GCD of 120, 147, 371, 821 Calculator

Given Input numbers are 120, 147, 371, 821

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 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

GCD of numbers is the greatest common divisor

So, the GCD (120, 147, 371, 821) = 1.

Given numbers are 120, 147, 371, 821

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 147 are 3 x 7 x 7

Prime factors of 371 are 7 x 53

Prime factors of 821 are 821

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

Given numbers are 120, 147, 371, 821

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

Apply this formula for all numbers.

Step1:

LCM(120, 147) = 5880

GCD(120, 147) = ( 120 x 147 ) / 5880

= 120 / 147

= 120

Step2:

LCM(3, 371) = 1113

GCD(3, 371) = ( 3 x 371 ) / 1113

= 3 / 371

= 3

Step3:

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

= 1 / 821

= 1

So, Greatest Common Divisor of 120, 147, 371, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 136, 802, 492, 989
• GCD of 936, 219, 571, 234
• GCD of 509, 562, 229, 627
• GCD of 662, 884, 890, 722
• GCD of 680, 351, 486, 374

Given numbers are 120, 147, 371, 821
The greatest common divisor of numbers 120, 147, 371, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 147, 371, 821 is 1.

1. What is the GCD of 120, 147, 371, 821?

GCD of given numbers 120, 147, 371, 821 is 1

2. How to calculate the greatest common divisor of 120, 147, 371, 821?

We can find the highest common divisor of 120, 147, 371, 821 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, 147, 371, 821 i.e 1.

3. How can I use the GCD of 120, 147, 371, 821Calculator?

Out the numbers 120, 147, 371, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.