GCD of 137, 207, 221, 748 Calculator

Given Input numbers are 137, 207, 221, 748

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

Divisors of 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

Divisors of 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

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

GCD of numbers is the greatest common divisor

So, the GCD (137, 207, 221, 748) = 1.

Given numbers are 137, 207, 221, 748

The list of prime factors of all numbers are

Prime factors of 137 are 137

Prime factors of 207 are 3 x 3 x 23

Prime factors of 221 are 13 x 17

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

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

Given numbers are 137, 207, 221, 748

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

Apply this formula for all numbers.

Step1:

LCM(137, 207) = 28359

GCD(137, 207) = ( 137 x 207 ) / 28359

= 137 / 207

= 137

Step2:

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

= 1 / 221

= 1

Step3:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

So, Greatest Common Divisor of 137, 207, 221, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 392, 553, 510, 829
• GCD of 907, 243, 299, 468
• GCD of 289, 791, 533, 887
• GCD of 269, 731, 795, 646
• GCD of 520, 704, 499, 299

Given numbers are 137, 207, 221, 748
The greatest common divisor of numbers 137, 207, 221, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 137, 207, 221, 748 is 1.

1. What is the GCD of 137, 207, 221, 748?

GCD of given numbers 137, 207, 221, 748 is 1

2. How to calculate the greatest common divisor of 137, 207, 221, 748?

We can find the highest common divisor of 137, 207, 221, 748 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 137, 207, 221, 748 i.e 1.

3. How can I use the GCD of 137, 207, 221, 748Calculator?

Out the numbers 137, 207, 221, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.