GCD of 828, 698, 919, 120 Calculator

Given Input numbers are 828, 698, 919, 120

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

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 919 :

The positive integer divisors of 919 that completely divides 919 are.

1, 919

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

GCD of numbers is the greatest common divisor

So, the GCD (828, 698, 919, 120) = 1.

Given numbers are 828, 698, 919, 120

The list of prime factors of all numbers are

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 698 are 2 x 349

Prime factors of 919 are 919

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

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

Given numbers are 828, 698, 919, 120

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

Apply this formula for all numbers.

Step1:

LCM(828, 698) = 288972

GCD(828, 698) = ( 828 x 698 ) / 288972

= 828 / 698

= 828

Step2:

LCM(2, 919) = 1838

GCD(2, 919) = ( 2 x 919 ) / 1838

= 2 / 919

= 2

Step3:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

So, Greatest Common Divisor of 828, 698, 919, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 291, 589, 453, 213
• GCD of 621, 877, 930, 404
• GCD of 471, 147, 909, 271
• GCD of 830, 243, 914, 811
• GCD of 604, 501, 683, 465

Given numbers are 828, 698, 919, 120
The greatest common divisor of numbers 828, 698, 919, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 698, 919, 120 is 1.

1. What is the GCD of 828, 698, 919, 120?

GCD of given numbers 828, 698, 919, 120 is 1

2. How to calculate the greatest common divisor of 828, 698, 919, 120?

We can find the highest common divisor of 828, 698, 919, 120 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 828, 698, 919, 120 i.e 1.

3. How can I use the GCD of 828, 698, 919, 120Calculator?

Out the numbers 828, 698, 919, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.