GCD of 655, 355, 240, 680 Calculator

Given Input numbers are 655, 355, 240, 680

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

Divisors of 655 :

The positive integer divisors of 655 that completely divides 655 are.

1, 5, 131, 655

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

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 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

GCD of numbers is the greatest common divisor

So, the GCD (655, 355, 240, 680) = 5.

Given numbers are 655, 355, 240, 680

The list of prime factors of all numbers are

Prime factors of 655 are 5 x 131

Prime factors of 355 are 5 x 71

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

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

The highest common occurrence is 5¹

Therefore, GCD of 655, 355, 240, 680 is 5.

Given numbers are 655, 355, 240, 680

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

Apply this formula for all numbers.

Step1:

LCM(655, 355) = 46505

GCD(655, 355) = ( 655 x 355 ) / 46505

= 655 / 355

= 655

Step2:

LCM(5, 240) = 240

GCD(5, 240) = ( 5 x 240 ) / 240

= 5 / 240

= 5

Step3:

LCM(5, 680) = 680

GCD(5, 680) = ( 5 x 680 ) / 680

= 5 / 680

= 5

So, Greatest Common Divisor of 655, 355, 240, 680 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 719, 278, 198, 269
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• GCD of 994, 185, 784, 946
• GCD of 799, 606, 343, 257
• GCD of 233, 139, 341, 213

Given numbers are 655, 355, 240, 680
The greatest common divisor of numbers 655, 355, 240, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 655, 355, 240, 680 is 5.

1. What is the GCD of 655, 355, 240, 680?

GCD of given numbers 655, 355, 240, 680 is 5

2. How to calculate the greatest common divisor of 655, 355, 240, 680?

We can find the highest common divisor of 655, 355, 240, 680 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 655, 355, 240, 680 i.e 5.

3. How can I use the GCD of 655, 355, 240, 680Calculator?

Out the numbers 655, 355, 240, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.