GCD of 280, 708, 704, 360 Calculator

Given Input numbers are 280, 708, 704, 360

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

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

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (280, 708, 704, 360) = 4.

Given numbers are 280, 708, 704, 360

The list of prime factors of all numbers are

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

Prime factors of 708 are 2 x 2 x 3 x 59

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

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2²

Therefore, GCD of 280, 708, 704, 360 is 4.

Given numbers are 280, 708, 704, 360

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

Apply this formula for all numbers.

Step1:

LCM(280, 708) = 49560

GCD(280, 708) = ( 280 x 708 ) / 49560

= 280 / 708

= 280

Step2:

LCM(4, 704) = 704

GCD(4, 704) = ( 4 x 704 ) / 704

= 4 / 704

= 4

Step3:

LCM(4, 360) = 360

GCD(4, 360) = ( 4 x 360 ) / 360

= 4 / 360

= 4

So, Greatest Common Divisor of 280, 708, 704, 360 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 941, 282, 430, 660
• GCD of 872, 770, 995, 581
• GCD of 407, 660, 733, 962
• GCD of 216, 389, 375, 480
• GCD of 894, 186, 256, 950

Given numbers are 280, 708, 704, 360
The greatest common divisor of numbers 280, 708, 704, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 708, 704, 360 is 4.

1. What is the GCD of 280, 708, 704, 360?

GCD of given numbers 280, 708, 704, 360 is 4

2. How to calculate the greatest common divisor of 280, 708, 704, 360?

We can find the highest common divisor of 280, 708, 704, 360 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 280, 708, 704, 360 i.e 4.

3. How can I use the GCD of 280, 708, 704, 360Calculator?

Out the numbers 280, 708, 704, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.