GCD of 770, 590, 240, 135 Calculator

Given Input numbers are 770, 590, 240, 135

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

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

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 (770, 590, 240, 135) = 5.

Given numbers are 770, 590, 240, 135

The list of prime factors of all numbers are

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 590 are 2 x 5 x 59

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

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

The highest common occurrence is 5¹

Therefore, GCD of 770, 590, 240, 135 is 5.

Given numbers are 770, 590, 240, 135

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

Apply this formula for all numbers.

Step1:

LCM(770, 590) = 45430

GCD(770, 590) = ( 770 x 590 ) / 45430

= 770 / 590

= 770

Step2:

LCM(10, 240) = 240

GCD(10, 240) = ( 10 x 240 ) / 240

= 10 / 240

= 10

Step3:

LCM(10, 135) = 270

GCD(10, 135) = ( 10 x 135 ) / 270

= 10 / 135

= 10

So, Greatest Common Divisor of 770, 590, 240, 135 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 849, 636, 242, 312
• GCD of 391, 799, 233, 198
• GCD of 868, 724, 687, 573
• GCD of 367, 962, 659, 902
• GCD of 825, 341, 971, 993

Given numbers are 770, 590, 240, 135
The greatest common divisor of numbers 770, 590, 240, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 770, 590, 240, 135 is 5.

1. What is the GCD of 770, 590, 240, 135?

GCD of given numbers 770, 590, 240, 135 is 5

2. How to calculate the greatest common divisor of 770, 590, 240, 135?

We can find the highest common divisor of 770, 590, 240, 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 770, 590, 240, 135 i.e 5.

3. How can I use the GCD of 770, 590, 240, 135Calculator?

Out the numbers 770, 590, 240, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.