Highest Common Factor of 772, 43073 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 772, 43073 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 772, 43073 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 772, 43073 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 772, 43073 is 1.
HCF(772, 43073) = 1
HCF of 772, 43073 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 772, 43073 is 1.
Highest Common Factor of 772,43073 is 1
Step 1: Since 43073 > 772, we apply the division lemma to 43073 and 772, to get
43073 = 772 x 55 + 613
Step 2: Since the reminder 772 ≠ 0, we apply division lemma to 613 and 772, to get
772 = 613 x 1 + 159
Step 3: We consider the new divisor 613 and the new remainder 159, and apply the division lemma to get
613 = 159 x 3 + 136
We consider the new divisor 159 and the new remainder 136,and apply the division lemma to get
159 = 136 x 1 + 23
We consider the new divisor 136 and the new remainder 23,and apply the division lemma to get
136 = 23 x 5 + 21
We consider the new divisor 23 and the new remainder 21,and apply the division lemma to get
23 = 21 x 1 + 2
We consider the new divisor 21 and the new remainder 2,and apply the division lemma to get
21 = 2 x 10 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 772 and 43073 is 1
Notice that 1 = HCF(2,1) = HCF(21,2) = HCF(23,21) = HCF(136,23) = HCF(159,136) = HCF(613,159) = HCF(772,613) = HCF(43073,772) .
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Frequently Asked Questions on HCF of 772, 43073 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 772, 43073?
Answer: HCF of 772, 43073 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 772, 43073 using Euclid's Algorithm?
Answer: For arbitrary numbers 772, 43073 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
