GCD of 945, 289, 120, 379 Calculator

Given Input numbers are 945, 289, 120, 379

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

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

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

Divisors of 379 :

The positive integer divisors of 379 that completely divides 379 are.

1, 379

GCD of numbers is the greatest common divisor

So, the GCD (945, 289, 120, 379) = 1.

Given numbers are 945, 289, 120, 379

The list of prime factors of all numbers are

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 289 are 17 x 17

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

Prime factors of 379 are 379

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

Given numbers are 945, 289, 120, 379

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

Apply this formula for all numbers.

Step1:

LCM(945, 289) = 273105

GCD(945, 289) = ( 945 x 289 ) / 273105

= 945 / 289

= 945

Step2:

LCM(1, 120) = 120

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

= 1 / 120

= 1

Step3:

LCM(1, 379) = 379

GCD(1, 379) = ( 1 x 379 ) / 379

= 1 / 379

= 1

So, Greatest Common Divisor of 945, 289, 120, 379 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 356, 950, 176, 962
• GCD of 237, 102, 124, 286
• GCD of 716, 869, 759, 564
• GCD of 245, 176, 372, 466
• GCD of 241, 508, 816, 597

Given numbers are 945, 289, 120, 379
The greatest common divisor of numbers 945, 289, 120, 379 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 289, 120, 379 is 1.

1. What is the GCD of 945, 289, 120, 379?

GCD of given numbers 945, 289, 120, 379 is 1

2. How to calculate the greatest common divisor of 945, 289, 120, 379?

We can find the highest common divisor of 945, 289, 120, 379 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 945, 289, 120, 379 i.e 1.

3. How can I use the GCD of 945, 289, 120, 379Calculator?

Out the numbers 945, 289, 120, 379 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.