GCD of 120, 117, 177, 420 Calculator

Given Input numbers are 120, 117, 177, 420

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 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 177 :

The positive integer divisors of 177 that completely divides 177 are.

1, 3, 59, 177

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (120, 117, 177, 420) = 3.

Given numbers are 120, 117, 177, 420

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 117 are 3 x 3 x 13

Prime factors of 177 are 3 x 59

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 120, 117, 177, 420 is 3.

Given numbers are 120, 117, 177, 420

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

Apply this formula for all numbers.

Step1:

LCM(120, 117) = 4680

GCD(120, 117) = ( 120 x 117 ) / 4680

= 120 / 117

= 120

Step2:

LCM(3, 177) = 177

GCD(3, 177) = ( 3 x 177 ) / 177

= 3 / 177

= 3

Step3:

LCM(3, 420) = 420

GCD(3, 420) = ( 3 x 420 ) / 420

= 3 / 420

= 3

So, Greatest Common Divisor of 120, 117, 177, 420 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 502, 721, 978, 449
• GCD of 128, 830, 577, 521
• GCD of 944, 346, 753, 586
• GCD of 390, 535, 679, 223
• GCD of 431, 573, 312, 806

Given numbers are 120, 117, 177, 420
The greatest common divisor of numbers 120, 117, 177, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 117, 177, 420 is 3.

1. What is the GCD of 120, 117, 177, 420?

GCD of given numbers 120, 117, 177, 420 is 3

2. How to calculate the greatest common divisor of 120, 117, 177, 420?

We can find the highest common divisor of 120, 117, 177, 420 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, 117, 177, 420 i.e 3.

3. How can I use the GCD of 120, 117, 177, 420Calculator?

Out the numbers 120, 117, 177, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.