GCD of 140, 852, 456 Calculator

Given Input numbers are 140, 852, 456

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

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

GCD of numbers is the greatest common divisor

So, the GCD (140, 852, 456) = 4.

Given numbers are 140, 852, 456

The list of prime factors of all numbers are

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

The highest common occurrence is 2²

Therefore, GCD of 140, 852, 456 is 4.

Given numbers are 140, 852, 456

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

Apply this formula for all numbers.

Step1:

LCM(140, 852) = 29820

GCD(140, 852) = ( 140 x 852 ) / 29820

= 140 / 852

= 140

Step2:

LCM(4, 456) = 456

GCD(4, 456) = ( 4 x 456 ) / 456

= 4 / 456

= 4

So, Greatest Common Divisor of 140, 852, 456 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 548, 647, 235
• GCD of 608, 654, 587
• GCD of 756, 842, 161
• GCD of 839, 332, 235
• GCD of 987, 495, 781

Given numbers are 140, 852, 456
The greatest common divisor of numbers 140, 852, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 852, 456 is 4.

1. What is the GCD of 140, 852, 456?

GCD of given numbers 140, 852, 456 is 4

2. How to calculate the greatest common divisor of 140, 852, 456?

We can find the highest common divisor of 140, 852, 456 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 140, 852, 456 i.e 4.

3. How can I use the GCD of 140, 852, 456Calculator?

Out the numbers 140, 852, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.