GCD of 700, 705, 830, 253 Calculator

Given Input numbers are 700, 705, 830, 253

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 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

GCD of numbers is the greatest common divisor

So, the GCD (700, 705, 830, 253) = 1.

Given numbers are 700, 705, 830, 253

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 705 are 3 x 5 x 47

Prime factors of 830 are 2 x 5 x 83

Prime factors of 253 are 11 x 23

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

Given numbers are 700, 705, 830, 253

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

Apply this formula for all numbers.

Step1:

LCM(700, 705) = 98700

GCD(700, 705) = ( 700 x 705 ) / 98700

= 700 / 705

= 700

Step2:

LCM(5, 830) = 830

GCD(5, 830) = ( 5 x 830 ) / 830

= 5 / 830

= 5

Step3:

LCM(5, 253) = 1265

GCD(5, 253) = ( 5 x 253 ) / 1265

= 5 / 253

= 5

So, Greatest Common Divisor of 700, 705, 830, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 122, 550, 222, 479
• GCD of 611, 278, 366, 568
• GCD of 240, 945, 976, 521
• GCD of 789, 284, 546, 915
• GCD of 415, 665, 902, 941

Given numbers are 700, 705, 830, 253
The greatest common divisor of numbers 700, 705, 830, 253 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 705, 830, 253 is 1.

1. What is the GCD of 700, 705, 830, 253?

GCD of given numbers 700, 705, 830, 253 is 1

2. How to calculate the greatest common divisor of 700, 705, 830, 253?

We can find the highest common divisor of 700, 705, 830, 253 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, 705, 830, 253 i.e 1.

3. How can I use the GCD of 700, 705, 830, 253Calculator?

Out the numbers 700, 705, 830, 253 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.