GCD of 672, 133, 280, 252 Calculator

Given Input numbers are 672, 133, 280, 252

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

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 133 :

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

1, 7, 19, 133

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

GCD of numbers is the greatest common divisor

So, the GCD (672, 133, 280, 252) = 7.

Given numbers are 672, 133, 280, 252

The list of prime factors of all numbers are

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 133 are 7 x 19

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

The highest common occurrence is 7¹

Therefore, GCD of 672, 133, 280, 252 is 7.

Given numbers are 672, 133, 280, 252

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

Apply this formula for all numbers.

Step1:

LCM(672, 133) = 12768

GCD(672, 133) = ( 672 x 133 ) / 12768

= 672 / 133

= 672

Step2:

LCM(7, 280) = 280

GCD(7, 280) = ( 7 x 280 ) / 280

= 7 / 280

= 7

Step3:

LCM(7, 252) = 252

GCD(7, 252) = ( 7 x 252 ) / 252

= 7 / 252

= 7

So, Greatest Common Divisor of 672, 133, 280, 252 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 841, 693, 625
• GCD of 204, 342, 105, 442
• GCD of 424, 567, 447, 624
• GCD of 693, 966, 279, 964
• GCD of 297, 541, 260, 355

Given numbers are 672, 133, 280, 252
The greatest common divisor of numbers 672, 133, 280, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 133, 280, 252 is 7.

1. What is the GCD of 672, 133, 280, 252?

GCD of given numbers 672, 133, 280, 252 is 7

2. How to calculate the greatest common divisor of 672, 133, 280, 252?

We can find the highest common divisor of 672, 133, 280, 252 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 672, 133, 280, 252 i.e 7.

3. How can I use the GCD of 672, 133, 280, 252Calculator?

Out the numbers 672, 133, 280, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.