GCD of 700, 402, 102, 214 Calculator

Given Input numbers are 700, 402, 102, 214

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

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 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 102 :

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

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

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (700, 402, 102, 214) = 2.

Given numbers are 700, 402, 102, 214

The list of prime factors of all numbers are

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

Prime factors of 402 are 2 x 3 x 67

Prime factors of 102 are 2 x 3 x 17

Prime factors of 214 are 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 700, 402, 102, 214 is 2.

Given numbers are 700, 402, 102, 214

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

Apply this formula for all numbers.

Step1:

LCM(700, 402) = 140700

GCD(700, 402) = ( 700 x 402 ) / 140700

= 700 / 402

= 700

Step2:

LCM(2, 102) = 102

GCD(2, 102) = ( 2 x 102 ) / 102

= 2 / 102

= 2

Step3:

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

= 2 / 214

= 2

So, Greatest Common Divisor of 700, 402, 102, 214 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 747, 365, 297, 416
• GCD of 740, 322, 233, 776
• GCD of 666, 297, 718, 785
• GCD of 371, 540, 994, 316
• GCD of 599, 855, 258, 933

Given numbers are 700, 402, 102, 214
The greatest common divisor of numbers 700, 402, 102, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 402, 102, 214 is 2.

1. What is the GCD of 700, 402, 102, 214?

GCD of given numbers 700, 402, 102, 214 is 2

2. How to calculate the greatest common divisor of 700, 402, 102, 214?

We can find the highest common divisor of 700, 402, 102, 214 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 700, 402, 102, 214 i.e 2.

3. How can I use the GCD of 700, 402, 102, 214Calculator?

Out the numbers 700, 402, 102, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.