GCD of 120, 877, 343, 320 Calculator

Given Input numbers are 120, 877, 343, 320

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

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 877 :

The positive integer divisors of 877 that completely divides 877 are.

1, 877

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD of numbers is the greatest common divisor

So, the GCD (120, 877, 343, 320) = 1.

Given numbers are 120, 877, 343, 320

The list of prime factors of all numbers are

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

Prime factors of 877 are 877

Prime factors of 343 are 7 x 7 x 7

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Given numbers are 120, 877, 343, 320

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

Apply this formula for all numbers.

Step1:

LCM(120, 877) = 105240

GCD(120, 877) = ( 120 x 877 ) / 105240

= 120 / 877

= 120

Step2:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1

Step3:

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

= 1 / 320

= 1

So, Greatest Common Divisor of 120, 877, 343, 320 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 183, 532, 701, 640
• GCD of 107, 842, 589, 826
• GCD of 664, 976, 181, 314
• GCD of 832, 115, 547, 408
• GCD of 958, 776, 229, 972

Given numbers are 120, 877, 343, 320
The greatest common divisor of numbers 120, 877, 343, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 877, 343, 320 is 1.

1. What is the GCD of 120, 877, 343, 320?

GCD of given numbers 120, 877, 343, 320 is 1

2. How to calculate the greatest common divisor of 120, 877, 343, 320?

We can find the highest common divisor of 120, 877, 343, 320 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 120, 877, 343, 320 i.e 1.

3. How can I use the GCD of 120, 877, 343, 320Calculator?

Out the numbers 120, 877, 343, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.