GCD of 112, 343, 825, 135 Calculator

Given Input numbers are 112, 343, 825, 135

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

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 135 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (112, 343, 825, 135) = 1.

Given numbers are 112, 343, 825, 135

The list of prime factors of all numbers are

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 343 are 7 x 7 x 7

Prime factors of 825 are 3 x 5 x 5 x 11

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 112, 343, 825, 135

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

Apply this formula for all numbers.

Step1:

LCM(112, 343) = 5488

GCD(112, 343) = ( 112 x 343 ) / 5488

= 112 / 343

= 112

Step2:

LCM(7, 825) = 5775

GCD(7, 825) = ( 7 x 825 ) / 5775

= 7 / 825

= 7

Step3:

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

= 1 / 135

= 1

So, Greatest Common Divisor of 112, 343, 825, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 453, 408, 247, 909
• GCD of 650, 977, 893, 475
• GCD of 862, 665, 255, 707
• GCD of 565, 616, 832, 637
• GCD of 714, 473, 168, 695

Given numbers are 112, 343, 825, 135
The greatest common divisor of numbers 112, 343, 825, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 343, 825, 135 is 1.

1. What is the GCD of 112, 343, 825, 135?

GCD of given numbers 112, 343, 825, 135 is 1

2. How to calculate the greatest common divisor of 112, 343, 825, 135?

We can find the highest common divisor of 112, 343, 825, 135 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 112, 343, 825, 135 i.e 1.

3. How can I use the GCD of 112, 343, 825, 135Calculator?

Out the numbers 112, 343, 825, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.