GCD of 240, 102, 762, 736 Calculator

Given Input numbers are 240, 102, 762, 736

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

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

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

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

GCD of numbers is the greatest common divisor

So, the GCD (240, 102, 762, 736) = 2.

Given numbers are 240, 102, 762, 736

The list of prime factors of all numbers are

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

Prime factors of 102 are 2 x 3 x 17

Prime factors of 762 are 2 x 3 x 127

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

The highest common occurrence is 2¹

Therefore, GCD of 240, 102, 762, 736 is 2.

Given numbers are 240, 102, 762, 736

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

Apply this formula for all numbers.

Step1:

LCM(240, 102) = 4080

GCD(240, 102) = ( 240 x 102 ) / 4080

= 240 / 102

= 240

Step2:

LCM(6, 762) = 762

GCD(6, 762) = ( 6 x 762 ) / 762

= 6 / 762

= 6

Step3:

LCM(6, 736) = 2208

GCD(6, 736) = ( 6 x 736 ) / 2208

= 6 / 736

= 6

So, Greatest Common Divisor of 240, 102, 762, 736 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 375, 635, 978, 462
• GCD of 422, 502, 373, 672
• GCD of 946, 635, 667, 398
• GCD of 679, 273, 937, 806
• GCD of 133, 550, 408, 663

Given numbers are 240, 102, 762, 736
The greatest common divisor of numbers 240, 102, 762, 736 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 102, 762, 736 is 2.

1. What is the GCD of 240, 102, 762, 736?

GCD of given numbers 240, 102, 762, 736 is 2

2. How to calculate the greatest common divisor of 240, 102, 762, 736?

We can find the highest common divisor of 240, 102, 762, 736 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 240, 102, 762, 736 i.e 2.

3. How can I use the GCD of 240, 102, 762, 736Calculator?

Out the numbers 240, 102, 762, 736 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.