GCD of 771, 345, 938, 414 Calculator

Given Input numbers are 771, 345, 938, 414

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

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

GCD of numbers is the greatest common divisor

So, the GCD (771, 345, 938, 414) = 1.

Given numbers are 771, 345, 938, 414

The list of prime factors of all numbers are

Prime factors of 771 are 3 x 257

Prime factors of 345 are 3 x 5 x 23

Prime factors of 938 are 2 x 7 x 67

Prime factors of 414 are 2 x 3 x 3 x 23

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

Given numbers are 771, 345, 938, 414

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

Apply this formula for all numbers.

Step1:

LCM(771, 345) = 88665

GCD(771, 345) = ( 771 x 345 ) / 88665

= 771 / 345

= 771

Step2:

LCM(3, 938) = 2814

GCD(3, 938) = ( 3 x 938 ) / 2814

= 3 / 938

= 3

Step3:

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

= 1 / 414

= 1

So, Greatest Common Divisor of 771, 345, 938, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 284, 308, 410, 755
• GCD of 610, 353, 708, 527
• GCD of 144, 166, 989, 864
• GCD of 225, 140, 512, 978
• GCD of 501, 998, 230, 840

Given numbers are 771, 345, 938, 414
The greatest common divisor of numbers 771, 345, 938, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 771, 345, 938, 414 is 1.

1. What is the GCD of 771, 345, 938, 414?

GCD of given numbers 771, 345, 938, 414 is 1

2. How to calculate the greatest common divisor of 771, 345, 938, 414?

We can find the highest common divisor of 771, 345, 938, 414 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 771, 345, 938, 414 i.e 1.

3. How can I use the GCD of 771, 345, 938, 414Calculator?

Out the numbers 771, 345, 938, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.