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GCD of 624, 776, 616, 140 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 624, 776, 616, 140 quickly. Get the easiest ways to solve the greatest common divisor of 624, 776, 616, 140 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 624, 776, 616, 140 with Factoring?

Given Input numbers are 624, 776, 616, 140

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

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 776 :

The positive integer divisors of 776 that completely divides 776 are.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140


GCD of numbers is the greatest common divisor

So, the GCD (624, 776, 616, 140) = 4.

Find GCD of 624, 776, 616, 140 using Prime Factorization

Given numbers are 624, 776, 616, 140

The list of prime factors of all numbers are

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 776 are 2 x 2 x 2 x 97

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 140 are 2 x 2 x 5 x 7

The highest common occurrence is 22

Therefore, GCD of 624, 776, 616, 140 is 4.

Steps to Calculate GCD of 624, 776, 616, 140 using LCM Formula

Given numbers are 624, 776, 616, 140

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

Apply this formula for all numbers.

Step1:

LCM(624, 776) = 60528

GCD(624, 776) = ( 624 x 776 ) / 60528

= 624 / 776

= 624


Step2:

LCM(8, 616) = 616

GCD(8, 616) = ( 8 x 616 ) / 616

= 8 / 616

= 8


Step3:

LCM(8, 140) = 280

GCD(8, 140) = ( 8 x 140 ) / 280

= 8 / 140

= 8


So, Greatest Common Divisor of 624, 776, 616, 140 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 624, 776, 616, 140

Given numbers are 624, 776, 616, 140
The greatest common divisor of numbers 624, 776, 616, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 624, 776, 616, 140 is 4.

FAQs on GCD of 624, 776, 616, 140 Calculator

1. What is the GCD of 624, 776, 616, 140?

GCD of given numbers 624, 776, 616, 140 is 4


2. How to calculate the greatest common divisor of 624, 776, 616, 140?

We can find the highest common divisor of 624, 776, 616, 140 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 624, 776, 616, 140 i.e 4.


3. How can I use the GCD of 624, 776, 616, 140Calculator?

Out the numbers 624, 776, 616, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.