GCD of 354, 120, 658, 799 Calculator

Given Input numbers are 354, 120, 658, 799

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

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 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 799 :

The positive integer divisors of 799 that completely divides 799 are.

1, 17, 47, 799

GCD of numbers is the greatest common divisor

So, the GCD (354, 120, 658, 799) = 1.

Given numbers are 354, 120, 658, 799

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

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

Prime factors of 658 are 2 x 7 x 47

Prime factors of 799 are 17 x 47

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

Given numbers are 354, 120, 658, 799

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

Apply this formula for all numbers.

Step1:

LCM(354, 120) = 7080

GCD(354, 120) = ( 354 x 120 ) / 7080

= 354 / 120

= 354

Step2:

LCM(6, 658) = 1974

GCD(6, 658) = ( 6 x 658 ) / 1974

= 6 / 658

= 6

Step3:

LCM(2, 799) = 1598

GCD(2, 799) = ( 2 x 799 ) / 1598

= 2 / 799

= 2

So, Greatest Common Divisor of 354, 120, 658, 799 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 187, 848, 975, 643
• GCD of 663, 359, 228, 163
• GCD of 247, 927, 615, 557
• GCD of 575, 554, 576, 853
• GCD of 389, 280, 108, 762

Given numbers are 354, 120, 658, 799
The greatest common divisor of numbers 354, 120, 658, 799 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 120, 658, 799 is 1.

1. What is the GCD of 354, 120, 658, 799?

GCD of given numbers 354, 120, 658, 799 is 1

2. How to calculate the greatest common divisor of 354, 120, 658, 799?

We can find the highest common divisor of 354, 120, 658, 799 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 354, 120, 658, 799 i.e 1.

3. How can I use the GCD of 354, 120, 658, 799Calculator?

Out the numbers 354, 120, 658, 799 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.