GCD of 260, 688, 354, 240 Calculator

Given Input numbers are 260, 688, 354, 240

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

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

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 (260, 688, 354, 240) = 2.

Given numbers are 260, 688, 354, 240

The list of prime factors of all numbers are

Prime factors of 260 are 2 x 2 x 5 x 13

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 354 are 2 x 3 x 59

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 260, 688, 354, 240 is 2.

Given numbers are 260, 688, 354, 240

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

Apply this formula for all numbers.

Step1:

LCM(260, 688) = 44720

GCD(260, 688) = ( 260 x 688 ) / 44720

= 260 / 688

= 260

Step2:

LCM(4, 354) = 708

GCD(4, 354) = ( 4 x 354 ) / 708

= 4 / 354

= 4

Step3:

LCM(2, 240) = 240

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

= 2 / 240

= 2

So, Greatest Common Divisor of 260, 688, 354, 240 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 779, 790, 591, 539
• GCD of 451, 679, 444, 151
• GCD of 437, 444, 323, 413
• GCD of 559, 911, 306, 618
• GCD of 457, 268, 780, 835

Given numbers are 260, 688, 354, 240
The greatest common divisor of numbers 260, 688, 354, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 260, 688, 354, 240 is 2.

1. What is the GCD of 260, 688, 354, 240?

GCD of given numbers 260, 688, 354, 240 is 2

2. How to calculate the greatest common divisor of 260, 688, 354, 240?

We can find the highest common divisor of 260, 688, 354, 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 260, 688, 354, 240 i.e 2.

3. How can I use the GCD of 260, 688, 354, 240Calculator?

Out the numbers 260, 688, 354, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.