GCD of 832, 696, 496, 140 Calculator

Given Input numbers are 832, 696, 496, 140

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

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

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

GCD of numbers is the greatest common divisor

So, the GCD (832, 696, 496, 140) = 4.

Given numbers are 832, 696, 496, 140

The list of prime factors of all numbers are

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

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

The highest common occurrence is 2²

Therefore, GCD of 832, 696, 496, 140 is 4.

Given numbers are 832, 696, 496, 140

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

Apply this formula for all numbers.

Step1:

LCM(832, 696) = 72384

GCD(832, 696) = ( 832 x 696 ) / 72384

= 832 / 696

= 832

Step2:

LCM(8, 496) = 496

GCD(8, 496) = ( 8 x 496 ) / 496

= 8 / 496

= 8

Step3:

LCM(8, 140) = 280

GCD(8, 140) = ( 8 x 140 ) / 280

= 8 / 140

= 8

So, Greatest Common Divisor of 832, 696, 496, 140 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 509, 135, 534, 500
• GCD of 799, 373, 940, 520
• GCD of 324, 677, 478, 530
• GCD of 224, 851, 904, 233
• GCD of 564, 415, 138, 154

Given numbers are 832, 696, 496, 140
The greatest common divisor of numbers 832, 696, 496, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 832, 696, 496, 140 is 4.

1. What is the GCD of 832, 696, 496, 140?

GCD of given numbers 832, 696, 496, 140 is 4

2. How to calculate the greatest common divisor of 832, 696, 496, 140?

We can find the highest common divisor of 832, 696, 496, 140 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 832, 696, 496, 140 i.e 4.

3. How can I use the GCD of 832, 696, 496, 140Calculator?

Out the numbers 832, 696, 496, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.