GCD of 342, 456, 298, 362 Calculator

Given Input numbers are 342, 456, 298, 362

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

GCD of numbers is the greatest common divisor

So, the GCD (342, 456, 298, 362) = 2.

Given numbers are 342, 456, 298, 362

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 298 are 2 x 149

Prime factors of 362 are 2 x 181

The highest common occurrence is 2¹

Therefore, GCD of 342, 456, 298, 362 is 2.

Given numbers are 342, 456, 298, 362

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

Apply this formula for all numbers.

Step1:

LCM(342, 456) = 1368

GCD(342, 456) = ( 342 x 456 ) / 1368

= 342 / 456

= 342

Step2:

LCM(114, 298) = 16986

GCD(114, 298) = ( 114 x 298 ) / 16986

= 114 / 298

= 114

Step3:

LCM(2, 362) = 362

GCD(2, 362) = ( 2 x 362 ) / 362

= 2 / 362

= 2

So, Greatest Common Divisor of 342, 456, 298, 362 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 817, 283, 262, 294
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• GCD of 176, 546, 800, 613
• GCD of 971, 914, 738, 175
• GCD of 750, 688, 808, 892

Given numbers are 342, 456, 298, 362
The greatest common divisor of numbers 342, 456, 298, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 456, 298, 362 is 2.

1. What is the GCD of 342, 456, 298, 362?

GCD of given numbers 342, 456, 298, 362 is 2

2. How to calculate the greatest common divisor of 342, 456, 298, 362?

We can find the highest common divisor of 342, 456, 298, 362 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 342, 456, 298, 362 i.e 2.

3. How can I use the GCD of 342, 456, 298, 362Calculator?

Out the numbers 342, 456, 298, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.