GCD of 120, 230, 628, 769 Calculator

Given Input numbers are 120, 230, 628, 769

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 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 769 :

The positive integer divisors of 769 that completely divides 769 are.

1, 769

GCD of numbers is the greatest common divisor

So, the GCD (120, 230, 628, 769) = 1.

Given numbers are 120, 230, 628, 769

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 230 are 2 x 5 x 23

Prime factors of 628 are 2 x 2 x 157

Prime factors of 769 are 769

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

Given numbers are 120, 230, 628, 769

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

Apply this formula for all numbers.

Step1:

LCM(120, 230) = 2760

GCD(120, 230) = ( 120 x 230 ) / 2760

= 120 / 230

= 120

Step2:

LCM(10, 628) = 3140

GCD(10, 628) = ( 10 x 628 ) / 3140

= 10 / 628

= 10

Step3:

LCM(2, 769) = 1538

GCD(2, 769) = ( 2 x 769 ) / 1538

= 2 / 769

= 2

So, Greatest Common Divisor of 120, 230, 628, 769 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 191, 787, 670, 895
• GCD of 479, 169, 506, 400
• GCD of 762, 757, 430, 770
• GCD of 742, 807, 792, 503
• GCD of 134, 104, 738, 240

Given numbers are 120, 230, 628, 769
The greatest common divisor of numbers 120, 230, 628, 769 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 230, 628, 769 is 1.

1. What is the GCD of 120, 230, 628, 769?

GCD of given numbers 120, 230, 628, 769 is 1

2. How to calculate the greatest common divisor of 120, 230, 628, 769?

We can find the highest common divisor of 120, 230, 628, 769 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, 230, 628, 769 i.e 1.

3. How can I use the GCD of 120, 230, 628, 769Calculator?

Out the numbers 120, 230, 628, 769 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.