GCD of 112, 280, 840, 665 Calculator

Given Input numbers are 112, 280, 840, 665

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 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 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 665 :

The positive integer divisors of 665 that completely divides 665 are.

1, 5, 7, 19, 35, 95, 133, 665

GCD of numbers is the greatest common divisor

So, the GCD (112, 280, 840, 665) = 7.

Given numbers are 112, 280, 840, 665

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 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 665 are 5 x 7 x 19

The highest common occurrence is 7¹

Therefore, GCD of 112, 280, 840, 665 is 7.

Given numbers are 112, 280, 840, 665

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

Apply this formula for all numbers.

Step1:

LCM(112, 280) = 560

GCD(112, 280) = ( 112 x 280 ) / 560

= 112 / 280

= 112

Step2:

LCM(56, 840) = 840

GCD(56, 840) = ( 56 x 840 ) / 840

= 56 / 840

= 56

Step3:

LCM(56, 665) = 5320

GCD(56, 665) = ( 56 x 665 ) / 5320

= 56 / 665

= 56

So, Greatest Common Divisor of 112, 280, 840, 665 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 189, 325, 351, 413
• GCD of 669, 468, 741, 687
• GCD of 655, 844, 859, 672
• GCD of 298, 955, 723, 778
• GCD of 158, 389, 965, 126

Given numbers are 112, 280, 840, 665
The greatest common divisor of numbers 112, 280, 840, 665 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 280, 840, 665 is 7.

1. What is the GCD of 112, 280, 840, 665?

GCD of given numbers 112, 280, 840, 665 is 7

2. How to calculate the greatest common divisor of 112, 280, 840, 665?

We can find the highest common divisor of 112, 280, 840, 665 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, 280, 840, 665 i.e 7.

3. How can I use the GCD of 112, 280, 840, 665Calculator?

Out the numbers 112, 280, 840, 665 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.