GCD of 686, 898, 488, 752 Calculator

Given Input numbers are 686, 898, 488, 752

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

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

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

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

GCD of numbers is the greatest common divisor

So, the GCD (686, 898, 488, 752) = 2.

Given numbers are 686, 898, 488, 752

The list of prime factors of all numbers are

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 898 are 2 x 449

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

The highest common occurrence is 2¹

Therefore, GCD of 686, 898, 488, 752 is 2.

Given numbers are 686, 898, 488, 752

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

Apply this formula for all numbers.

Step1:

LCM(686, 898) = 308014

GCD(686, 898) = ( 686 x 898 ) / 308014

= 686 / 898

= 686

Step2:

LCM(2, 488) = 488

GCD(2, 488) = ( 2 x 488 ) / 488

= 2 / 488

= 2

Step3:

LCM(2, 752) = 752

GCD(2, 752) = ( 2 x 752 ) / 752

= 2 / 752

= 2

So, Greatest Common Divisor of 686, 898, 488, 752 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 587, 418, 787, 142
• GCD of 968, 285, 810, 942
• GCD of 845, 795, 860, 632
• GCD of 529, 946, 162, 428
• GCD of 767, 674, 630, 656

Given numbers are 686, 898, 488, 752
The greatest common divisor of numbers 686, 898, 488, 752 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 898, 488, 752 is 2.

1. What is the GCD of 686, 898, 488, 752?

GCD of given numbers 686, 898, 488, 752 is 2

2. How to calculate the greatest common divisor of 686, 898, 488, 752?

We can find the highest common divisor of 686, 898, 488, 752 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 686, 898, 488, 752 i.e 2.

3. How can I use the GCD of 686, 898, 488, 752Calculator?

Out the numbers 686, 898, 488, 752 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.