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Example: 30 and 42
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Select the common factors.
2 x 3 = 6, the GCF
Combine the factors, eliminating duplicates.
2 x 3 x 5 x 7 = 210, the LCM
Check it.
30 x 42 = 1260
210 x 6 = 1260
It checks.
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HCF of 70 by prime factorization method?
As a product of its prime factors: 2*5*7 = 70 Note that at least two or more numbers are needed to find their HCF
Where do you use prime factorization in real life?
In finding the LCM or HCF of two or more numbers
What is the easiest way to find the greatest common factor of 3 numbers?
do the prime factorization of the 3 numbers. list the prime factors of all the 3 numbers. circle the factors that are common to the 3. multiply them. that number is the HCF
What is the HCF of two prime numbers?
1
I need to know which pair of numbers in relatively prime 10 and 21 or 12 and 54 or 15 and 27 or 21 and 38?
hcf(10, 21) = 1 ⇒ 10 & 21 relatively prime hcf(12, 54) = 6 ⇒ 12 & 54 not relatively prime hcf(15, 27) = 3 ⇒ 15 & 27 not relatively prime hcf(21, 38) = 1 ⇒ 21 & 38 relatively prime
HCF of 70 by prime factorization method?
As a product of its prime factors: 2*5*7 = 70 Note that at least two or more numbers are needed to find their HCF
Where do you use prime factorization in real life?
In finding the LCM or HCF of two or more numbers
What is the HCF of 4 and 28?
This is the way to do it.. Factorize 4,28 using prime numbers only (Prime factorization) till you get 1,1. The prime numbers used are 2,2 & 7 Therefore HCF(4,28)= 2*2*7 = 28.
What is the prime factorization of HCF?
Prime factorization is one of the ways you find the HCF.
Find the HCF and the LCM 2 to the power of 2 multiply by 3 to the power of 3?
22 x 33 is the prime factorization of 108. If you have another prime factorization, we can find a GCF and an LCM between the two.
What is the HCF of 12 18 and 24?
The GCF is 6.
What is the HCF of 189 as a prime?
The prime factorization of 189 is 3 x 3 x 3 x 7. You need at least two numbers to find a GCF.
What are the prime factor of HCF?
Each HCF has its own set of prime factors.
What is the HCF of 36 and 48 the prime factorization maethod?
To find the HCF of two numbers you first need to break them down into their prime factors. In this case we get: 36 = 2x2x3x3 48 = 2x2x2x2x3 The next step is to identify any common prime factors. In this case, both numbers have two 2s and a 3 as prime factors. Multiply these together and you get 12. Therefore, the HCF of 36 and 48 is 12.
What is the HCF of 18 54 and 81?
hcf(18, 54, 81) = 9. Using prime factorization: 18 = 2 x 3^2 54 = 2 x 3^3 81 = 3^4 hcf = 3^2 = 9
How can we Find HCF of 144 and 36 by prime factorization method?
Prime factors of 36 are: 2^2 and 3^2 Prime factors of 144 are: 2^4 and 3^2 Prime factors common to both number are 2^2 and 3^2 which when multiplied equals 36 making it the HCF
Find the HCF for these sets of numbers 30, 210 and 700?
To find the highest common factor (HCF) of 30, 210, and 700, you can use the prime factorization method. Prime Factorization: Prime factorize each number: 30 = 2 * 3 * 5 210 = 2 * 3 * 5 * 7 700 = 2^2 * 5^2 * 7 Identify Common Prime Factors: Identify the common prime factors among the numbers: 2, 3, 5, and 7. Multiply Common Prime Factors: Multiply the common prime factors: 2 * 3 * 5 * 7 = 210 Therefore, the HCF of 30, 210, and 700 is 210.
