GCD of 484, 384, 60, 140 Calculator

Given Input numbers are 484, 384, 60, 140

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

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

GCD of numbers is the greatest common divisor

So, the GCD (484, 384, 60, 140) = 4.

Given numbers are 484, 384, 60, 140

The list of prime factors of all numbers are

Prime factors of 484 are 2 x 2 x 11 x 11

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 60 are 2 x 2 x 3 x 5

Prime factors of 140 are 2 x 2 x 5 x 7

The highest common occurrence is 2²

Therefore, GCD of 484, 384, 60, 140 is 4.

Given numbers are 484, 384, 60, 140

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

Apply this formula for all numbers.

Step1:

LCM(484, 384) = 46464

GCD(484, 384) = ( 484 x 384 ) / 46464

= 484 / 384

= 484

Step2:

LCM(4, 60) = 60

GCD(4, 60) = ( 4 x 60 ) / 60

= 4 / 60

= 4

Step3:

LCM(4, 140) = 140

GCD(4, 140) = ( 4 x 140 ) / 140

= 4 / 140

= 4

So, Greatest Common Divisor of 484, 384, 60, 140 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 243, 468, 69, 941
• GCD of 951, 619, 87, 279
• GCD of 646, 226, 15, 491
• GCD of 624, 492, 39, 746
• GCD of 162, 201, 87, 380

Given numbers are 484, 384, 60, 140
The greatest common divisor of numbers 484, 384, 60, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 484, 384, 60, 140 is 4.

1. What is the GCD of 484, 384, 60, 140?

GCD of given numbers 484, 384, 60, 140 is 4

2. How to calculate the greatest common divisor of 484, 384, 60, 140?

We can find the highest common divisor of 484, 384, 60, 140 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 484, 384, 60, 140 i.e 4.

3. How can I use the GCD of 484, 384, 60, 140Calculator?

Out the numbers 484, 384, 60, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.