GCD of 676, 688, 92, 734 Calculator

Given Input numbers are 676, 688, 92, 734

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

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 92 :

The positive integer divisors of 92 that completely divides 92 are.

1, 2, 4, 23, 46, 92

Divisors of 734 :

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

1, 2, 367, 734

GCD of numbers is the greatest common divisor

So, the GCD (676, 688, 92, 734) = 2.

Given numbers are 676, 688, 92, 734

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

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

Prime factors of 92 are 2 x 2 x 23

Prime factors of 734 are 2 x 367

The highest common occurrence is 2¹

Therefore, GCD of 676, 688, 92, 734 is 2.

Given numbers are 676, 688, 92, 734

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

Apply this formula for all numbers.

Step1:

LCM(676, 688) = 116272

GCD(676, 688) = ( 676 x 688 ) / 116272

= 676 / 688

= 676

Step2:

LCM(4, 92) = 92

GCD(4, 92) = ( 4 x 92 ) / 92

= 4 / 92

= 4

Step3:

LCM(4, 734) = 1468

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

= 4 / 734

= 4

So, Greatest Common Divisor of 676, 688, 92, 734 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 232, 183, 84, 235
• GCD of 493, 401, 47, 380
• GCD of 753, 884, 38, 642
• GCD of 363, 103, 48, 380
• GCD of 331, 198, 70, 882

Given numbers are 676, 688, 92, 734
The greatest common divisor of numbers 676, 688, 92, 734 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 688, 92, 734 is 2.

1. What is the GCD of 676, 688, 92, 734?

GCD of given numbers 676, 688, 92, 734 is 2

2. How to calculate the greatest common divisor of 676, 688, 92, 734?

We can find the highest common divisor of 676, 688, 92, 734 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 676, 688, 92, 734 i.e 2.

3. How can I use the GCD of 676, 688, 92, 734Calculator?

Out the numbers 676, 688, 92, 734 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.