GCD of 938, 122, 686, 746 Calculator

Given Input numbers are 938, 122, 686, 746

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 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

GCD of numbers is the greatest common divisor

So, the GCD (938, 122, 686, 746) = 2.

Given numbers are 938, 122, 686, 746

The list of prime factors of all numbers are

Prime factors of 938 are 2 x 7 x 67

Prime factors of 122 are 2 x 61

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 746 are 2 x 373

The highest common occurrence is 2¹

Therefore, GCD of 938, 122, 686, 746 is 2.

Given numbers are 938, 122, 686, 746

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

Apply this formula for all numbers.

Step1:

LCM(938, 122) = 57218

GCD(938, 122) = ( 938 x 122 ) / 57218

= 938 / 122

= 938

Step2:

LCM(2, 686) = 686

GCD(2, 686) = ( 2 x 686 ) / 686

= 2 / 686

= 2

Step3:

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

= 2 / 746

= 2

So, Greatest Common Divisor of 938, 122, 686, 746 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 307, 120, 234, 701
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• GCD of 219, 978, 957, 545
• GCD of 884, 582, 438, 437
• GCD of 678, 774, 115, 256

Given numbers are 938, 122, 686, 746
The greatest common divisor of numbers 938, 122, 686, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 122, 686, 746 is 2.

1. What is the GCD of 938, 122, 686, 746?

GCD of given numbers 938, 122, 686, 746 is 2

2. How to calculate the greatest common divisor of 938, 122, 686, 746?

We can find the highest common divisor of 938, 122, 686, 746 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, 122, 686, 746 i.e 2.

3. How can I use the GCD of 938, 122, 686, 746Calculator?

Out the numbers 938, 122, 686, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.