GCD of 680, 870, 735, 695 Calculator

Given Input numbers are 680, 870, 735, 695

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

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

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

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 695 :

The positive integer divisors of 695 that completely divides 695 are.

1, 5, 139, 695

GCD of numbers is the greatest common divisor

So, the GCD (680, 870, 735, 695) = 5.

Given numbers are 680, 870, 735, 695

The list of prime factors of all numbers are

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

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

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 695 are 5 x 139

The highest common occurrence is 5¹

Therefore, GCD of 680, 870, 735, 695 is 5.

Given numbers are 680, 870, 735, 695

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

Apply this formula for all numbers.

Step1:

LCM(680, 870) = 59160

GCD(680, 870) = ( 680 x 870 ) / 59160

= 680 / 870

= 680

Step2:

LCM(10, 735) = 1470

GCD(10, 735) = ( 10 x 735 ) / 1470

= 10 / 735

= 10

Step3:

LCM(5, 695) = 695

GCD(5, 695) = ( 5 x 695 ) / 695

= 5 / 695

= 5

So, Greatest Common Divisor of 680, 870, 735, 695 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 381, 257, 876, 851
• GCD of 333, 811, 791, 598
• GCD of 261, 493, 472, 406
• GCD of 581, 636, 251, 689
• GCD of 665, 252, 989, 628

Given numbers are 680, 870, 735, 695
The greatest common divisor of numbers 680, 870, 735, 695 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 870, 735, 695 is 5.

1. What is the GCD of 680, 870, 735, 695?

GCD of given numbers 680, 870, 735, 695 is 5

2. How to calculate the greatest common divisor of 680, 870, 735, 695?

We can find the highest common divisor of 680, 870, 735, 695 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 680, 870, 735, 695 i.e 5.

3. How can I use the GCD of 680, 870, 735, 695Calculator?

Out the numbers 680, 870, 735, 695 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.