GCD of 625, 840, 314, 160 Calculator

Given Input numbers are 625, 840, 314, 160

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

Divisors of 625 :

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

1, 5, 25, 125, 625

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 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

GCD of numbers is the greatest common divisor

So, the GCD (625, 840, 314, 160) = 1.

Given numbers are 625, 840, 314, 160

The list of prime factors of all numbers are

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

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

Prime factors of 314 are 2 x 157

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 625, 840, 314, 160

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

Apply this formula for all numbers.

Step1:

LCM(625, 840) = 105000

GCD(625, 840) = ( 625 x 840 ) / 105000

= 625 / 840

= 625

Step2:

LCM(5, 314) = 1570

GCD(5, 314) = ( 5 x 314 ) / 1570

= 5 / 314

= 5

Step3:

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

= 1 / 160

= 1

So, Greatest Common Divisor of 625, 840, 314, 160 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 394, 224, 306, 207
• GCD of 937, 877, 698, 280
• GCD of 397, 475, 187, 329
• GCD of 563, 785, 175, 506
• GCD of 213, 787, 980, 121

Given numbers are 625, 840, 314, 160
The greatest common divisor of numbers 625, 840, 314, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 625, 840, 314, 160 is 1.

1. What is the GCD of 625, 840, 314, 160?

GCD of given numbers 625, 840, 314, 160 is 1

2. How to calculate the greatest common divisor of 625, 840, 314, 160?

We can find the highest common divisor of 625, 840, 314, 160 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 625, 840, 314, 160 i.e 1.

3. How can I use the GCD of 625, 840, 314, 160Calculator?

Out the numbers 625, 840, 314, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.