GCD of 240, 260, 726, 704 Calculator

Given Input numbers are 240, 260, 726, 704

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 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 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

GCD of numbers is the greatest common divisor

So, the GCD (240, 260, 726, 704) = 2.

Given numbers are 240, 260, 726, 704

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 260 are 2 x 2 x 5 x 13

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2¹

Therefore, GCD of 240, 260, 726, 704 is 2.

Given numbers are 240, 260, 726, 704

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

Apply this formula for all numbers.

Step1:

LCM(240, 260) = 3120

GCD(240, 260) = ( 240 x 260 ) / 3120

= 240 / 260

= 240

Step2:

LCM(20, 726) = 7260

GCD(20, 726) = ( 20 x 726 ) / 7260

= 20 / 726

= 20

Step3:

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

= 2 / 704

= 2

So, Greatest Common Divisor of 240, 260, 726, 704 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 425, 919, 610, 817
• GCD of 319, 581, 375, 185
• GCD of 785, 730, 609, 840
• GCD of 420, 784, 405, 569
• GCD of 345, 250, 567, 222

Given numbers are 240, 260, 726, 704
The greatest common divisor of numbers 240, 260, 726, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 260, 726, 704 is 2.

1. What is the GCD of 240, 260, 726, 704?

GCD of given numbers 240, 260, 726, 704 is 2

2. How to calculate the greatest common divisor of 240, 260, 726, 704?

We can find the highest common divisor of 240, 260, 726, 704 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, 260, 726, 704 i.e 2.

3. How can I use the GCD of 240, 260, 726, 704Calculator?

Out the numbers 240, 260, 726, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.