GCD of 625, 705, 157, 916 Calculator

Given Input numbers are 625, 705, 157, 916

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 625, 705, 157, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 705, 157, 916 is 1.

Therefore, GCD of numbers 625, 705, 157, 916 is 1

Given Input Data is 625, 705, 157, 916

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 157 is 157

Prime Factorization of 916 is 2 x 2 x 229

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(625, 705) = 88125

GCD(625, 705) = ( 625 x 705 ) / 88125

GCD(625, 705) = 440625 / 88125

GCD(625, 705) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 157

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

LCM(5, 157) = 785

GCD(5, 157) = ( 5 x 157 ) / 785

GCD(5, 157) = 785 / 785

GCD(5, 157) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

GCD of 625, 705, 157, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 932, 776, 790, 722
• GCD of 161, 821, 381, 893
• GCD of 623, 627, 779, 834
• GCD of 719, 748, 477, 368
• GCD of 619, 331, 169, 411

1. What is the GCD of 625, 705, 157, 916?

GCD of 625, 705, 157, 916 is 1

2. Where do I get the detailed procedure to find GCD of 625, 705, 157, 916?

You can find a detailed procedure to find GCD of 625, 705, 157, 916 on our page.

3. How to find GCD of 625, 705, 157, 916 on a calculator?

You can find the GCD of 625, 705, 157, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.