GCD of 488, 272, 70, 782 Calculator

Given Input numbers are 488, 272, 70, 782

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

Divisors of 488 :

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

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

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 70 :

The positive integer divisors of 70 that completely divides 70 are.

1, 2, 5, 7, 10, 14, 35, 70

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 (488, 272, 70, 782) = 2.

Given numbers are 488, 272, 70, 782

The list of prime factors of all numbers are

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

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 70 are 2 x 5 x 7

Prime factors of 782 are 2 x 17 x 23

The highest common occurrence is 2¹

Therefore, GCD of 488, 272, 70, 782 is 2.

Given numbers are 488, 272, 70, 782

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

Apply this formula for all numbers.

Step1:

LCM(488, 272) = 16592

GCD(488, 272) = ( 488 x 272 ) / 16592

= 488 / 272

= 488

Step2:

LCM(8, 70) = 280

GCD(8, 70) = ( 8 x 70 ) / 280

= 8 / 70

= 8

Step3:

LCM(2, 782) = 782

GCD(2, 782) = ( 2 x 782 ) / 782

= 2 / 782

= 2

So, Greatest Common Divisor of 488, 272, 70, 782 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 615, 292, 79, 363
• GCD of 703, 479, 76, 451
• GCD of 932, 971, 50, 470
• GCD of 456, 587, 44, 735
• GCD of 180, 129, 55, 176

Given numbers are 488, 272, 70, 782
The greatest common divisor of numbers 488, 272, 70, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 272, 70, 782 is 2.

1. What is the GCD of 488, 272, 70, 782?

GCD of given numbers 488, 272, 70, 782 is 2

2. How to calculate the greatest common divisor of 488, 272, 70, 782?

We can find the highest common divisor of 488, 272, 70, 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 488, 272, 70, 782 i.e 2.

3. How can I use the GCD of 488, 272, 70, 782Calculator?

Out the numbers 488, 272, 70, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.