GCD of 688, 780, 734, 334 Calculator

Given Input numbers are 688, 780, 734, 334

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

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 334 :

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

1, 2, 167, 334

GCD of numbers is the greatest common divisor

So, the GCD (688, 780, 734, 334) = 2.

Given numbers are 688, 780, 734, 334

The list of prime factors of all numbers are

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 734 are 2 x 367

Prime factors of 334 are 2 x 167

The highest common occurrence is 2¹

Therefore, GCD of 688, 780, 734, 334 is 2.

Given numbers are 688, 780, 734, 334

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

Apply this formula for all numbers.

Step1:

LCM(688, 780) = 134160

GCD(688, 780) = ( 688 x 780 ) / 134160

= 688 / 780

= 688

Step2:

LCM(4, 734) = 1468

GCD(4, 734) = ( 4 x 734 ) / 1468

= 4 / 734

= 4

Step3:

LCM(2, 334) = 334

GCD(2, 334) = ( 2 x 334 ) / 334

= 2 / 334

= 2

So, Greatest Common Divisor of 688, 780, 734, 334 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 252, 417, 175, 872
• GCD of 727, 674, 696, 360
• GCD of 178, 670, 652, 377
• GCD of 196, 962, 189, 427
• GCD of 289, 282, 402, 935

Given numbers are 688, 780, 734, 334
The greatest common divisor of numbers 688, 780, 734, 334 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 780, 734, 334 is 2.

1. What is the GCD of 688, 780, 734, 334?

GCD of given numbers 688, 780, 734, 334 is 2

2. How to calculate the greatest common divisor of 688, 780, 734, 334?

We can find the highest common divisor of 688, 780, 734, 334 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 688, 780, 734, 334 i.e 2.

3. How can I use the GCD of 688, 780, 734, 334Calculator?

Out the numbers 688, 780, 734, 334 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.