GCD of 846, 135, 987, 672 Calculator

Given Input numbers are 846, 135, 987, 672

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

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

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

GCD of numbers is the greatest common divisor

So, the GCD (846, 135, 987, 672) = 3.

Given numbers are 846, 135, 987, 672

The list of prime factors of all numbers are

Prime factors of 846 are 2 x 3 x 3 x 47

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 987 are 3 x 7 x 47

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

The highest common occurrence is 3¹

Therefore, GCD of 846, 135, 987, 672 is 3.

Given numbers are 846, 135, 987, 672

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

Apply this formula for all numbers.

Step1:

LCM(846, 135) = 12690

GCD(846, 135) = ( 846 x 135 ) / 12690

= 846 / 135

= 846

Step2:

LCM(9, 987) = 2961

GCD(9, 987) = ( 9 x 987 ) / 2961

= 9 / 987

= 9

Step3:

LCM(3, 672) = 672

GCD(3, 672) = ( 3 x 672 ) / 672

= 3 / 672

= 3

So, Greatest Common Divisor of 846, 135, 987, 672 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 915, 711, 252, 658
• GCD of 946, 792, 361, 899
• GCD of 329, 846, 174, 284
• GCD of 718, 869, 882, 663
• GCD of 984, 967, 554, 413

Given numbers are 846, 135, 987, 672
The greatest common divisor of numbers 846, 135, 987, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 846, 135, 987, 672 is 3.

1. What is the GCD of 846, 135, 987, 672?

GCD of given numbers 846, 135, 987, 672 is 3

2. How to calculate the greatest common divisor of 846, 135, 987, 672?

We can find the highest common divisor of 846, 135, 987, 672 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 846, 135, 987, 672 i.e 3.

3. How can I use the GCD of 846, 135, 987, 672Calculator?

Out the numbers 846, 135, 987, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.