GCD of 698, 574, 716, 840 Calculator

Given Input numbers are 698, 574, 716, 840

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

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 716 :

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

1, 2, 4, 179, 358, 716

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

GCD of numbers is the greatest common divisor

So, the GCD (698, 574, 716, 840) = 2.

Given numbers are 698, 574, 716, 840

The list of prime factors of all numbers are

Prime factors of 698 are 2 x 349

Prime factors of 574 are 2 x 7 x 41

Prime factors of 716 are 2 x 2 x 179

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 698, 574, 716, 840 is 2.

Given numbers are 698, 574, 716, 840

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

Apply this formula for all numbers.

Step1:

LCM(698, 574) = 200326

GCD(698, 574) = ( 698 x 574 ) / 200326

= 698 / 574

= 698

Step2:

LCM(2, 716) = 716

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

= 2 / 716

= 2

Step3:

LCM(2, 840) = 840

GCD(2, 840) = ( 2 x 840 ) / 840

= 2 / 840

= 2

So, Greatest Common Divisor of 698, 574, 716, 840 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 858, 155, 696, 593
• GCD of 331, 473, 708, 557
• GCD of 348, 949, 433, 463
• GCD of 316, 888, 485, 981
• GCD of 350, 643, 405, 842

Given numbers are 698, 574, 716, 840
The greatest common divisor of numbers 698, 574, 716, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 574, 716, 840 is 2.

1. What is the GCD of 698, 574, 716, 840?

GCD of given numbers 698, 574, 716, 840 is 2

2. How to calculate the greatest common divisor of 698, 574, 716, 840?

We can find the highest common divisor of 698, 574, 716, 840 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 698, 574, 716, 840 i.e 2.

3. How can I use the GCD of 698, 574, 716, 840Calculator?

Out the numbers 698, 574, 716, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.