GCD of 614, 676, 989, 113 Calculator

Given Input numbers are 614, 676, 989, 113

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

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

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 989 :

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

1, 23, 43, 989

Divisors of 113 :

The positive integer divisors of 113 that completely divides 113 are.

1, 113

GCD of numbers is the greatest common divisor

So, the GCD (614, 676, 989, 113) = 1.

Given numbers are 614, 676, 989, 113

The list of prime factors of all numbers are

Prime factors of 614 are 2 x 307

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

Prime factors of 989 are 23 x 43

Prime factors of 113 are 113

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

Given numbers are 614, 676, 989, 113

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

Apply this formula for all numbers.

Step1:

LCM(614, 676) = 207532

GCD(614, 676) = ( 614 x 676 ) / 207532

= 614 / 676

= 614

Step2:

LCM(2, 989) = 1978

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

= 2 / 989

= 2

Step3:

LCM(1, 113) = 113

GCD(1, 113) = ( 1 x 113 ) / 113

= 1 / 113

= 1

So, Greatest Common Divisor of 614, 676, 989, 113 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 517, 900, 319, 933
• GCD of 571, 685, 118, 420
• GCD of 583, 385, 525, 172
• GCD of 179, 449, 274, 813
• GCD of 321, 464, 651, 252

Given numbers are 614, 676, 989, 113
The greatest common divisor of numbers 614, 676, 989, 113 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 614, 676, 989, 113 is 1.

1. What is the GCD of 614, 676, 989, 113?

GCD of given numbers 614, 676, 989, 113 is 1

2. How to calculate the greatest common divisor of 614, 676, 989, 113?

We can find the highest common divisor of 614, 676, 989, 113 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 614, 676, 989, 113 i.e 1.

3. How can I use the GCD of 614, 676, 989, 113Calculator?

Out the numbers 614, 676, 989, 113 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.