GCD of 752, 716, 780, 991 Calculator

Given Input numbers are 752, 716, 780, 991

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 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 991 :

The positive integer divisors of 991 that completely divides 991 are.

1, 991

GCD of numbers is the greatest common divisor

So, the GCD (752, 716, 780, 991) = 1.

Given numbers are 752, 716, 780, 991

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 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 991 are 991

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

Given numbers are 752, 716, 780, 991

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, 780) = 780

GCD(4, 780) = ( 4 x 780 ) / 780

= 4 / 780

= 4

Step3:

LCM(4, 991) = 3964

GCD(4, 991) = ( 4 x 991 ) / 3964

= 4 / 991

= 4

So, Greatest Common Divisor of 752, 716, 780, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 916, 539, 251, 189
• GCD of 715, 639, 323, 227
• GCD of 719, 746, 654, 474
• GCD of 662, 198, 805, 562
• GCD of 736, 378, 703, 644

Given numbers are 752, 716, 780, 991
The greatest common divisor of numbers 752, 716, 780, 991 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 716, 780, 991 is 1.

1. What is the GCD of 752, 716, 780, 991?

GCD of given numbers 752, 716, 780, 991 is 1

2. How to calculate the greatest common divisor of 752, 716, 780, 991?

We can find the highest common divisor of 752, 716, 780, 991 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, 780, 991 i.e 1.

3. How can I use the GCD of 752, 716, 780, 991Calculator?

Out the numbers 752, 716, 780, 991 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.