GCD of 714, 696, 634, 870 Calculator

Given Input numbers are 714, 696, 634, 870

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 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

GCD of numbers is the greatest common divisor

So, the GCD (714, 696, 634, 870) = 2.

Given numbers are 714, 696, 634, 870

The list of prime factors of all numbers are

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

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 634 are 2 x 317

Prime factors of 870 are 2 x 3 x 5 x 29

The highest common occurrence is 2¹

Therefore, GCD of 714, 696, 634, 870 is 2.

Given numbers are 714, 696, 634, 870

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

Apply this formula for all numbers.

Step1:

LCM(714, 696) = 82824

GCD(714, 696) = ( 714 x 696 ) / 82824

= 714 / 696

= 714

Step2:

LCM(6, 634) = 1902

GCD(6, 634) = ( 6 x 634 ) / 1902

= 6 / 634

= 6

Step3:

LCM(2, 870) = 870

GCD(2, 870) = ( 2 x 870 ) / 870

= 2 / 870

= 2

So, Greatest Common Divisor of 714, 696, 634, 870 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 139, 889, 663, 190
• GCD of 332, 705, 266, 123
• GCD of 655, 657, 910, 753
• GCD of 272, 665, 587, 321
• GCD of 638, 323, 521, 588

Given numbers are 714, 696, 634, 870
The greatest common divisor of numbers 714, 696, 634, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 696, 634, 870 is 2.

1. What is the GCD of 714, 696, 634, 870?

GCD of given numbers 714, 696, 634, 870 is 2

2. How to calculate the greatest common divisor of 714, 696, 634, 870?

We can find the highest common divisor of 714, 696, 634, 870 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, 696, 634, 870 i.e 2.

3. How can I use the GCD of 714, 696, 634, 870Calculator?

Out the numbers 714, 696, 634, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.