GCD of 688, 294, 276, 448 Calculator

Given Input numbers are 688, 294, 276, 448

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 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

GCD of numbers is the greatest common divisor

So, the GCD (688, 294, 276, 448) = 2.

Given numbers are 688, 294, 276, 448

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 294 are 2 x 3 x 7 x 7

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 688, 294, 276, 448 is 2.

Given numbers are 688, 294, 276, 448

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

Apply this formula for all numbers.

Step1:

LCM(688, 294) = 101136

GCD(688, 294) = ( 688 x 294 ) / 101136

= 688 / 294

= 688

Step2:

LCM(2, 276) = 276

GCD(2, 276) = ( 2 x 276 ) / 276

= 2 / 276

= 2

Step3:

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

= 2 / 448

= 2

So, Greatest Common Divisor of 688, 294, 276, 448 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 673, 660, 860, 835
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Given numbers are 688, 294, 276, 448
The greatest common divisor of numbers 688, 294, 276, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 294, 276, 448 is 2.

1. What is the GCD of 688, 294, 276, 448?

GCD of given numbers 688, 294, 276, 448 is 2

2. How to calculate the greatest common divisor of 688, 294, 276, 448?

We can find the highest common divisor of 688, 294, 276, 448 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, 294, 276, 448 i.e 2.

3. How can I use the GCD of 688, 294, 276, 448Calculator?

Out the numbers 688, 294, 276, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.