Highest Common Factor of 447, 24372 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 447, 24372 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 447, 24372 is 3 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 447, 24372 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 447, 24372 is 3.
HCF(447, 24372) = 3
HCF of 447, 24372 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 447, 24372 is 3.
Highest Common Factor of 447,24372 is 3
Step 1: Since 24372 > 447, we apply the division lemma to 24372 and 447, to get
24372 = 447 x 54 + 234
Step 2: Since the reminder 447 ≠ 0, we apply division lemma to 234 and 447, to get
447 = 234 x 1 + 213
Step 3: We consider the new divisor 234 and the new remainder 213, and apply the division lemma to get
234 = 213 x 1 + 21
We consider the new divisor 213 and the new remainder 21,and apply the division lemma to get
213 = 21 x 10 + 3
We consider the new divisor 21 and the new remainder 3,and apply the division lemma to get
21 = 3 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 447 and 24372 is 3
Notice that 3 = HCF(21,3) = HCF(213,21) = HCF(234,213) = HCF(447,234) = HCF(24372,447) .
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Frequently Asked Questions on HCF of 447, 24372 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 447, 24372?
Answer: HCF of 447, 24372 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 447, 24372 using Euclid's Algorithm?
Answer: For arbitrary numbers 447, 24372 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.