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How do you prove that if the greatest common factor of A and B equals 1 and C does not equal 0 then the greatest common factor of AC and BC divides C?
If the greatest common factor/divisor of A and B is 1 then they are coprime - they do not share any prime factors. Multiplying both through by C means, obviously, that each number now divides by C. In fact, C is their greatest common divisor, since AC and BC do not have further common factors after C is taken out. Hence the GCF of AC and BC is not merely a factor of C - it is C. (The question makes sense only if A, B and C are integers.)
What else can I help you with?
What is the greatest common factor of 132 and 216?
The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers.The greatest common factor of 44 and 132 is 44. 44 divided by 44 equals 1, while 132 divided by 44 equals 3.
What is the greatest common factor of 12 25-?
The greatest common factor of the numbers 12 and 25 is one.
What is the greatest common factor of 126 and 324?
The least common factor is a term often mistakenly given to either the greatest common factor (GCF) or the least common multiple (LCM). This term is not often used because it does not describe a useful relationship between numbers. Since 1 evenly divides all integers, 1 is technically the least common factor for any set of integers.The smallest non-one common factor of 192 and 1296 is 2.
What is the greatest common factor for 19 and 76?
19 is the greatest common factor. 19/19=1, 76/19=4.
What is the greatest common factor of 35 and 100?
The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers.The greatest common factor of 35 and 100 is 5
Greatest common factor of 14 and 15?
The greatest (or highest) common factor is the highest number that divides exactly into two or more numbers. The greatest common factor of 14 and 15 is 1
What is the greatest common factor of 132 and 216?
The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers.The greatest common factor of 44 and 132 is 44. 44 divided by 44 equals 1, while 132 divided by 44 equals 3.
What is the greatest common factor of 2 8 16 and 40?
2 is the greatest common factor because it is the largest factor that divides each number without a remainder.
What is greatest common factor in math?
The greatest common factor, or GCF, is the largest integer that divides evenly into two or more given numbers with no remainder.
Math Greatest Common Factor?
The greatest common factor, or GCF, is the largest integer that divides evenly into two or more given numbers with no remainder.
What is the greatest common factor 7 21 42 126 252 and 756?
7 is the greatest common factor; it divides evenly into all of the numbers.
What is the brief definition of a greatest common factor?
The greatest common factor, or GCF, is the largest number that divides evenly with no remainder into a set of given numbers.
What is the greatest no which divides two or more no without a remainder?
The greatest common factor (GCF) or highest common factor (HCF) of the two (or more) numbers.
What is the greatest integer that divides two integers?
The Greatest (or Highest) Common Factor - GCF or HCF.
The largest whole number that divides evenly into two or more given numbers?
The greatest common factor is a number that divides evenly into two or more numbers. It is also called the highest common factor or greatest common divisor.
What is the greatest common factor of 60 24 30?
Te greatest number that divides 60, 24, and 30 evenly is 6, so that 6 is their greatest common factor.
What is the greatest common factor of 4xy and -6xy?
The greatest common factor of 4xy and -6xy is 2xy. To find the greatest common factor, we first factor out the numbers 4 and -6 to get 2(2xy) and -2(3xy). The greatest common factor is the highest common factor that divides both terms evenly, which in this case is 2xy.
