GCD of 120, 170, 515, 755 Calculator

Given Input numbers are 120, 170, 515, 755

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 515 :

The positive integer divisors of 515 that completely divides 515 are.

1, 5, 103, 515

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

GCD of numbers is the greatest common divisor

So, the GCD (120, 170, 515, 755) = 5.

Given numbers are 120, 170, 515, 755

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 170 are 2 x 5 x 17

Prime factors of 515 are 5 x 103

Prime factors of 755 are 5 x 151

The highest common occurrence is 5¹

Therefore, GCD of 120, 170, 515, 755 is 5.

Given numbers are 120, 170, 515, 755

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

Apply this formula for all numbers.

Step1:

LCM(120, 170) = 2040

GCD(120, 170) = ( 120 x 170 ) / 2040

= 120 / 170

= 120

Step2:

LCM(10, 515) = 1030

GCD(10, 515) = ( 10 x 515 ) / 1030

= 10 / 515

= 10

Step3:

LCM(5, 755) = 755

GCD(5, 755) = ( 5 x 755 ) / 755

= 5 / 755

= 5

So, Greatest Common Divisor of 120, 170, 515, 755 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 462, 292, 377, 372
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• GCD of 206, 249, 209, 851
• GCD of 525, 969, 319, 930
• GCD of 134, 491, 521, 676

Given numbers are 120, 170, 515, 755
The greatest common divisor of numbers 120, 170, 515, 755 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 170, 515, 755 is 5.

1. What is the GCD of 120, 170, 515, 755?

GCD of given numbers 120, 170, 515, 755 is 5

2. How to calculate the greatest common divisor of 120, 170, 515, 755?

We can find the highest common divisor of 120, 170, 515, 755 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 120, 170, 515, 755 i.e 5.

3. How can I use the GCD of 120, 170, 515, 755Calculator?

Out the numbers 120, 170, 515, 755 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.