GCD of 466, 280, 672, 742 Calculator

Given Input numbers are 466, 280, 672, 742

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

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

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 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 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (466, 280, 672, 742) = 2.

Given numbers are 466, 280, 672, 742

The list of prime factors of all numbers are

Prime factors of 466 are 2 x 233

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

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

Prime factors of 742 are 2 x 7 x 53

The highest common occurrence is 2¹

Therefore, GCD of 466, 280, 672, 742 is 2.

Given numbers are 466, 280, 672, 742

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

Apply this formula for all numbers.

Step1:

LCM(466, 280) = 65240

GCD(466, 280) = ( 466 x 280 ) / 65240

= 466 / 280

= 466

Step2:

LCM(2, 672) = 672

GCD(2, 672) = ( 2 x 672 ) / 672

= 2 / 672

= 2

Step3:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2

So, Greatest Common Divisor of 466, 280, 672, 742 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 568, 144, 992, 860
• GCD of 503, 669, 213, 939
• GCD of 910, 168, 193, 155
• GCD of 583, 375, 165, 426
• GCD of 442, 425, 952, 574

Given numbers are 466, 280, 672, 742
The greatest common divisor of numbers 466, 280, 672, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 466, 280, 672, 742 is 2.

1. What is the GCD of 466, 280, 672, 742?

GCD of given numbers 466, 280, 672, 742 is 2

2. How to calculate the greatest common divisor of 466, 280, 672, 742?

We can find the highest common divisor of 466, 280, 672, 742 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 466, 280, 672, 742 i.e 2.

3. How can I use the GCD of 466, 280, 672, 742Calculator?

Out the numbers 466, 280, 672, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.