What is the greatest number that will divide 6844 and 6123?
Answers
The greatest number that will divide 6844 and 6123 is 1.
Step-by-step explanation:
When we talk about highest common factor or HCF between two or more numbers, we generally work with the factors of all the given numbers. The highest common factor or the HCF of the given numbers would be the number which is greatest among all the factors of the numbers. Hence, to calculate the highest common factor or the hcf of multiple given numbers, we need to find all the factors of the given numbers and select the greatest number out of them.
Now, here, according to the given information, we need to find the greatest number that will divide 6844 and 6123. This means that, we need to find the highest common factor or the hcf of these two given numbers that is 6844 and 6123.
Now, let us find the hcf of these two numbers by division method.
6123) 6844 ( 1
-6123
--------------------
721 ) 6123 ( 8
-5768
-------------------
355 ) 721 ( 2
-710
------------
11 ) 355 ( 32
-352
------------
3 ) 11 ( 3
- 9
-------------
2 ) 3 ( 1
-2
-----------
1 ) 2 ( 2
-2
----------
0
-----------
Since, we have got the remainder as 0, the highest common factor is 1 here.
Thus, the greatest number that will divide 6844 and 6123 is 1.
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