GCD of 544, 848, 971, 138 Calculator

Given Input numbers are 544, 848, 971, 138

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

Divisors of 544 :

The positive integer divisors of 544 that completely divides 544 are.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

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 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (544, 848, 971, 138) = 1.

Given numbers are 544, 848, 971, 138

The list of prime factors of all numbers are

Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

Prime factors of 971 are 971

Prime factors of 138 are 2 x 3 x 23

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 544, 848, 971, 138

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

Apply this formula for all numbers.

Step1:

LCM(544, 848) = 28832

GCD(544, 848) = ( 544 x 848 ) / 28832

= 544 / 848

= 544

Step2:

LCM(16, 971) = 15536

GCD(16, 971) = ( 16 x 971 ) / 15536

= 16 / 971

= 16

Step3:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

So, Greatest Common Divisor of 544, 848, 971, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 151, 696, 686, 665
• GCD of 434, 271, 337, 295
• GCD of 272, 425, 725, 617
• GCD of 802, 689, 832, 578
• GCD of 202, 882, 917, 792

Given numbers are 544, 848, 971, 138
The greatest common divisor of numbers 544, 848, 971, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 544, 848, 971, 138 is 1.

1. What is the GCD of 544, 848, 971, 138?

GCD of given numbers 544, 848, 971, 138 is 1

2. How to calculate the greatest common divisor of 544, 848, 971, 138?

We can find the highest common divisor of 544, 848, 971, 138 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 544, 848, 971, 138 i.e 1.

3. How can I use the GCD of 544, 848, 971, 138Calculator?

Out the numbers 544, 848, 971, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.