GCD of 760, 120, 210, 105 Calculator

Given Input numbers are 760, 120, 210, 105

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

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

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 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

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 (760, 120, 210, 105) = 5.

Given numbers are 760, 120, 210, 105

The list of prime factors of all numbers are

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

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

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 105 are 3 x 5 x 7

The highest common occurrence is 5¹

Therefore, GCD of 760, 120, 210, 105 is 5.

Given numbers are 760, 120, 210, 105

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

Apply this formula for all numbers.

Step1:

LCM(760, 120) = 2280

GCD(760, 120) = ( 760 x 120 ) / 2280

= 760 / 120

= 760

Step2:

LCM(40, 210) = 840

GCD(40, 210) = ( 40 x 210 ) / 840

= 40 / 210

= 40

Step3:

LCM(10, 105) = 210

GCD(10, 105) = ( 10 x 105 ) / 210

= 10 / 105

= 10

So, Greatest Common Divisor of 760, 120, 210, 105 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 612, 622, 808, 285
• GCD of 400, 316, 646, 974
• GCD of 293, 174, 660, 608
• GCD of 153, 224, 435, 926
• GCD of 927, 426, 481, 134

Given numbers are 760, 120, 210, 105
The greatest common divisor of numbers 760, 120, 210, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 120, 210, 105 is 5.

1. What is the GCD of 760, 120, 210, 105?

GCD of given numbers 760, 120, 210, 105 is 5

2. How to calculate the greatest common divisor of 760, 120, 210, 105?

We can find the highest common divisor of 760, 120, 210, 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 760, 120, 210, 105 i.e 5.

3. How can I use the GCD of 760, 120, 210, 105Calculator?

Out the numbers 760, 120, 210, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.