GCD of 385, 577, 252, 100 Calculator

Given Input numbers are 385, 577, 252, 100

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

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 577 :

The positive integer divisors of 577 that completely divides 577 are.

1, 577

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

GCD of numbers is the greatest common divisor

So, the GCD (385, 577, 252, 100) = 1.

Given numbers are 385, 577, 252, 100

The list of prime factors of all numbers are

Prime factors of 385 are 5 x 7 x 11

Prime factors of 577 are 577

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 100 are 2 x 2 x 5 x 5

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

Given numbers are 385, 577, 252, 100

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

Apply this formula for all numbers.

Step1:

LCM(385, 577) = 222145

GCD(385, 577) = ( 385 x 577 ) / 222145

= 385 / 577

= 385

Step2:

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

= 1 / 252

= 1

Step3:

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

= 1 / 100

= 1

So, Greatest Common Divisor of 385, 577, 252, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 701, 279, 808, 986
• GCD of 841, 670, 192, 435
• GCD of 924, 639, 984, 475
• GCD of 297, 807, 817, 142
• GCD of 480, 123, 542, 864

Given numbers are 385, 577, 252, 100
The greatest common divisor of numbers 385, 577, 252, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 385, 577, 252, 100 is 1.

1. What is the GCD of 385, 577, 252, 100?

GCD of given numbers 385, 577, 252, 100 is 1

2. How to calculate the greatest common divisor of 385, 577, 252, 100?

We can find the highest common divisor of 385, 577, 252, 100 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 385, 577, 252, 100 i.e 1.

3. How can I use the GCD of 385, 577, 252, 100Calculator?

Out the numbers 385, 577, 252, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.