GCD of 838, 948, 708, 242 Calculator

Given Input numbers are 838, 948, 708, 242

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

Divisors of 838 :

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

1, 2, 419, 838

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 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 242 :

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

1, 2, 11, 22, 121, 242

GCD of numbers is the greatest common divisor

So, the GCD (838, 948, 708, 242) = 2.

Given numbers are 838, 948, 708, 242

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

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

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 242 are 2 x 11 x 11

The highest common occurrence is 2¹

Therefore, GCD of 838, 948, 708, 242 is 2.

Given numbers are 838, 948, 708, 242

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

Apply this formula for all numbers.

Step1:

LCM(838, 948) = 397212

GCD(838, 948) = ( 838 x 948 ) / 397212

= 838 / 948

= 838

Step2:

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

= 2 / 708

= 2

Step3:

LCM(2, 242) = 242

GCD(2, 242) = ( 2 x 242 ) / 242

= 2 / 242

= 2

So, Greatest Common Divisor of 838, 948, 708, 242 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 301, 373, 754, 176
• GCD of 241, 314, 831, 154
• GCD of 423, 911, 505, 113
• GCD of 192, 877, 942, 604
• GCD of 730, 514, 362, 325

Given numbers are 838, 948, 708, 242
The greatest common divisor of numbers 838, 948, 708, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 948, 708, 242 is 2.

1. What is the GCD of 838, 948, 708, 242?

GCD of given numbers 838, 948, 708, 242 is 2

2. How to calculate the greatest common divisor of 838, 948, 708, 242?

We can find the highest common divisor of 838, 948, 708, 242 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 838, 948, 708, 242 i.e 2.

3. How can I use the GCD of 838, 948, 708, 242Calculator?

Out the numbers 838, 948, 708, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.