GCD of 275, 420, 461, 100 Calculator

Given Input numbers are 275, 420, 461, 100

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

Divisors of 275 :

The positive integer divisors of 275 that completely divides 275 are.

1, 5, 11, 25, 55, 275

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

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 (275, 420, 461, 100) = 1.

Given numbers are 275, 420, 461, 100

The list of prime factors of all numbers are

Prime factors of 275 are 5 x 5 x 11

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 461 are 461

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 275, 420, 461, 100

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

Apply this formula for all numbers.

Step1:

LCM(275, 420) = 23100

GCD(275, 420) = ( 275 x 420 ) / 23100

= 275 / 420

= 275

Step2:

LCM(5, 461) = 2305

GCD(5, 461) = ( 5 x 461 ) / 2305

= 5 / 461

= 5

Step3:

LCM(1, 100) = 100

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

= 1 / 100

= 1

So, Greatest Common Divisor of 275, 420, 461, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 945, 633, 898, 248
• GCD of 613, 367, 838, 551
• GCD of 946, 959, 844, 878
• GCD of 538, 236, 573, 485
• GCD of 583, 133, 775, 155

Given numbers are 275, 420, 461, 100
The greatest common divisor of numbers 275, 420, 461, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 275, 420, 461, 100 is 1.

1. What is the GCD of 275, 420, 461, 100?

GCD of given numbers 275, 420, 461, 100 is 1

2. How to calculate the greatest common divisor of 275, 420, 461, 100?

We can find the highest common divisor of 275, 420, 461, 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 275, 420, 461, 100 i.e 1.

3. How can I use the GCD of 275, 420, 461, 100Calculator?

Out the numbers 275, 420, 461, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.