GCD of 253, 700, 469, 714 Calculator

Given Input numbers are 253, 700, 469, 714

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

Divisors of 253 :

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

1, 11, 23, 253

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 469 :

The positive integer divisors of 469 that completely divides 469 are.

1, 7, 67, 469

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

GCD of numbers is the greatest common divisor

So, the GCD (253, 700, 469, 714) = 1.

Given numbers are 253, 700, 469, 714

The list of prime factors of all numbers are

Prime factors of 253 are 11 x 23

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

Prime factors of 469 are 7 x 67

Prime factors of 714 are 2 x 3 x 7 x 17

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

Given numbers are 253, 700, 469, 714

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

Apply this formula for all numbers.

Step1:

LCM(253, 700) = 177100

GCD(253, 700) = ( 253 x 700 ) / 177100

= 253 / 700

= 253

Step2:

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

= 1 / 469

= 1

Step3:

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

= 1 / 714

= 1

So, Greatest Common Divisor of 253, 700, 469, 714 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 740, 930, 987
• GCD of 219, 584, 563, 293
• GCD of 644, 760, 925, 464
• GCD of 669, 861, 262, 768
• GCD of 530, 405, 381, 134

Given numbers are 253, 700, 469, 714
The greatest common divisor of numbers 253, 700, 469, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 253, 700, 469, 714 is 1.

1. What is the GCD of 253, 700, 469, 714?

GCD of given numbers 253, 700, 469, 714 is 1

2. How to calculate the greatest common divisor of 253, 700, 469, 714?

We can find the highest common divisor of 253, 700, 469, 714 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 253, 700, 469, 714 i.e 1.

3. How can I use the GCD of 253, 700, 469, 714Calculator?

Out the numbers 253, 700, 469, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.