GCD of 102, 838, 504, 772 Calculator

Given Input numbers are 102, 838, 504, 772

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

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 838 :

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

1, 2, 419, 838

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

GCD of numbers is the greatest common divisor

So, the GCD (102, 838, 504, 772) = 2.

Given numbers are 102, 838, 504, 772

The list of prime factors of all numbers are

Prime factors of 102 are 2 x 3 x 17

Prime factors of 838 are 2 x 419

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 772 are 2 x 2 x 193

The highest common occurrence is 2¹

Therefore, GCD of 102, 838, 504, 772 is 2.

Given numbers are 102, 838, 504, 772

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

Apply this formula for all numbers.

Step1:

LCM(102, 838) = 42738

GCD(102, 838) = ( 102 x 838 ) / 42738

= 102 / 838

= 102

Step2:

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

= 2 / 504

= 2

Step3:

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

= 2 / 772

= 2

So, Greatest Common Divisor of 102, 838, 504, 772 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 700, 128, 802, 403
• GCD of 469, 737, 196, 817
• GCD of 808, 385, 495, 398
• GCD of 721, 512, 852, 146
• GCD of 851, 699, 540, 262

Given numbers are 102, 838, 504, 772
The greatest common divisor of numbers 102, 838, 504, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 102, 838, 504, 772 is 2.

1. What is the GCD of 102, 838, 504, 772?

GCD of given numbers 102, 838, 504, 772 is 2

2. How to calculate the greatest common divisor of 102, 838, 504, 772?

We can find the highest common divisor of 102, 838, 504, 772 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 102, 838, 504, 772 i.e 2.

3. How can I use the GCD of 102, 838, 504, 772Calculator?

Out the numbers 102, 838, 504, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.