GCD of 870, 100, 705, 709 Calculator

Given Input numbers are 870, 100, 705, 709

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

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 100 :

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

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

Divisors of 705 :

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

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

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

GCD of numbers is the greatest common divisor

So, the GCD (870, 100, 705, 709) = 1.

Given numbers are 870, 100, 705, 709

The list of prime factors of all numbers are

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

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

Prime factors of 705 are 3 x 5 x 47

Prime factors of 709 are 709

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

Given numbers are 870, 100, 705, 709

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

Apply this formula for all numbers.

Step1:

LCM(870, 100) = 8700

GCD(870, 100) = ( 870 x 100 ) / 8700

= 870 / 100

= 870

Step2:

LCM(10, 705) = 1410

GCD(10, 705) = ( 10 x 705 ) / 1410

= 10 / 705

= 10

Step3:

LCM(5, 709) = 3545

GCD(5, 709) = ( 5 x 709 ) / 3545

= 5 / 709

= 5

So, Greatest Common Divisor of 870, 100, 705, 709 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 902, 364, 402, 141
• GCD of 325, 183, 714, 525
• GCD of 283, 145, 238, 844
• GCD of 378, 804, 305, 918
• GCD of 817, 753, 913, 109

Given numbers are 870, 100, 705, 709
The greatest common divisor of numbers 870, 100, 705, 709 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 100, 705, 709 is 1.

1. What is the GCD of 870, 100, 705, 709?

GCD of given numbers 870, 100, 705, 709 is 1

2. How to calculate the greatest common divisor of 870, 100, 705, 709?

We can find the highest common divisor of 870, 100, 705, 709 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 870, 100, 705, 709 i.e 1.

3. How can I use the GCD of 870, 100, 705, 709Calculator?

Out the numbers 870, 100, 705, 709 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.