GCD of 698, 564, 725, 208 Calculator

Given Input numbers are 698, 564, 725, 208

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

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 208 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (698, 564, 725, 208) = 1.

Given numbers are 698, 564, 725, 208

The list of prime factors of all numbers are

Prime factors of 698 are 2 x 349

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 725 are 5 x 5 x 29

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

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

Given numbers are 698, 564, 725, 208

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

Apply this formula for all numbers.

Step1:

LCM(698, 564) = 196836

GCD(698, 564) = ( 698 x 564 ) / 196836

= 698 / 564

= 698

Step2:

LCM(2, 725) = 1450

GCD(2, 725) = ( 2 x 725 ) / 1450

= 2 / 725

= 2

Step3:

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

= 1 / 208

= 1

So, Greatest Common Divisor of 698, 564, 725, 208 is 1

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Given numbers are 698, 564, 725, 208
The greatest common divisor of numbers 698, 564, 725, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 564, 725, 208 is 1.

1. What is the GCD of 698, 564, 725, 208?

GCD of given numbers 698, 564, 725, 208 is 1

2. How to calculate the greatest common divisor of 698, 564, 725, 208?

We can find the highest common divisor of 698, 564, 725, 208 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 698, 564, 725, 208 i.e 1.

3. How can I use the GCD of 698, 564, 725, 208Calculator?

Out the numbers 698, 564, 725, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.