GCD of 356, 262, 420, 352 Calculator

Given Input numbers are 356, 262, 420, 352

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

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 262 :

The positive integer divisors of 262 that completely divides 262 are.

1, 2, 131, 262

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

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

GCD of numbers is the greatest common divisor

So, the GCD (356, 262, 420, 352) = 2.

Given numbers are 356, 262, 420, 352

The list of prime factors of all numbers are

Prime factors of 356 are 2 x 2 x 89

Prime factors of 262 are 2 x 131

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

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2¹

Therefore, GCD of 356, 262, 420, 352 is 2.

Given numbers are 356, 262, 420, 352

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

Apply this formula for all numbers.

Step1:

LCM(356, 262) = 46636

GCD(356, 262) = ( 356 x 262 ) / 46636

= 356 / 262

= 356

Step2:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

Step3:

LCM(2, 352) = 352

GCD(2, 352) = ( 2 x 352 ) / 352

= 2 / 352

= 2

So, Greatest Common Divisor of 356, 262, 420, 352 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 784, 143, 193, 135
• GCD of 780, 185, 842, 844
• GCD of 984, 948, 236, 156
• GCD of 881, 633, 171, 288
• GCD of 198, 176, 949, 462

Given numbers are 356, 262, 420, 352
The greatest common divisor of numbers 356, 262, 420, 352 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 262, 420, 352 is 2.

1. What is the GCD of 356, 262, 420, 352?

GCD of given numbers 356, 262, 420, 352 is 2

2. How to calculate the greatest common divisor of 356, 262, 420, 352?

We can find the highest common divisor of 356, 262, 420, 352 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 356, 262, 420, 352 i.e 2.

3. How can I use the GCD of 356, 262, 420, 352Calculator?

Out the numbers 356, 262, 420, 352 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.