Highest Common Factor of 447, 73713 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, 73713 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 447, 73713 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, 73713 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, 73713 is 3.
HCF(447, 73713) = 3
HCF of 447, 73713 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, 73713 is 3.
Highest Common Factor of 447,73713 is 3
Step 1: Since 73713 > 447, we apply the division lemma to 73713 and 447, to get
73713 = 447 x 164 + 405
Step 2: Since the reminder 447 ≠ 0, we apply division lemma to 405 and 447, to get
447 = 405 x 1 + 42
Step 3: We consider the new divisor 405 and the new remainder 42, and apply the division lemma to get
405 = 42 x 9 + 27
We consider the new divisor 42 and the new remainder 27,and apply the division lemma to get
42 = 27 x 1 + 15
We consider the new divisor 27 and the new remainder 15,and apply the division lemma to get
27 = 15 x 1 + 12
We consider the new divisor 15 and the new remainder 12,and apply the division lemma to get
15 = 12 x 1 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 447 and 73713 is 3
Notice that 3 = HCF(12,3) = HCF(15,12) = HCF(27,15) = HCF(42,27) = HCF(405,42) = HCF(447,405) = HCF(73713,447) .
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Frequently Asked Questions on HCF of 447, 73713 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, 73713?
Answer: HCF of 447, 73713 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 447, 73713 using Euclid's Algorithm?
Answer: For arbitrary numbers 447, 73713 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.