GCD of 420, 525, 625, 242 Calculator

Given Input numbers are 420, 525, 625, 242

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

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 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 625 :

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

1, 5, 25, 125, 625

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

GCD of numbers is the greatest common divisor

So, the GCD (420, 525, 625, 242) = 1.

Given numbers are 420, 525, 625, 242

The list of prime factors of all numbers are

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

Prime factors of 525 are 3 x 5 x 5 x 7

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

Prime factors of 242 are 2 x 11 x 11

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

Given numbers are 420, 525, 625, 242

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

Apply this formula for all numbers.

Step1:

LCM(420, 525) = 2100

GCD(420, 525) = ( 420 x 525 ) / 2100

= 420 / 525

= 420

Step2:

LCM(105, 625) = 13125

GCD(105, 625) = ( 105 x 625 ) / 13125

= 105 / 625

= 105

Step3:

LCM(5, 242) = 1210

GCD(5, 242) = ( 5 x 242 ) / 1210

= 5 / 242

= 5

So, Greatest Common Divisor of 420, 525, 625, 242 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 637, 269, 815, 152
• GCD of 318, 363, 562, 354
• GCD of 844, 646, 568, 982
• GCD of 193, 518, 988, 414
• GCD of 400, 735, 181, 764

Given numbers are 420, 525, 625, 242
The greatest common divisor of numbers 420, 525, 625, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 525, 625, 242 is 1.

1. What is the GCD of 420, 525, 625, 242?

GCD of given numbers 420, 525, 625, 242 is 1

2. How to calculate the greatest common divisor of 420, 525, 625, 242?

We can find the highest common divisor of 420, 525, 625, 242 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 420, 525, 625, 242 i.e 1.

3. How can I use the GCD of 420, 525, 625, 242Calculator?

Out the numbers 420, 525, 625, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.