GCD of 748, 488, 68, 982 Calculator

Given Input numbers are 748, 488, 68, 982

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 488 :

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

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

Divisors of 68 :

The positive integer divisors of 68 that completely divides 68 are.

1, 2, 4, 17, 34, 68

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

GCD of numbers is the greatest common divisor

So, the GCD (748, 488, 68, 982) = 2.

Given numbers are 748, 488, 68, 982

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

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

Prime factors of 68 are 2 x 2 x 17

Prime factors of 982 are 2 x 491

The highest common occurrence is 2¹

Therefore, GCD of 748, 488, 68, 982 is 2.

Given numbers are 748, 488, 68, 982

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

Apply this formula for all numbers.

Step1:

LCM(748, 488) = 91256

GCD(748, 488) = ( 748 x 488 ) / 91256

= 748 / 488

= 748

Step2:

LCM(4, 68) = 68

GCD(4, 68) = ( 4 x 68 ) / 68

= 4 / 68

= 4

Step3:

LCM(4, 982) = 1964

GCD(4, 982) = ( 4 x 982 ) / 1964

= 4 / 982

= 4

So, Greatest Common Divisor of 748, 488, 68, 982 is 2

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• GCD of 546, 312, 20, 262
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Given numbers are 748, 488, 68, 982
The greatest common divisor of numbers 748, 488, 68, 982 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 488, 68, 982 is 2.

1. What is the GCD of 748, 488, 68, 982?

GCD of given numbers 748, 488, 68, 982 is 2

2. How to calculate the greatest common divisor of 748, 488, 68, 982?

We can find the highest common divisor of 748, 488, 68, 982 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 748, 488, 68, 982 i.e 2.

3. How can I use the GCD of 748, 488, 68, 982Calculator?

Out the numbers 748, 488, 68, 982 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.