GCD of 702, 278, 960, 418 Calculator

Given Input numbers are 702, 278, 960, 418

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

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

GCD of numbers is the greatest common divisor

So, the GCD (702, 278, 960, 418) = 2.

Given numbers are 702, 278, 960, 418

The list of prime factors of all numbers are

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 278 are 2 x 139

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 418 are 2 x 11 x 19

The highest common occurrence is 2¹

Therefore, GCD of 702, 278, 960, 418 is 2.

Given numbers are 702, 278, 960, 418

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

Apply this formula for all numbers.

Step1:

LCM(702, 278) = 97578

GCD(702, 278) = ( 702 x 278 ) / 97578

= 702 / 278

= 702

Step2:

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

= 2 / 960

= 2

Step3:

LCM(2, 418) = 418

GCD(2, 418) = ( 2 x 418 ) / 418

= 2 / 418

= 2

So, Greatest Common Divisor of 702, 278, 960, 418 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 274, 211, 568, 972
• GCD of 216, 361, 706, 755
• GCD of 829, 854, 125, 796
• GCD of 476, 309, 137, 702
• GCD of 505, 176, 133, 572

Given numbers are 702, 278, 960, 418
The greatest common divisor of numbers 702, 278, 960, 418 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 278, 960, 418 is 2.

1. What is the GCD of 702, 278, 960, 418?

GCD of given numbers 702, 278, 960, 418 is 2

2. How to calculate the greatest common divisor of 702, 278, 960, 418?

We can find the highest common divisor of 702, 278, 960, 418 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 702, 278, 960, 418 i.e 2.

3. How can I use the GCD of 702, 278, 960, 418Calculator?

Out the numbers 702, 278, 960, 418 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.