GCD of 120, 474, 946, 827 Calculator

Given Input numbers are 120, 474, 946, 827

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 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

GCD of numbers is the greatest common divisor

So, the GCD (120, 474, 946, 827) = 1.

Given numbers are 120, 474, 946, 827

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 474 are 2 x 3 x 79

Prime factors of 946 are 2 x 11 x 43

Prime factors of 827 are 827

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

Given numbers are 120, 474, 946, 827

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

Apply this formula for all numbers.

Step1:

LCM(120, 474) = 9480

GCD(120, 474) = ( 120 x 474 ) / 9480

= 120 / 474

= 120

Step2:

LCM(6, 946) = 2838

GCD(6, 946) = ( 6 x 946 ) / 2838

= 6 / 946

= 6

Step3:

LCM(2, 827) = 1654

GCD(2, 827) = ( 2 x 827 ) / 1654

= 2 / 827

= 2

So, Greatest Common Divisor of 120, 474, 946, 827 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 317, 399, 818, 135
• GCD of 331, 945, 892, 224
• GCD of 610, 474, 163, 823
• GCD of 848, 697, 155, 227
• GCD of 998, 656, 582, 745

Given numbers are 120, 474, 946, 827
The greatest common divisor of numbers 120, 474, 946, 827 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 474, 946, 827 is 1.

1. What is the GCD of 120, 474, 946, 827?

GCD of given numbers 120, 474, 946, 827 is 1

2. How to calculate the greatest common divisor of 120, 474, 946, 827?

We can find the highest common divisor of 120, 474, 946, 827 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, 474, 946, 827 i.e 1.

3. How can I use the GCD of 120, 474, 946, 827Calculator?

Out the numbers 120, 474, 946, 827 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.