GCD of 780, 945, 525, 702 Calculator

Given Input numbers are 780, 945, 525, 702

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

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 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

GCD of numbers is the greatest common divisor

So, the GCD (780, 945, 525, 702) = 3.

Given numbers are 780, 945, 525, 702

The list of prime factors of all numbers are

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 525 are 3 x 5 x 5 x 7

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 780, 945, 525, 702 is 3.

Given numbers are 780, 945, 525, 702

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

Apply this formula for all numbers.

Step1:

LCM(780, 945) = 49140

GCD(780, 945) = ( 780 x 945 ) / 49140

= 780 / 945

= 780

Step2:

LCM(15, 525) = 525

GCD(15, 525) = ( 15 x 525 ) / 525

= 15 / 525

= 15

Step3:

LCM(15, 702) = 3510

GCD(15, 702) = ( 15 x 702 ) / 3510

= 15 / 702

= 15

So, Greatest Common Divisor of 780, 945, 525, 702 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 153, 296, 183, 985
• GCD of 256, 901, 724, 132
• GCD of 126, 441, 564, 586
• GCD of 444, 555, 716, 689
• GCD of 717, 284, 756, 841

Given numbers are 780, 945, 525, 702
The greatest common divisor of numbers 780, 945, 525, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 945, 525, 702 is 3.

1. What is the GCD of 780, 945, 525, 702?

GCD of given numbers 780, 945, 525, 702 is 3

2. How to calculate the greatest common divisor of 780, 945, 525, 702?

We can find the highest common divisor of 780, 945, 525, 702 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 780, 945, 525, 702 i.e 3.

3. How can I use the GCD of 780, 945, 525, 702Calculator?

Out the numbers 780, 945, 525, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.