GCD of 861, 688, 767, 742 Calculator

Given Input numbers are 861, 688, 767, 742

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

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 767 :

The positive integer divisors of 767 that completely divides 767 are.

1, 13, 59, 767

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (861, 688, 767, 742) = 1.

Given numbers are 861, 688, 767, 742

The list of prime factors of all numbers are

Prime factors of 861 are 3 x 7 x 41

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 767 are 13 x 59

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 861, 688, 767, 742

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

Apply this formula for all numbers.

Step1:

LCM(861, 688) = 592368

GCD(861, 688) = ( 861 x 688 ) / 592368

= 861 / 688

= 861

Step2:

LCM(1, 767) = 767

GCD(1, 767) = ( 1 x 767 ) / 767

= 1 / 767

= 1

Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

So, Greatest Common Divisor of 861, 688, 767, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 195, 243, 449, 293
• GCD of 925, 123, 300, 305
• GCD of 677, 648, 125, 914
• GCD of 144, 471, 526, 676
• GCD of 430, 463, 944, 873

Given numbers are 861, 688, 767, 742
The greatest common divisor of numbers 861, 688, 767, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 861, 688, 767, 742 is 1.

1. What is the GCD of 861, 688, 767, 742?

GCD of given numbers 861, 688, 767, 742 is 1

2. How to calculate the greatest common divisor of 861, 688, 767, 742?

We can find the highest common divisor of 861, 688, 767, 742 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 861, 688, 767, 742 i.e 1.

3. How can I use the GCD of 861, 688, 767, 742Calculator?

Out the numbers 861, 688, 767, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.