers are

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 548 are 2 x 2 x 137

Prime factors of 274 are 2 x 137

The highest common occurrence is 2¹

Therefore, GCD of 736, 472, 548, 274 is 2.

Given numbers are 736, 472, 548, 274

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

Apply this formula for all numbers.

Step1:

LCM(736, 472) = 43424

GCD(736, 472) = ( 736 x 472 ) / 43424

= 736 / 472

= 736

Step2:

LCM(8, 548) = 1096

GCD(8, 548) = ( 8 x 548 ) / 1096

= 8 / 548

= 8

Step3:

LCM(4, 274) = 548

GCD(4, 274) = ( 4 x 274 ) / 548

= 4 / 274

= 4

So, Greatest Common Divisor of 736, 472, 548, 274 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 231, 955, 462, 654
• GCD of 209, 242, 961, 540
• GCD of 342, 302, 528, 653
• GCD of 993, 839, 438, 224
• GCD of 153, 444, 397, 604

Given numbers are 736, 472, 548, 274
The greatest common divisor of numbers 736, 472, 548, 274 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 472, 548, 274 is 2.

1. What is the GCD of 736, 472, 548, 274?

GCD of given numbers 736, 472, 548, 274 is 2

2. How to calculate the greatest common divisor of 736, 472, 548, 274?

We can find the highest common divisor of 736, 472, 548, 274 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 736, 472, 548, 274 i.e 2.

3. How can I use the GCD of 736, 472, 548, 274Calculator?

Out the numbers 736, 472, 548, 274 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.