GCD of 854, 700, 10, 402 Calculator

Given Input numbers are 854, 700, 10, 402

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

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

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 10 :

The positive integer divisors of 10 that completely divides 10 are.

1, 2, 5, 10

Divisors of 402 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (854, 700, 10, 402) = 2.

Given numbers are 854, 700, 10, 402

The list of prime factors of all numbers are

Prime factors of 854 are 2 x 7 x 61

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

Prime factors of 10 are 2 x 5

Prime factors of 402 are 2 x 3 x 67

The highest common occurrence is 2¹

Therefore, GCD of 854, 700, 10, 402 is 2.

Given numbers are 854, 700, 10, 402

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

Apply this formula for all numbers.

Step1:

LCM(854, 700) = 42700

GCD(854, 700) = ( 854 x 700 ) / 42700

= 854 / 700

= 854

Step2:

LCM(14, 10) = 70

GCD(14, 10) = ( 14 x 10 ) / 70

= 14 / 10

= 14

Step3:

LCM(2, 402) = 402

GCD(2, 402) = ( 2 x 402 ) / 402

= 2 / 402

= 2

So, Greatest Common Divisor of 854, 700, 10, 402 is 2

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• GCD of 860, 163, 51, 678
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• GCD of 895, 436, 37, 361

Given numbers are 854, 700, 10, 402
The greatest common divisor of numbers 854, 700, 10, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 854, 700, 10, 402 is 2.

1. What is the GCD of 854, 700, 10, 402?

GCD of given numbers 854, 700, 10, 402 is 2

2. How to calculate the greatest common divisor of 854, 700, 10, 402?

We can find the highest common divisor of 854, 700, 10, 402 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 854, 700, 10, 402 i.e 2.

3. How can I use the GCD of 854, 700, 10, 402Calculator?

Out the numbers 854, 700, 10, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.