GCD of 133, 357, 147, 315 Calculator

Given Input numbers are 133, 357, 147, 315

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

Divisors of 133 :

The positive integer divisors of 133 that completely divides 133 are.

1, 7, 19, 133

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 147 :

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

1, 3, 7, 21, 49, 147

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

GCD of numbers is the greatest common divisor

So, the GCD (133, 357, 147, 315) = 7.

Given numbers are 133, 357, 147, 315

The list of prime factors of all numbers are

Prime factors of 133 are 7 x 19

Prime factors of 357 are 3 x 7 x 17

Prime factors of 147 are 3 x 7 x 7

Prime factors of 315 are 3 x 3 x 5 x 7

The highest common occurrence is 7¹

Therefore, GCD of 133, 357, 147, 315 is 7.

Given numbers are 133, 357, 147, 315

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

Apply this formula for all numbers.

Step1:

LCM(133, 357) = 6783

GCD(133, 357) = ( 133 x 357 ) / 6783

= 133 / 357

= 133

Step2:

LCM(7, 147) = 147

GCD(7, 147) = ( 7 x 147 ) / 147

= 7 / 147

= 7

Step3:

LCM(7, 315) = 315

GCD(7, 315) = ( 7 x 315 ) / 315

= 7 / 315

= 7

So, Greatest Common Divisor of 133, 357, 147, 315 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 986, 966, 334, 832
• GCD of 726, 147, 160, 820
• GCD of 445, 338, 682, 963
• GCD of 465, 314, 182, 901
• GCD of 642, 387, 335, 761

Given numbers are 133, 357, 147, 315
The greatest common divisor of numbers 133, 357, 147, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 133, 357, 147, 315 is 7.

1. What is the GCD of 133, 357, 147, 315?

GCD of given numbers 133, 357, 147, 315 is 7

2. How to calculate the greatest common divisor of 133, 357, 147, 315?

We can find the highest common divisor of 133, 357, 147, 315 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 133, 357, 147, 315 i.e 7.

3. How can I use the GCD of 133, 357, 147, 315Calculator?

Out the numbers 133, 357, 147, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.