GCD of 272, 590, 100, 661 Calculator

Given Input numbers are 272, 590, 100, 661

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

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 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 661 :

The positive integer divisors of 661 that completely divides 661 are.

1, 661

GCD of numbers is the greatest common divisor

So, the GCD (272, 590, 100, 661) = 1.

Given numbers are 272, 590, 100, 661

The list of prime factors of all numbers are

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

Prime factors of 590 are 2 x 5 x 59

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 661 are 661

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

Given numbers are 272, 590, 100, 661

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

Apply this formula for all numbers.

Step1:

LCM(272, 590) = 80240

GCD(272, 590) = ( 272 x 590 ) / 80240

= 272 / 590

= 272

Step2:

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

= 2 / 100

= 2

Step3:

LCM(2, 661) = 1322

GCD(2, 661) = ( 2 x 661 ) / 1322

= 2 / 661

= 2

So, Greatest Common Divisor of 272, 590, 100, 661 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 564, 857, 926, 752
• GCD of 790, 644, 273, 222
• GCD of 915, 442, 337, 237
• GCD of 891, 575, 882, 172
• GCD of 829, 122, 138, 608

Given numbers are 272, 590, 100, 661
The greatest common divisor of numbers 272, 590, 100, 661 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 590, 100, 661 is 1.

1. What is the GCD of 272, 590, 100, 661?

GCD of given numbers 272, 590, 100, 661 is 1

2. How to calculate the greatest common divisor of 272, 590, 100, 661?

We can find the highest common divisor of 272, 590, 100, 661 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 272, 590, 100, 661 i.e 1.

3. How can I use the GCD of 272, 590, 100, 661Calculator?

Out the numbers 272, 590, 100, 661 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.