GCD of 700, 249, 990, 725 Calculator

Given Input numbers are 700, 249, 990, 725

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

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 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 725 :

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

1, 5, 25, 29, 145, 725

GCD of numbers is the greatest common divisor

So, the GCD (700, 249, 990, 725) = 1.

Given numbers are 700, 249, 990, 725

The list of prime factors of all numbers are

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

Prime factors of 249 are 3 x 83

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 725 are 5 x 5 x 29

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

Given numbers are 700, 249, 990, 725

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

Apply this formula for all numbers.

Step1:

LCM(700, 249) = 174300

GCD(700, 249) = ( 700 x 249 ) / 174300

= 700 / 249

= 700

Step2:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1

Step3:

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

= 1 / 725

= 1

So, Greatest Common Divisor of 700, 249, 990, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 857, 205, 161, 264
• GCD of 788, 436, 904, 559
• GCD of 849, 624, 362, 846
• GCD of 901, 966, 893, 310
• GCD of 530, 844, 678, 289

Given numbers are 700, 249, 990, 725
The greatest common divisor of numbers 700, 249, 990, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 249, 990, 725 is 1.

1. What is the GCD of 700, 249, 990, 725?

GCD of given numbers 700, 249, 990, 725 is 1

2. How to calculate the greatest common divisor of 700, 249, 990, 725?

We can find the highest common divisor of 700, 249, 990, 725 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 700, 249, 990, 725 i.e 1.

3. How can I use the GCD of 700, 249, 990, 725Calculator?

Out the numbers 700, 249, 990, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.