GCD of 398, 222, 70, 132 Calculator

Given Input numbers are 398, 222, 70, 132

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 70 :

The positive integer divisors of 70 that completely divides 70 are.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

GCD of numbers is the greatest common divisor

So, the GCD (398, 222, 70, 132) = 2.

Given numbers are 398, 222, 70, 132

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 222 are 2 x 3 x 37

Prime factors of 70 are 2 x 5 x 7

Prime factors of 132 are 2 x 2 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 398, 222, 70, 132 is 2.

Given numbers are 398, 222, 70, 132

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

Apply this formula for all numbers.

Step1:

LCM(398, 222) = 44178

GCD(398, 222) = ( 398 x 222 ) / 44178

= 398 / 222

= 398

Step2:

LCM(2, 70) = 70

GCD(2, 70) = ( 2 x 70 ) / 70

= 2 / 70

= 2

Step3:

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

= 2 / 132

= 2

So, Greatest Common Divisor of 398, 222, 70, 132 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 542, 56, 951
• GCD of 385, 485, 97, 454
• GCD of 581, 690, 29, 856
• GCD of 475, 501, 50, 297
• GCD of 225, 403, 97, 755

Given numbers are 398, 222, 70, 132
The greatest common divisor of numbers 398, 222, 70, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 222, 70, 132 is 2.

1. What is the GCD of 398, 222, 70, 132?

GCD of given numbers 398, 222, 70, 132 is 2

2. How to calculate the greatest common divisor of 398, 222, 70, 132?

We can find the highest common divisor of 398, 222, 70, 132 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 398, 222, 70, 132 i.e 2.

3. How can I use the GCD of 398, 222, 70, 132Calculator?

Out the numbers 398, 222, 70, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.