GCD of 960, 780, 414, 280 Calculator

Given Input numbers are 960, 780, 414, 280

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

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 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

GCD of numbers is the greatest common divisor

So, the GCD (960, 780, 414, 280) = 2.

Given numbers are 960, 780, 414, 280

The list of prime factors of all numbers are

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

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 960, 780, 414, 280 is 2.

Given numbers are 960, 780, 414, 280

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

Apply this formula for all numbers.

Step1:

LCM(960, 780) = 12480

GCD(960, 780) = ( 960 x 780 ) / 12480

= 960 / 780

= 960

Step2:

LCM(60, 414) = 4140

GCD(60, 414) = ( 60 x 414 ) / 4140

= 60 / 414

= 60

Step3:

LCM(6, 280) = 840

GCD(6, 280) = ( 6 x 280 ) / 840

= 6 / 280

= 6

So, Greatest Common Divisor of 960, 780, 414, 280 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 714, 954, 599, 606
• GCD of 926, 682, 923, 397
• GCD of 561, 969, 675, 242
• GCD of 461, 863, 174, 447
• GCD of 907, 455, 245, 180

Given numbers are 960, 780, 414, 280
The greatest common divisor of numbers 960, 780, 414, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 780, 414, 280 is 2.

1. What is the GCD of 960, 780, 414, 280?

GCD of given numbers 960, 780, 414, 280 is 2

2. How to calculate the greatest common divisor of 960, 780, 414, 280?

We can find the highest common divisor of 960, 780, 414, 280 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 960, 780, 414, 280 i.e 2.

3. How can I use the GCD of 960, 780, 414, 280Calculator?

Out the numbers 960, 780, 414, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.