GCD of 752, 716, 654, 771 Calculator

Given Input numbers are 752, 716, 654, 771

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

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

GCD of numbers is the greatest common divisor

So, the GCD (752, 716, 654, 771) = 1.

Given numbers are 752, 716, 654, 771

The list of prime factors of all numbers are

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 716 are 2 x 2 x 179

Prime factors of 654 are 2 x 3 x 109

Prime factors of 771 are 3 x 257

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

Given numbers are 752, 716, 654, 771

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

Apply this formula for all numbers.

Step1:

LCM(752, 716) = 134608

GCD(752, 716) = ( 752 x 716 ) / 134608

= 752 / 716

= 752

Step2:

LCM(4, 654) = 1308

GCD(4, 654) = ( 4 x 654 ) / 1308

= 4 / 654

= 4

Step3:

LCM(2, 771) = 1542

GCD(2, 771) = ( 2 x 771 ) / 1542

= 2 / 771

= 2

So, Greatest Common Divisor of 752, 716, 654, 771 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 106, 579, 387, 602
• GCD of 730, 599, 581, 651
• GCD of 160, 658, 667, 428
• GCD of 950, 667, 336, 623
• GCD of 679, 185, 756, 209

Given numbers are 752, 716, 654, 771
The greatest common divisor of numbers 752, 716, 654, 771 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 716, 654, 771 is 1.

1. What is the GCD of 752, 716, 654, 771?

GCD of given numbers 752, 716, 654, 771 is 1

2. How to calculate the greatest common divisor of 752, 716, 654, 771?

We can find the highest common divisor of 752, 716, 654, 771 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 752, 716, 654, 771 i.e 1.

3. How can I use the GCD of 752, 716, 654, 771Calculator?

Out the numbers 752, 716, 654, 771 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.