GCD of 147, 420, 957, 600 Calculator

Given Input numbers are 147, 420, 957, 600

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

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

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 957 :

The positive integer divisors of 957 that completely divides 957 are.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

GCD of numbers is the greatest common divisor

So, the GCD (147, 420, 957, 600) = 3.

Given numbers are 147, 420, 957, 600

The list of prime factors of all numbers are

Prime factors of 147 are 3 x 7 x 7

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

Prime factors of 957 are 3 x 11 x 29

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 147, 420, 957, 600 is 3.

Given numbers are 147, 420, 957, 600

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

Apply this formula for all numbers.

Step1:

LCM(147, 420) = 2940

GCD(147, 420) = ( 147 x 420 ) / 2940

= 147 / 420

= 147

Step2:

LCM(21, 957) = 6699

GCD(21, 957) = ( 21 x 957 ) / 6699

= 21 / 957

= 21

Step3:

LCM(3, 600) = 600

GCD(3, 600) = ( 3 x 600 ) / 600

= 3 / 600

= 3

So, Greatest Common Divisor of 147, 420, 957, 600 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 200, 817, 113, 735
• GCD of 814, 754, 570, 901
• GCD of 504, 107, 323, 766
• GCD of 476, 995, 189, 746
• GCD of 364, 416, 750, 824

Given numbers are 147, 420, 957, 600
The greatest common divisor of numbers 147, 420, 957, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 147, 420, 957, 600 is 3.

1. What is the GCD of 147, 420, 957, 600?

GCD of given numbers 147, 420, 957, 600 is 3

2. How to calculate the greatest common divisor of 147, 420, 957, 600?

We can find the highest common divisor of 147, 420, 957, 600 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 147, 420, 957, 600 i.e 3.

3. How can I use the GCD of 147, 420, 957, 600Calculator?

Out the numbers 147, 420, 957, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.