GCD of 738, 209, 242, 677 Calculator

Given Input numbers are 738, 209, 242, 677

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

GCD of numbers is the greatest common divisor

So, the GCD (738, 209, 242, 677) = 1.

Given numbers are 738, 209, 242, 677

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 209 are 11 x 19

Prime factors of 242 are 2 x 11 x 11

Prime factors of 677 are 677

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

Given numbers are 738, 209, 242, 677

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

Apply this formula for all numbers.

Step1:

LCM(738, 209) = 154242

GCD(738, 209) = ( 738 x 209 ) / 154242

= 738 / 209

= 738

Step2:

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

= 1 / 242

= 1

Step3:

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

= 1 / 677

= 1

So, Greatest Common Divisor of 738, 209, 242, 677 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 520, 940, 408, 972
• GCD of 218, 760, 746, 821
• GCD of 440, 772, 616, 913
• GCD of 178, 944, 247, 897
• GCD of 497, 345, 498, 979

Given numbers are 738, 209, 242, 677
The greatest common divisor of numbers 738, 209, 242, 677 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 209, 242, 677 is 1.

1. What is the GCD of 738, 209, 242, 677?

GCD of given numbers 738, 209, 242, 677 is 1

2. How to calculate the greatest common divisor of 738, 209, 242, 677?

We can find the highest common divisor of 738, 209, 242, 677 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 738, 209, 242, 677 i.e 1.

3. How can I use the GCD of 738, 209, 242, 677Calculator?

Out the numbers 738, 209, 242, 677 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.