GCD of 915, 940, 310, 105 Calculator

Given Input numbers are 915, 940, 310, 105

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

Divisors of 915 :

The positive integer divisors of 915 that completely divides 915 are.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

GCD of numbers is the greatest common divisor

So, the GCD (915, 940, 310, 105) = 5.

Given numbers are 915, 940, 310, 105

The list of prime factors of all numbers are

Prime factors of 915 are 3 x 5 x 61

Prime factors of 940 are 2 x 2 x 5 x 47

Prime factors of 310 are 2 x 5 x 31

Prime factors of 105 are 3 x 5 x 7

The highest common occurrence is 5¹

Therefore, GCD of 915, 940, 310, 105 is 5.

Given numbers are 915, 940, 310, 105

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

Apply this formula for all numbers.

Step1:

LCM(915, 940) = 172020

GCD(915, 940) = ( 915 x 940 ) / 172020

= 915 / 940

= 915

Step2:

LCM(5, 310) = 310

GCD(5, 310) = ( 5 x 310 ) / 310

= 5 / 310

= 5

Step3:

LCM(5, 105) = 105

GCD(5, 105) = ( 5 x 105 ) / 105

= 5 / 105

= 5

So, Greatest Common Divisor of 915, 940, 310, 105 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 119, 595, 674, 824
• GCD of 672, 817, 920, 916
• GCD of 596, 632, 969, 206
• GCD of 761, 166, 271, 895
• GCD of 660, 396, 674, 883

Given numbers are 915, 940, 310, 105
The greatest common divisor of numbers 915, 940, 310, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 915, 940, 310, 105 is 5.

1. What is the GCD of 915, 940, 310, 105?

GCD of given numbers 915, 940, 310, 105 is 5

2. How to calculate the greatest common divisor of 915, 940, 310, 105?

We can find the highest common divisor of 915, 940, 310, 105 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 915, 940, 310, 105 i.e 5.

3. How can I use the GCD of 915, 940, 310, 105Calculator?

Out the numbers 915, 940, 310, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.