GCD of 714, 902, 100, 398 Calculator

Given Input numbers are 714, 902, 100, 398

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

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

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

GCD of numbers is the greatest common divisor

So, the GCD (714, 902, 100, 398) = 2.

Given numbers are 714, 902, 100, 398

The list of prime factors of all numbers are

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

Prime factors of 902 are 2 x 11 x 41

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 398 are 2 x 199

The highest common occurrence is 2¹

Therefore, GCD of 714, 902, 100, 398 is 2.

Given numbers are 714, 902, 100, 398

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

Apply this formula for all numbers.

Step1:

LCM(714, 902) = 322014

GCD(714, 902) = ( 714 x 902 ) / 322014

= 714 / 902

= 714

Step2:

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

= 2 / 100

= 2

Step3:

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

= 2 / 398

= 2

So, Greatest Common Divisor of 714, 902, 100, 398 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 477, 479, 807, 340
• GCD of 902, 364, 339, 960
• GCD of 820, 821, 124, 332
• GCD of 608, 570, 692, 442
• GCD of 564, 872, 377, 151

Given numbers are 714, 902, 100, 398
The greatest common divisor of numbers 714, 902, 100, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 902, 100, 398 is 2.

1. What is the GCD of 714, 902, 100, 398?

GCD of given numbers 714, 902, 100, 398 is 2

2. How to calculate the greatest common divisor of 714, 902, 100, 398?

We can find the highest common divisor of 714, 902, 100, 398 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 714, 902, 100, 398 i.e 2.

3. How can I use the GCD of 714, 902, 100, 398Calculator?

Out the numbers 714, 902, 100, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.