GCD of 825, 700, 208, 294 Calculator

Given Input numbers are 825, 700, 208, 294

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

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

GCD of numbers is the greatest common divisor

So, the GCD (825, 700, 208, 294) = 1.

Given numbers are 825, 700, 208, 294

The list of prime factors of all numbers are

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 294 are 2 x 3 x 7 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 825, 700, 208, 294

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

Apply this formula for all numbers.

Step1:

LCM(825, 700) = 23100

GCD(825, 700) = ( 825 x 700 ) / 23100

= 825 / 700

= 825

Step2:

LCM(25, 208) = 5200

GCD(25, 208) = ( 25 x 208 ) / 5200

= 25 / 208

= 25

Step3:

LCM(1, 294) = 294

GCD(1, 294) = ( 1 x 294 ) / 294

= 1 / 294

= 1

So, Greatest Common Divisor of 825, 700, 208, 294 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 692, 427, 434, 603
• GCD of 943, 114, 820, 646
• GCD of 979, 234, 477, 385
• GCD of 493, 924, 614, 740
• GCD of 666, 293, 400, 134

Given numbers are 825, 700, 208, 294
The greatest common divisor of numbers 825, 700, 208, 294 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 700, 208, 294 is 1.

1. What is the GCD of 825, 700, 208, 294?

GCD of given numbers 825, 700, 208, 294 is 1

2. How to calculate the greatest common divisor of 825, 700, 208, 294?

We can find the highest common divisor of 825, 700, 208, 294 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 825, 700, 208, 294 i.e 1.

3. How can I use the GCD of 825, 700, 208, 294Calculator?

Out the numbers 825, 700, 208, 294 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.