GCD of 106, 948, 714, 838 Calculator

Given Input numbers are 106, 948, 714, 838

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

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

GCD of numbers is the greatest common divisor

So, the GCD (106, 948, 714, 838) = 2.

Given numbers are 106, 948, 714, 838

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

Prime factors of 948 are 2 x 2 x 3 x 79

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 838 are 2 x 419

The highest common occurrence is 2¹

Therefore, GCD of 106, 948, 714, 838 is 2.

Given numbers are 106, 948, 714, 838

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

Apply this formula for all numbers.

Step1:

LCM(106, 948) = 50244

GCD(106, 948) = ( 106 x 948 ) / 50244

= 106 / 948

= 106

Step2:

LCM(2, 714) = 714

GCD(2, 714) = ( 2 x 714 ) / 714

= 2 / 714

= 2

Step3:

LCM(2, 838) = 838

GCD(2, 838) = ( 2 x 838 ) / 838

= 2 / 838

= 2

So, Greatest Common Divisor of 106, 948, 714, 838 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 171, 639, 201, 613
• GCD of 674, 900, 197, 127
• GCD of 654, 904, 929, 330
• GCD of 207, 302, 168, 377
• GCD of 114, 598, 349, 951

Given numbers are 106, 948, 714, 838
The greatest common divisor of numbers 106, 948, 714, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 948, 714, 838 is 2.

1. What is the GCD of 106, 948, 714, 838?

GCD of given numbers 106, 948, 714, 838 is 2

2. How to calculate the greatest common divisor of 106, 948, 714, 838?

We can find the highest common divisor of 106, 948, 714, 838 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 106, 948, 714, 838 i.e 2.

3. How can I use the GCD of 106, 948, 714, 838Calculator?

Out the numbers 106, 948, 714, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.