GCD of 284, 714, 674, 989 Calculator

Given Input numbers are 284, 714, 674, 989

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

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

GCD of numbers is the greatest common divisor

So, the GCD (284, 714, 674, 989) = 1.

Given numbers are 284, 714, 674, 989

The list of prime factors of all numbers are

Prime factors of 284 are 2 x 2 x 71

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 674 are 2 x 337

Prime factors of 989 are 23 x 43

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 284, 714, 674, 989

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

Apply this formula for all numbers.

Step1:

LCM(284, 714) = 101388

GCD(284, 714) = ( 284 x 714 ) / 101388

= 284 / 714

= 284

Step2:

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

= 2 / 674

= 2

Step3:

LCM(2, 989) = 1978

GCD(2, 989) = ( 2 x 989 ) / 1978

= 2 / 989

= 2

So, Greatest Common Divisor of 284, 714, 674, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 510, 444, 934, 374
• GCD of 304, 175, 907, 281
• GCD of 634, 796, 491, 505
• GCD of 683, 864, 953, 751
• GCD of 262, 736, 139, 236

Given numbers are 284, 714, 674, 989
The greatest common divisor of numbers 284, 714, 674, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 284, 714, 674, 989 is 1.

1. What is the GCD of 284, 714, 674, 989?

GCD of given numbers 284, 714, 674, 989 is 1

2. How to calculate the greatest common divisor of 284, 714, 674, 989?

We can find the highest common divisor of 284, 714, 674, 989 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 284, 714, 674, 989 i.e 1.

3. How can I use the GCD of 284, 714, 674, 989Calculator?

Out the numbers 284, 714, 674, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.