GCD of 908, 548, 712, 782 Calculator

Given Input numbers are 908, 548, 712, 782

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

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

GCD of numbers is the greatest common divisor

So, the GCD (908, 548, 712, 782) = 2.

Given numbers are 908, 548, 712, 782

The list of prime factors of all numbers are

Prime factors of 908 are 2 x 2 x 227

Prime factors of 548 are 2 x 2 x 137

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 782 are 2 x 17 x 23

The highest common occurrence is 2¹

Therefore, GCD of 908, 548, 712, 782 is 2.

Given numbers are 908, 548, 712, 782

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

Apply this formula for all numbers.

Step1:

LCM(908, 548) = 124396

GCD(908, 548) = ( 908 x 548 ) / 124396

= 908 / 548

= 908

Step2:

LCM(4, 712) = 712

GCD(4, 712) = ( 4 x 712 ) / 712

= 4 / 712

= 4

Step3:

LCM(4, 782) = 1564

GCD(4, 782) = ( 4 x 782 ) / 1564

= 4 / 782

= 4

So, Greatest Common Divisor of 908, 548, 712, 782 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 475, 371, 921, 954
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Given numbers are 908, 548, 712, 782
The greatest common divisor of numbers 908, 548, 712, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 908, 548, 712, 782 is 2.

1. What is the GCD of 908, 548, 712, 782?

GCD of given numbers 908, 548, 712, 782 is 2

2. How to calculate the greatest common divisor of 908, 548, 712, 782?

We can find the highest common divisor of 908, 548, 712, 782 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 908, 548, 712, 782 i.e 2.

3. How can I use the GCD of 908, 548, 712, 782Calculator?

Out the numbers 908, 548, 712, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.