GCD of 770, 214, 284, 250 Calculator

Given Input numbers are 770, 214, 284, 250

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 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 250 :

The positive integer divisors of 250 that completely divides 250 are.

1, 2, 5, 10, 25, 50, 125, 250

GCD of numbers is the greatest common divisor

So, the GCD (770, 214, 284, 250) = 2.

Given numbers are 770, 214, 284, 250

The list of prime factors of all numbers are

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

Prime factors of 214 are 2 x 107

Prime factors of 284 are 2 x 2 x 71

Prime factors of 250 are 2 x 5 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 770, 214, 284, 250 is 2.

Given numbers are 770, 214, 284, 250

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

Apply this formula for all numbers.

Step1:

LCM(770, 214) = 82390

GCD(770, 214) = ( 770 x 214 ) / 82390

= 770 / 214

= 770

Step2:

LCM(2, 284) = 284

GCD(2, 284) = ( 2 x 284 ) / 284

= 2 / 284

= 2

Step3:

LCM(2, 250) = 250

GCD(2, 250) = ( 2 x 250 ) / 250

= 2 / 250

= 2

So, Greatest Common Divisor of 770, 214, 284, 250 is 2

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• GCD of 416, 453, 840, 828
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Given numbers are 770, 214, 284, 250
The greatest common divisor of numbers 770, 214, 284, 250 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 770, 214, 284, 250 is 2.

1. What is the GCD of 770, 214, 284, 250?

GCD of given numbers 770, 214, 284, 250 is 2

2. How to calculate the greatest common divisor of 770, 214, 284, 250?

We can find the highest common divisor of 770, 214, 284, 250 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, 214, 284, 250 i.e 2.

3. How can I use the GCD of 770, 214, 284, 250Calculator?

Out the numbers 770, 214, 284, 250 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.