GCD of 688, 848, 404, 976 Calculator

Given Input numbers are 688, 848, 404, 976

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 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

GCD of numbers is the greatest common divisor

So, the GCD (688, 848, 404, 976) = 4.

Given numbers are 688, 848, 404, 976

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 848 are 2 x 2 x 2 x 2 x 53

Prime factors of 404 are 2 x 2 x 101

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

The highest common occurrence is 2²

Therefore, GCD of 688, 848, 404, 976 is 4.

Given numbers are 688, 848, 404, 976

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

Apply this formula for all numbers.

Step1:

LCM(688, 848) = 36464

GCD(688, 848) = ( 688 x 848 ) / 36464

= 688 / 848

= 688

Step2:

LCM(16, 404) = 1616

GCD(16, 404) = ( 16 x 404 ) / 1616

= 16 / 404

= 16

Step3:

LCM(4, 976) = 976

GCD(4, 976) = ( 4 x 976 ) / 976

= 4 / 976

= 4

So, Greatest Common Divisor of 688, 848, 404, 976 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 624, 189, 133, 939
• GCD of 135, 732, 837, 878
• GCD of 848, 989, 801, 893
• GCD of 588, 318, 125, 516
• GCD of 920, 404, 245, 406

Given numbers are 688, 848, 404, 976
The greatest common divisor of numbers 688, 848, 404, 976 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 848, 404, 976 is 4.

1. What is the GCD of 688, 848, 404, 976?

GCD of given numbers 688, 848, 404, 976 is 4

2. How to calculate the greatest common divisor of 688, 848, 404, 976?

We can find the highest common divisor of 688, 848, 404, 976 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, 848, 404, 976 i.e 4.

3. How can I use the GCD of 688, 848, 404, 976Calculator?

Out the numbers 688, 848, 404, 976 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.