GCD of 280, 690, 894, 716 Calculator

Given Input numbers are 280, 690, 894, 716

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 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

GCD of numbers is the greatest common divisor

So, the GCD (280, 690, 894, 716) = 2.

Given numbers are 280, 690, 894, 716

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 690 are 2 x 3 x 5 x 23

Prime factors of 894 are 2 x 3 x 149

Prime factors of 716 are 2 x 2 x 179

The highest common occurrence is 2¹

Therefore, GCD of 280, 690, 894, 716 is 2.

Given numbers are 280, 690, 894, 716

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

Apply this formula for all numbers.

Step1:

LCM(280, 690) = 19320

GCD(280, 690) = ( 280 x 690 ) / 19320

= 280 / 690

= 280

Step2:

LCM(10, 894) = 4470

GCD(10, 894) = ( 10 x 894 ) / 4470

= 10 / 894

= 10

Step3:

LCM(2, 716) = 716

GCD(2, 716) = ( 2 x 716 ) / 716

= 2 / 716

= 2

So, Greatest Common Divisor of 280, 690, 894, 716 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 871, 997, 440, 559
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Given numbers are 280, 690, 894, 716
The greatest common divisor of numbers 280, 690, 894, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 690, 894, 716 is 2.

1. What is the GCD of 280, 690, 894, 716?

GCD of given numbers 280, 690, 894, 716 is 2

2. How to calculate the greatest common divisor of 280, 690, 894, 716?

We can find the highest common divisor of 280, 690, 894, 716 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, 690, 894, 716 i.e 2.

3. How can I use the GCD of 280, 690, 894, 716Calculator?

Out the numbers 280, 690, 894, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.