GCD of 578, 356, 120, 970 Calculator

Given Input numbers are 578, 356, 120, 970

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

Divisors of 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

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 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

GCD of numbers is the greatest common divisor

So, the GCD (578, 356, 120, 970) = 2.

Given numbers are 578, 356, 120, 970

The list of prime factors of all numbers are

Prime factors of 578 are 2 x 17 x 17

Prime factors of 356 are 2 x 2 x 89

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

Prime factors of 970 are 2 x 5 x 97

The highest common occurrence is 2¹

Therefore, GCD of 578, 356, 120, 970 is 2.

Given numbers are 578, 356, 120, 970

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

Apply this formula for all numbers.

Step1:

LCM(578, 356) = 102884

GCD(578, 356) = ( 578 x 356 ) / 102884

= 578 / 356

= 578

Step2:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

Step3:

LCM(2, 970) = 970

GCD(2, 970) = ( 2 x 970 ) / 970

= 2 / 970

= 2

So, Greatest Common Divisor of 578, 356, 120, 970 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 704, 173, 584, 807
• GCD of 731, 787, 810, 799
• GCD of 351, 897, 380, 184
• GCD of 936, 258, 939, 983
• GCD of 136, 563, 686, 104

Given numbers are 578, 356, 120, 970
The greatest common divisor of numbers 578, 356, 120, 970 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 578, 356, 120, 970 is 2.

1. What is the GCD of 578, 356, 120, 970?

GCD of given numbers 578, 356, 120, 970 is 2

2. How to calculate the greatest common divisor of 578, 356, 120, 970?

We can find the highest common divisor of 578, 356, 120, 970 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 578, 356, 120, 970 i.e 2.

3. How can I use the GCD of 578, 356, 120, 970Calculator?

Out the numbers 578, 356, 120, 970 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.