GCD of 748, 871, 887, 142 Calculator

Given Input numbers are 748, 871, 887, 142

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 871 :

The positive integer divisors of 871 that completely divides 871 are.

1, 13, 67, 871

Divisors of 887 :

The positive integer divisors of 887 that completely divides 887 are.

1, 887

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 (748, 871, 887, 142) = 1.

Given numbers are 748, 871, 887, 142

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 871 are 13 x 67

Prime factors of 887 are 887

Prime factors of 142 are 2 x 71

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 748, 871, 887, 142

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

Apply this formula for all numbers.

Step1:

LCM(748, 871) = 651508

GCD(748, 871) = ( 748 x 871 ) / 651508

= 748 / 871

= 748

Step2:

LCM(1, 887) = 887

GCD(1, 887) = ( 1 x 887 ) / 887

= 1 / 887

= 1

Step3:

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

= 1 / 142

= 1

So, Greatest Common Divisor of 748, 871, 887, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 510, 591, 695, 873
• GCD of 981, 469, 558, 969
• GCD of 749, 981, 270, 819
• GCD of 999, 741, 391, 864
• GCD of 870, 620, 502, 887

Given numbers are 748, 871, 887, 142
The greatest common divisor of numbers 748, 871, 887, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 871, 887, 142 is 1.

1. What is the GCD of 748, 871, 887, 142?

GCD of given numbers 748, 871, 887, 142 is 1

2. How to calculate the greatest common divisor of 748, 871, 887, 142?

We can find the highest common divisor of 748, 871, 887, 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 748, 871, 887, 142 i.e 1.

3. How can I use the GCD of 748, 871, 887, 142Calculator?

Out the numbers 748, 871, 887, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.