GCD of 120, 656, 447, 700 Calculator

Given Input numbers are 120, 656, 447, 700

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 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 447 :

The positive integer divisors of 447 that completely divides 447 are.

1, 3, 149, 447

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

GCD of numbers is the greatest common divisor

So, the GCD (120, 656, 447, 700) = 1.

Given numbers are 120, 656, 447, 700

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 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 447 are 3 x 149

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

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

Given numbers are 120, 656, 447, 700

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

Apply this formula for all numbers.

Step1:

LCM(120, 656) = 9840

GCD(120, 656) = ( 120 x 656 ) / 9840

= 120 / 656

= 120

Step2:

LCM(8, 447) = 3576

GCD(8, 447) = ( 8 x 447 ) / 3576

= 8 / 447

= 8

Step3:

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

= 1 / 700

= 1

So, Greatest Common Divisor of 120, 656, 447, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 834, 382, 515, 962
• GCD of 366, 661, 663, 470
• GCD of 554, 656, 269, 920
• GCD of 414, 455, 747, 978
• GCD of 928, 853, 665, 161

Given numbers are 120, 656, 447, 700
The greatest common divisor of numbers 120, 656, 447, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 656, 447, 700 is 1.

1. What is the GCD of 120, 656, 447, 700?

GCD of given numbers 120, 656, 447, 700 is 1

2. How to calculate the greatest common divisor of 120, 656, 447, 700?

We can find the highest common divisor of 120, 656, 447, 700 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, 656, 447, 700 i.e 1.

3. How can I use the GCD of 120, 656, 447, 700Calculator?

Out the numbers 120, 656, 447, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.