GCD of 345, 616, 989, 120 Calculator

Given Input numbers are 345, 616, 989, 120

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 989 :

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

1, 23, 43, 989

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

GCD of numbers is the greatest common divisor

So, the GCD (345, 616, 989, 120) = 1.

Given numbers are 345, 616, 989, 120

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 989 are 23 x 43

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

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

Given numbers are 345, 616, 989, 120

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

Apply this formula for all numbers.

Step1:

LCM(345, 616) = 212520

GCD(345, 616) = ( 345 x 616 ) / 212520

= 345 / 616

= 345

Step2:

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

= 1 / 989

= 1

Step3:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

So, Greatest Common Divisor of 345, 616, 989, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 728, 388, 881, 423
• GCD of 637, 528, 864, 228
• GCD of 540, 726, 241, 369
• GCD of 863, 153, 564, 876
• GCD of 103, 239, 256, 174

Given numbers are 345, 616, 989, 120
The greatest common divisor of numbers 345, 616, 989, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 616, 989, 120 is 1.

1. What is the GCD of 345, 616, 989, 120?

GCD of given numbers 345, 616, 989, 120 is 1

2. How to calculate the greatest common divisor of 345, 616, 989, 120?

We can find the highest common divisor of 345, 616, 989, 120 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 345, 616, 989, 120 i.e 1.

3. How can I use the GCD of 345, 616, 989, 120Calculator?

Out the numbers 345, 616, 989, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.