GCD of 334, 342, 316, 700 Calculator

Given Input numbers are 334, 342, 316, 700

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

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

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 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

GCD of numbers is the greatest common divisor

So, the GCD (334, 342, 316, 700) = 2.

Given numbers are 334, 342, 316, 700

The list of prime factors of all numbers are

Prime factors of 334 are 2 x 167

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

Prime factors of 316 are 2 x 2 x 79

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 334, 342, 316, 700 is 2.

Given numbers are 334, 342, 316, 700

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

Apply this formula for all numbers.

Step1:

LCM(334, 342) = 57114

GCD(334, 342) = ( 334 x 342 ) / 57114

= 334 / 342

= 334

Step2:

LCM(2, 316) = 316

GCD(2, 316) = ( 2 x 316 ) / 316

= 2 / 316

= 2

Step3:

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

= 2 / 700

= 2

So, Greatest Common Divisor of 334, 342, 316, 700 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 765, 486, 225, 233
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• GCD of 415, 841, 203, 354
• GCD of 468, 207, 397, 211
• GCD of 824, 560, 227, 910

Given numbers are 334, 342, 316, 700
The greatest common divisor of numbers 334, 342, 316, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 334, 342, 316, 700 is 2.

1. What is the GCD of 334, 342, 316, 700?

GCD of given numbers 334, 342, 316, 700 is 2

2. How to calculate the greatest common divisor of 334, 342, 316, 700?

We can find the highest common divisor of 334, 342, 316, 700 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 334, 342, 316, 700 i.e 2.

3. How can I use the GCD of 334, 342, 316, 700Calculator?

Out the numbers 334, 342, 316, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.