GCD of 490, 945, 115, 370 Calculator

Given Input numbers are 490, 945, 115, 370

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

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

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 370 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (490, 945, 115, 370) = 5.

Given numbers are 490, 945, 115, 370

The list of prime factors of all numbers are

Prime factors of 490 are 2 x 5 x 7 x 7

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 370 are 2 x 5 x 37

The highest common occurrence is 5¹

Therefore, GCD of 490, 945, 115, 370 is 5.

Given numbers are 490, 945, 115, 370

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

Apply this formula for all numbers.

Step1:

LCM(490, 945) = 13230

GCD(490, 945) = ( 490 x 945 ) / 13230

= 490 / 945

= 490

Step2:

LCM(35, 115) = 805

GCD(35, 115) = ( 35 x 115 ) / 805

= 35 / 115

= 35

Step3:

LCM(5, 370) = 370

GCD(5, 370) = ( 5 x 370 ) / 370

= 5 / 370

= 5

So, Greatest Common Divisor of 490, 945, 115, 370 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 870, 482, 171, 690
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Given numbers are 490, 945, 115, 370
The greatest common divisor of numbers 490, 945, 115, 370 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 945, 115, 370 is 5.

1. What is the GCD of 490, 945, 115, 370?

GCD of given numbers 490, 945, 115, 370 is 5

2. How to calculate the greatest common divisor of 490, 945, 115, 370?

We can find the highest common divisor of 490, 945, 115, 370 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 490, 945, 115, 370 i.e 5.

3. How can I use the GCD of 490, 945, 115, 370Calculator?

Out the numbers 490, 945, 115, 370 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.