Highest Common Factor of 483, 72367 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 483, 72367 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 483, 72367 is 1 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 483, 72367 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 483, 72367 is 1.
HCF(483, 72367) = 1
HCF of 483, 72367 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 483, 72367 is 1.
Highest Common Factor of 483,72367 is 1
Step 1: Since 72367 > 483, we apply the division lemma to 72367 and 483, to get
72367 = 483 x 149 + 400
Step 2: Since the reminder 483 ≠ 0, we apply division lemma to 400 and 483, to get
483 = 400 x 1 + 83
Step 3: We consider the new divisor 400 and the new remainder 83, and apply the division lemma to get
400 = 83 x 4 + 68
We consider the new divisor 83 and the new remainder 68,and apply the division lemma to get
83 = 68 x 1 + 15
We consider the new divisor 68 and the new remainder 15,and apply the division lemma to get
68 = 15 x 4 + 8
We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get
15 = 8 x 1 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 483 and 72367 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(68,15) = HCF(83,68) = HCF(400,83) = HCF(483,400) = HCF(72367,483) .
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Frequently Asked Questions on HCF of 483, 72367 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 483, 72367?
Answer: HCF of 483, 72367 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 483, 72367 using Euclid's Algorithm?
Answer: For arbitrary numbers 483, 72367 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.