GCD of 736, 280, 612, 298 Calculator

Given Input numbers are 736, 280, 612, 298

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 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

GCD of numbers is the greatest common divisor

So, the GCD (736, 280, 612, 298) = 2.

Given numbers are 736, 280, 612, 298

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 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 298 are 2 x 149

The highest common occurrence is 2¹

Therefore, GCD of 736, 280, 612, 298 is 2.

Given numbers are 736, 280, 612, 298

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

Apply this formula for all numbers.

Step1:

LCM(736, 280) = 25760

GCD(736, 280) = ( 736 x 280 ) / 25760

= 736 / 280

= 736

Step2:

LCM(8, 612) = 1224

GCD(8, 612) = ( 8 x 612 ) / 1224

= 8 / 612

= 8

Step3:

LCM(4, 298) = 596

GCD(4, 298) = ( 4 x 298 ) / 596

= 4 / 298

= 4

So, Greatest Common Divisor of 736, 280, 612, 298 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 317, 731, 509, 299
• GCD of 544, 392, 643, 112
• GCD of 613, 461, 670, 786
• GCD of 520, 495, 505, 945
• GCD of 738, 183, 561, 766

Given numbers are 736, 280, 612, 298
The greatest common divisor of numbers 736, 280, 612, 298 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 280, 612, 298 is 2.

1. What is the GCD of 736, 280, 612, 298?

GCD of given numbers 736, 280, 612, 298 is 2

2. How to calculate the greatest common divisor of 736, 280, 612, 298?

We can find the highest common divisor of 736, 280, 612, 298 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, 280, 612, 298 i.e 2.

3. How can I use the GCD of 736, 280, 612, 298Calculator?

Out the numbers 736, 280, 612, 298 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.