GCD of 758, 688, 653, 980 Calculator

Given Input numbers are 758, 688, 653, 980

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

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

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 653 :

The positive integer divisors of 653 that completely divides 653 are.

1, 653

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

GCD of numbers is the greatest common divisor

So, the GCD (758, 688, 653, 980) = 1.

Given numbers are 758, 688, 653, 980

The list of prime factors of all numbers are

Prime factors of 758 are 2 x 379

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

Prime factors of 653 are 653

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

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

Given numbers are 758, 688, 653, 980

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

Apply this formula for all numbers.

Step1:

LCM(758, 688) = 260752

GCD(758, 688) = ( 758 x 688 ) / 260752

= 758 / 688

= 758

Step2:

LCM(2, 653) = 1306

GCD(2, 653) = ( 2 x 653 ) / 1306

= 2 / 653

= 2

Step3:

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

= 1 / 980

= 1

So, Greatest Common Divisor of 758, 688, 653, 980 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 219, 318, 392, 910
• GCD of 129, 978, 715, 877
• GCD of 445, 294, 881, 453
• GCD of 465, 851, 807, 332
• GCD of 809, 445, 747, 631

Given numbers are 758, 688, 653, 980
The greatest common divisor of numbers 758, 688, 653, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 758, 688, 653, 980 is 1.

1. What is the GCD of 758, 688, 653, 980?

GCD of given numbers 758, 688, 653, 980 is 1

2. How to calculate the greatest common divisor of 758, 688, 653, 980?

We can find the highest common divisor of 758, 688, 653, 980 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 758, 688, 653, 980 i.e 1.

3. How can I use the GCD of 758, 688, 653, 980Calculator?

Out the numbers 758, 688, 653, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.