GCD of 938, 705, 367, 112 Calculator

Given Input numbers are 938, 705, 367, 112

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

Divisors of 938 :

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

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 367 :

The positive integer divisors of 367 that completely divides 367 are.

1, 367

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

GCD of numbers is the greatest common divisor

So, the GCD (938, 705, 367, 112) = 1.

Given numbers are 938, 705, 367, 112

The list of prime factors of all numbers are

Prime factors of 938 are 2 x 7 x 67

Prime factors of 705 are 3 x 5 x 47

Prime factors of 367 are 367

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

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

Given numbers are 938, 705, 367, 112

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

Apply this formula for all numbers.

Step1:

LCM(938, 705) = 661290

GCD(938, 705) = ( 938 x 705 ) / 661290

= 938 / 705

= 938

Step2:

LCM(1, 367) = 367

GCD(1, 367) = ( 1 x 367 ) / 367

= 1 / 367

= 1

Step3:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1

So, Greatest Common Divisor of 938, 705, 367, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 948, 826, 976, 553
• GCD of 554, 348, 708, 964
• GCD of 678, 529, 884, 791
• GCD of 446, 875, 842, 771
• GCD of 517, 614, 568, 742

Given numbers are 938, 705, 367, 112
The greatest common divisor of numbers 938, 705, 367, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 705, 367, 112 is 1.

1. What is the GCD of 938, 705, 367, 112?

GCD of given numbers 938, 705, 367, 112 is 1

2. How to calculate the greatest common divisor of 938, 705, 367, 112?

We can find the highest common divisor of 938, 705, 367, 112 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 938, 705, 367, 112 i.e 1.

3. How can I use the GCD of 938, 705, 367, 112Calculator?

Out the numbers 938, 705, 367, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.