GCD of 714, 270, 770, 142 Calculator

Given Input numbers are 714, 270, 770, 142

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

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

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 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (714, 270, 770, 142) = 2.

Given numbers are 714, 270, 770, 142

The list of prime factors of all numbers are

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

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

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 714, 270, 770, 142 is 2.

Given numbers are 714, 270, 770, 142

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

Apply this formula for all numbers.

Step1:

LCM(714, 270) = 32130

GCD(714, 270) = ( 714 x 270 ) / 32130

= 714 / 270

= 714

Step2:

LCM(6, 770) = 2310

GCD(6, 770) = ( 6 x 770 ) / 2310

= 6 / 770

= 6

Step3:

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

= 2 / 142

= 2

So, Greatest Common Divisor of 714, 270, 770, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 669, 563, 556, 202
• GCD of 589, 335, 493, 994
• GCD of 637, 776, 241, 860
• GCD of 303, 122, 172, 795
• GCD of 713, 783, 604, 906

Given numbers are 714, 270, 770, 142
The greatest common divisor of numbers 714, 270, 770, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 270, 770, 142 is 2.

1. What is the GCD of 714, 270, 770, 142?

GCD of given numbers 714, 270, 770, 142 is 2

2. How to calculate the greatest common divisor of 714, 270, 770, 142?

We can find the highest common divisor of 714, 270, 770, 142 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 714, 270, 770, 142 i.e 2.

3. How can I use the GCD of 714, 270, 770, 142Calculator?

Out the numbers 714, 270, 770, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.