GCD of 420, 700, 525, 650 Calculator

Given Input numbers are 420, 700, 525, 650

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 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

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 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

GCD of numbers is the greatest common divisor

So, the GCD (420, 700, 525, 650) = 5.

Given numbers are 420, 700, 525, 650

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 700 are 2 x 2 x 5 x 5 x 7

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

Prime factors of 650 are 2 x 5 x 5 x 13

The highest common occurrence is 5¹

Therefore, GCD of 420, 700, 525, 650 is 5.

Given numbers are 420, 700, 525, 650

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

Apply this formula for all numbers.

Step1:

LCM(420, 700) = 2100

GCD(420, 700) = ( 420 x 700 ) / 2100

= 420 / 700

= 420

Step2:

LCM(140, 525) = 2100

GCD(140, 525) = ( 140 x 525 ) / 2100

= 140 / 525

= 140

Step3:

LCM(35, 650) = 4550

GCD(35, 650) = ( 35 x 650 ) / 4550

= 35 / 650

= 35

So, Greatest Common Divisor of 420, 700, 525, 650 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 787, 209, 358, 839
• GCD of 369, 568, 444, 304
• GCD of 194, 770, 799, 611
• GCD of 895, 229, 992, 574
• GCD of 307, 598, 635, 839

Given numbers are 420, 700, 525, 650
The greatest common divisor of numbers 420, 700, 525, 650 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 700, 525, 650 is 5.

1. What is the GCD of 420, 700, 525, 650?

GCD of given numbers 420, 700, 525, 650 is 5

2. How to calculate the greatest common divisor of 420, 700, 525, 650?

We can find the highest common divisor of 420, 700, 525, 650 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, 700, 525, 650 i.e 5.

3. How can I use the GCD of 420, 700, 525, 650Calculator?

Out the numbers 420, 700, 525, 650 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.