GCD of 238, 476, 292, 660 Calculator

Given Input numbers are 238, 476, 292, 660

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

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

GCD of numbers is the greatest common divisor

So, the GCD (238, 476, 292, 660) = 2.

Given numbers are 238, 476, 292, 660

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 292 are 2 x 2 x 73

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 238, 476, 292, 660 is 2.

Given numbers are 238, 476, 292, 660

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

Apply this formula for all numbers.

Step1:

LCM(238, 476) = 476

GCD(238, 476) = ( 238 x 476 ) / 476

= 238 / 476

= 238

Step2:

LCM(238, 292) = 34748

GCD(238, 292) = ( 238 x 292 ) / 34748

= 238 / 292

= 238

Step3:

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

= 2 / 660

= 2

So, Greatest Common Divisor of 238, 476, 292, 660 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 795, 799, 455, 170
• GCD of 249, 919, 570, 202
• GCD of 134, 754, 113, 222
• GCD of 609, 804, 421, 980
• GCD of 940, 758, 610, 581

Given numbers are 238, 476, 292, 660
The greatest common divisor of numbers 238, 476, 292, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 476, 292, 660 is 2.

1. What is the GCD of 238, 476, 292, 660?

GCD of given numbers 238, 476, 292, 660 is 2

2. How to calculate the greatest common divisor of 238, 476, 292, 660?

We can find the highest common divisor of 238, 476, 292, 660 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 238, 476, 292, 660 i.e 2.

3. How can I use the GCD of 238, 476, 292, 660Calculator?

Out the numbers 238, 476, 292, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.