GCD of 840, 200, 660, 698 Calculator

Given Input numbers are 840, 200, 660, 698

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

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

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 698 :

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

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (840, 200, 660, 698) = 2.

Given numbers are 840, 200, 660, 698

The list of prime factors of all numbers are

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

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 698 are 2 x 349

The highest common occurrence is 2¹

Therefore, GCD of 840, 200, 660, 698 is 2.

Given numbers are 840, 200, 660, 698

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

Apply this formula for all numbers.

Step1:

LCM(840, 200) = 4200

GCD(840, 200) = ( 840 x 200 ) / 4200

= 840 / 200

= 840

Step2:

LCM(40, 660) = 1320

GCD(40, 660) = ( 40 x 660 ) / 1320

= 40 / 660

= 40

Step3:

LCM(20, 698) = 6980

GCD(20, 698) = ( 20 x 698 ) / 6980

= 20 / 698

= 20

So, Greatest Common Divisor of 840, 200, 660, 698 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 518, 227, 352, 259
• GCD of 973, 428, 803, 895
• GCD of 529, 154, 828, 831
• GCD of 336, 506, 529, 671
• GCD of 526, 601, 528, 299

Given numbers are 840, 200, 660, 698
The greatest common divisor of numbers 840, 200, 660, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 200, 660, 698 is 2.

1. What is the GCD of 840, 200, 660, 698?

GCD of given numbers 840, 200, 660, 698 is 2

2. How to calculate the greatest common divisor of 840, 200, 660, 698?

We can find the highest common divisor of 840, 200, 660, 698 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 840, 200, 660, 698 i.e 2.

3. How can I use the GCD of 840, 200, 660, 698Calculator?

Out the numbers 840, 200, 660, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.