GCD of 280, 682, 698, 296 Calculator

Given Input numbers are 280, 682, 698, 296

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 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

GCD of numbers is the greatest common divisor

So, the GCD (280, 682, 698, 296) = 2.

Given numbers are 280, 682, 698, 296

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 682 are 2 x 11 x 31

Prime factors of 698 are 2 x 349

Prime factors of 296 are 2 x 2 x 2 x 37

The highest common occurrence is 2¹

Therefore, GCD of 280, 682, 698, 296 is 2.

Given numbers are 280, 682, 698, 296

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

Apply this formula for all numbers.

Step1:

LCM(280, 682) = 95480

GCD(280, 682) = ( 280 x 682 ) / 95480

= 280 / 682

= 280

Step2:

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

= 2 / 698

= 2

Step3:

LCM(2, 296) = 296

GCD(2, 296) = ( 2 x 296 ) / 296

= 2 / 296

= 2

So, Greatest Common Divisor of 280, 682, 698, 296 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 822, 532, 133, 484
• GCD of 185, 592, 466, 875
• GCD of 744, 443, 353, 556
• GCD of 779, 225, 133, 460
• GCD of 686, 192, 924, 706

Given numbers are 280, 682, 698, 296
The greatest common divisor of numbers 280, 682, 698, 296 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 682, 698, 296 is 2.

1. What is the GCD of 280, 682, 698, 296?

GCD of given numbers 280, 682, 698, 296 is 2

2. How to calculate the greatest common divisor of 280, 682, 698, 296?

We can find the highest common divisor of 280, 682, 698, 296 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, 682, 698, 296 i.e 2.

3. How can I use the GCD of 280, 682, 698, 296Calculator?

Out the numbers 280, 682, 698, 296 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.