GCD of 780, 490, 375, 135 Calculator

Given Input numbers are 780, 490, 375, 135

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

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

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 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

GCD of numbers is the greatest common divisor

So, the GCD (780, 490, 375, 135) = 5.

Given numbers are 780, 490, 375, 135

The list of prime factors of all numbers are

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

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

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 135 are 3 x 3 x 3 x 5

The highest common occurrence is 5¹

Therefore, GCD of 780, 490, 375, 135 is 5.

Given numbers are 780, 490, 375, 135

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

Apply this formula for all numbers.

Step1:

LCM(780, 490) = 38220

GCD(780, 490) = ( 780 x 490 ) / 38220

= 780 / 490

= 780

Step2:

LCM(10, 375) = 750

GCD(10, 375) = ( 10 x 375 ) / 750

= 10 / 375

= 10

Step3:

LCM(5, 135) = 135

GCD(5, 135) = ( 5 x 135 ) / 135

= 5 / 135

= 5

So, Greatest Common Divisor of 780, 490, 375, 135 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 643, 499, 740, 936
• GCD of 893, 837, 614, 242
• GCD of 730, 637, 639, 600
• GCD of 202, 683, 789, 517
• GCD of 629, 925, 835, 558

Given numbers are 780, 490, 375, 135
The greatest common divisor of numbers 780, 490, 375, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 490, 375, 135 is 5.

1. What is the GCD of 780, 490, 375, 135?

GCD of given numbers 780, 490, 375, 135 is 5

2. How to calculate the greatest common divisor of 780, 490, 375, 135?

We can find the highest common divisor of 780, 490, 375, 135 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 780, 490, 375, 135 i.e 5.

3. How can I use the GCD of 780, 490, 375, 135Calculator?

Out the numbers 780, 490, 375, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.