GCD of 988, 840, 676, 214 Calculator

Given Input numbers are 988, 840, 676, 214

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

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (988, 840, 676, 214) = 2.

Given numbers are 988, 840, 676, 214

The list of prime factors of all numbers are

Prime factors of 988 are 2 x 2 x 13 x 19

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

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 214 are 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 988, 840, 676, 214 is 2.

Given numbers are 988, 840, 676, 214

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

Apply this formula for all numbers.

Step1:

LCM(988, 840) = 207480

GCD(988, 840) = ( 988 x 840 ) / 207480

= 988 / 840

= 988

Step2:

LCM(4, 676) = 676

GCD(4, 676) = ( 4 x 676 ) / 676

= 4 / 676

= 4

Step3:

LCM(4, 214) = 428

GCD(4, 214) = ( 4 x 214 ) / 428

= 4 / 214

= 4

So, Greatest Common Divisor of 988, 840, 676, 214 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 995, 221, 752, 219
• GCD of 539, 866, 870, 633
• GCD of 996, 592, 773, 230
• GCD of 232, 887, 143, 973
• GCD of 409, 739, 239, 108

Given numbers are 988, 840, 676, 214
The greatest common divisor of numbers 988, 840, 676, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 840, 676, 214 is 2.

1. What is the GCD of 988, 840, 676, 214?

GCD of given numbers 988, 840, 676, 214 is 2

2. How to calculate the greatest common divisor of 988, 840, 676, 214?

We can find the highest common divisor of 988, 840, 676, 214 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 988, 840, 676, 214 i.e 2.

3. How can I use the GCD of 988, 840, 676, 214Calculator?

Out the numbers 988, 840, 676, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.