GCD of 700, 870, 840, 342 Calculator

Given Input numbers are 700, 870, 840, 342

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 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 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (700, 870, 840, 342) = 2.

Given numbers are 700, 870, 840, 342

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 870 are 2 x 3 x 5 x 29

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 342 are 2 x 3 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 700, 870, 840, 342 is 2.

Given numbers are 700, 870, 840, 342

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

Apply this formula for all numbers.

Step1:

LCM(700, 870) = 60900

GCD(700, 870) = ( 700 x 870 ) / 60900

= 700 / 870

= 700

Step2:

LCM(10, 840) = 840

GCD(10, 840) = ( 10 x 840 ) / 840

= 10 / 840

= 10

Step3:

LCM(10, 342) = 1710

GCD(10, 342) = ( 10 x 342 ) / 1710

= 10 / 342

= 10

So, Greatest Common Divisor of 700, 870, 840, 342 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 768, 201, 233, 532
• GCD of 188, 602, 698, 385
• GCD of 541, 296, 188, 702
• GCD of 980, 992, 455, 149
• GCD of 506, 690, 608, 208

Given numbers are 700, 870, 840, 342
The greatest common divisor of numbers 700, 870, 840, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 870, 840, 342 is 2.

1. What is the GCD of 700, 870, 840, 342?

GCD of given numbers 700, 870, 840, 342 is 2

2. How to calculate the greatest common divisor of 700, 870, 840, 342?

We can find the highest common divisor of 700, 870, 840, 342 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, 870, 840, 342 i.e 2.

3. How can I use the GCD of 700, 870, 840, 342Calculator?

Out the numbers 700, 870, 840, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.