GCD of 860, 235, 625, 400 Calculator

Given Input numbers are 860, 235, 625, 400

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

Divisors of 860 :

The positive integer divisors of 860 that completely divides 860 are.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 235 :

The positive integer divisors of 235 that completely divides 235 are.

1, 5, 47, 235

Divisors of 625 :

The positive integer divisors of 625 that completely divides 625 are.

1, 5, 25, 125, 625

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (860, 235, 625, 400) = 5.

Given numbers are 860, 235, 625, 400

The list of prime factors of all numbers are

Prime factors of 860 are 2 x 2 x 5 x 43

Prime factors of 235 are 5 x 47

Prime factors of 625 are 5 x 5 x 5 x 5

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

The highest common occurrence is 5¹

Therefore, GCD of 860, 235, 625, 400 is 5.

Given numbers are 860, 235, 625, 400

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

Apply this formula for all numbers.

Step1:

LCM(860, 235) = 40420

GCD(860, 235) = ( 860 x 235 ) / 40420

= 860 / 235

= 860

Step2:

LCM(5, 625) = 625

GCD(5, 625) = ( 5 x 625 ) / 625

= 5 / 625

= 5

Step3:

LCM(5, 400) = 400

GCD(5, 400) = ( 5 x 400 ) / 400

= 5 / 400

= 5

So, Greatest Common Divisor of 860, 235, 625, 400 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 260, 770, 869, 395
• GCD of 787, 451, 716, 120
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• GCD of 558, 997, 363, 525

Given numbers are 860, 235, 625, 400
The greatest common divisor of numbers 860, 235, 625, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 860, 235, 625, 400 is 5.

1. What is the GCD of 860, 235, 625, 400?

GCD of given numbers 860, 235, 625, 400 is 5

2. How to calculate the greatest common divisor of 860, 235, 625, 400?

We can find the highest common divisor of 860, 235, 625, 400 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 860, 235, 625, 400 i.e 5.

3. How can I use the GCD of 860, 235, 625, 400Calculator?

Out the numbers 860, 235, 625, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.