GCD of 100, 696, 708, 280 Calculator

Given Input numbers are 100, 696, 708, 280

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

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

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 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 (100, 696, 708, 280) = 4.

Given numbers are 100, 696, 708, 280

The list of prime factors of all numbers are

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

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

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

The highest common occurrence is 2²

Therefore, GCD of 100, 696, 708, 280 is 4.

Given numbers are 100, 696, 708, 280

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

Apply this formula for all numbers.

Step1:

LCM(100, 696) = 17400

GCD(100, 696) = ( 100 x 696 ) / 17400

= 100 / 696

= 100

Step2:

LCM(4, 708) = 708

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

= 4 / 708

= 4

Step3:

LCM(4, 280) = 280

GCD(4, 280) = ( 4 x 280 ) / 280

= 4 / 280

= 4

So, Greatest Common Divisor of 100, 696, 708, 280 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 663, 761, 856, 543
• GCD of 133, 440, 585, 890
• GCD of 657, 795, 898, 890
• GCD of 131, 501, 294, 381
• GCD of 130, 642, 122, 431

Given numbers are 100, 696, 708, 280
The greatest common divisor of numbers 100, 696, 708, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 696, 708, 280 is 4.

1. What is the GCD of 100, 696, 708, 280?

GCD of given numbers 100, 696, 708, 280 is 4

2. How to calculate the greatest common divisor of 100, 696, 708, 280?

We can find the highest common divisor of 100, 696, 708, 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 100, 696, 708, 280 i.e 4.

3. How can I use the GCD of 100, 696, 708, 280Calculator?

Out the numbers 100, 696, 708, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.