GCD of 736, 658, 10, 540 Calculator

Given Input numbers are 736, 658, 10, 540

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 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 10 :

The positive integer divisors of 10 that completely divides 10 are.

1, 2, 5, 10

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

GCD of numbers is the greatest common divisor

So, the GCD (736, 658, 10, 540) = 2.

Given numbers are 736, 658, 10, 540

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 658 are 2 x 7 x 47

Prime factors of 10 are 2 x 5

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 736, 658, 10, 540 is 2.

Given numbers are 736, 658, 10, 540

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

Apply this formula for all numbers.

Step1:

LCM(736, 658) = 242144

GCD(736, 658) = ( 736 x 658 ) / 242144

= 736 / 658

= 736

Step2:

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

= 2 / 10

= 2

Step3:

LCM(2, 540) = 540

GCD(2, 540) = ( 2 x 540 ) / 540

= 2 / 540

= 2

So, Greatest Common Divisor of 736, 658, 10, 540 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 461, 703, 97, 165
• GCD of 996, 115, 99, 813
• GCD of 815, 721, 21, 687
• GCD of 757, 463, 66, 999
• GCD of 279, 565, 37, 858

Given numbers are 736, 658, 10, 540
The greatest common divisor of numbers 736, 658, 10, 540 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 658, 10, 540 is 2.

1. What is the GCD of 736, 658, 10, 540?

GCD of given numbers 736, 658, 10, 540 is 2

2. How to calculate the greatest common divisor of 736, 658, 10, 540?

We can find the highest common divisor of 736, 658, 10, 540 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, 658, 10, 540 i.e 2.

3. How can I use the GCD of 736, 658, 10, 540Calculator?

Out the numbers 736, 658, 10, 540 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.