GCD of 858, 102, 700, 698 Calculator

Given Input numbers are 858, 102, 700, 698

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

Divisors of 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

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 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (858, 102, 700, 698) = 2.

Given numbers are 858, 102, 700, 698

The list of prime factors of all numbers are

Prime factors of 858 are 2 x 3 x 11 x 13

Prime factors of 102 are 2 x 3 x 17

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

Prime factors of 698 are 2 x 349

The highest common occurrence is 2¹

Therefore, GCD of 858, 102, 700, 698 is 2.

Given numbers are 858, 102, 700, 698

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

Apply this formula for all numbers.

Step1:

LCM(858, 102) = 14586

GCD(858, 102) = ( 858 x 102 ) / 14586

= 858 / 102

= 858

Step2:

LCM(6, 700) = 2100

GCD(6, 700) = ( 6 x 700 ) / 2100

= 6 / 700

= 6

Step3:

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

= 2 / 698

= 2

So, Greatest Common Divisor of 858, 102, 700, 698 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 395, 709, 350, 744
• GCD of 310, 146, 228, 231
• GCD of 619, 154, 857, 609
• GCD of 195, 208, 463, 580
• GCD of 191, 591, 904, 895

Given numbers are 858, 102, 700, 698
The greatest common divisor of numbers 858, 102, 700, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 858, 102, 700, 698 is 2.

1. What is the GCD of 858, 102, 700, 698?

GCD of given numbers 858, 102, 700, 698 is 2

2. How to calculate the greatest common divisor of 858, 102, 700, 698?

We can find the highest common divisor of 858, 102, 700, 698 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 858, 102, 700, 698 i.e 2.

3. How can I use the GCD of 858, 102, 700, 698Calculator?

Out the numbers 858, 102, 700, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.