GCD of 370, 945, 115, 840 Calculator

Given Input numbers are 370, 945, 115, 840

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

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 115 :

The positive integer divisors of 115 that completely divides 115 are.

1, 5, 23, 115

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

GCD of numbers is the greatest common divisor

So, the GCD (370, 945, 115, 840) = 5.

Given numbers are 370, 945, 115, 840

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 115 are 5 x 23

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

The highest common occurrence is 5¹

Therefore, GCD of 370, 945, 115, 840 is 5.

Given numbers are 370, 945, 115, 840

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

Apply this formula for all numbers.

Step1:

LCM(370, 945) = 69930

GCD(370, 945) = ( 370 x 945 ) / 69930

= 370 / 945

= 370

Step2:

LCM(5, 115) = 115

GCD(5, 115) = ( 5 x 115 ) / 115

= 5 / 115

= 5

Step3:

LCM(5, 840) = 840

GCD(5, 840) = ( 5 x 840 ) / 840

= 5 / 840

= 5

So, Greatest Common Divisor of 370, 945, 115, 840 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 735, 190, 363, 351
• GCD of 779, 325, 498, 828
• GCD of 907, 127, 620, 734
• GCD of 620, 448, 800, 226
• GCD of 126, 145, 799, 397

Given numbers are 370, 945, 115, 840
The greatest common divisor of numbers 370, 945, 115, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 945, 115, 840 is 5.

1. What is the GCD of 370, 945, 115, 840?

GCD of given numbers 370, 945, 115, 840 is 5

2. How to calculate the greatest common divisor of 370, 945, 115, 840?

We can find the highest common divisor of 370, 945, 115, 840 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 370, 945, 115, 840 i.e 5.

3. How can I use the GCD of 370, 945, 115, 840Calculator?

Out the numbers 370, 945, 115, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.