GCD of 770, 102, 854, 828 Calculator

Given Input numbers are 770, 102, 854, 828

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

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 102 :

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

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

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (770, 102, 854, 828) = 2.

Given numbers are 770, 102, 854, 828

The list of prime factors of all numbers are

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 102 are 2 x 3 x 17

Prime factors of 854 are 2 x 7 x 61

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 770, 102, 854, 828 is 2.

Given numbers are 770, 102, 854, 828

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

Apply this formula for all numbers.

Step1:

LCM(770, 102) = 39270

GCD(770, 102) = ( 770 x 102 ) / 39270

= 770 / 102

= 770

Step2:

LCM(2, 854) = 854

GCD(2, 854) = ( 2 x 854 ) / 854

= 2 / 854

= 2

Step3:

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

= 2 / 828

= 2

So, Greatest Common Divisor of 770, 102, 854, 828 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 660, 662, 240, 533
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• GCD of 175, 627, 481, 914
• GCD of 824, 960, 505, 577
• GCD of 473, 518, 391, 550

Given numbers are 770, 102, 854, 828
The greatest common divisor of numbers 770, 102, 854, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 770, 102, 854, 828 is 2.

1. What is the GCD of 770, 102, 854, 828?

GCD of given numbers 770, 102, 854, 828 is 2

2. How to calculate the greatest common divisor of 770, 102, 854, 828?

We can find the highest common divisor of 770, 102, 854, 828 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 770, 102, 854, 828 i.e 2.

3. How can I use the GCD of 770, 102, 854, 828Calculator?

Out the numbers 770, 102, 854, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.