GCD of 732, 758, 676, 240 Calculator

Given Input numbers are 732, 758, 676, 240

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

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

GCD of numbers is the greatest common divisor

So, the GCD (732, 758, 676, 240) = 2.

Given numbers are 732, 758, 676, 240

The list of prime factors of all numbers are

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 758 are 2 x 379

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 732, 758, 676, 240 is 2.

Given numbers are 732, 758, 676, 240

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

Apply this formula for all numbers.

Step1:

LCM(732, 758) = 277428

GCD(732, 758) = ( 732 x 758 ) / 277428

= 732 / 758

= 732

Step2:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

Step3:

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

= 2 / 240

= 2

So, Greatest Common Divisor of 732, 758, 676, 240 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 606, 944, 216, 742
• GCD of 891, 666, 812, 226
• GCD of 145, 500, 691, 202
• GCD of 933, 335, 203, 808
• GCD of 489, 772, 977, 244

Given numbers are 732, 758, 676, 240
The greatest common divisor of numbers 732, 758, 676, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 758, 676, 240 is 2.

1. What is the GCD of 732, 758, 676, 240?

GCD of given numbers 732, 758, 676, 240 is 2

2. How to calculate the greatest common divisor of 732, 758, 676, 240?

We can find the highest common divisor of 732, 758, 676, 240 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 732, 758, 676, 240 i.e 2.

3. How can I use the GCD of 732, 758, 676, 240Calculator?

Out the numbers 732, 758, 676, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.