Highest Common Factor of 5339, 9606 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 5339, 9606 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5339, 9606 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 5339, 9606 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 5339, 9606 is 1.
HCF(5339, 9606) = 1
HCF of 5339, 9606 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5339, 9606 is 1.
Highest Common Factor of 5339,9606 is 1
Step 1: Since 9606 > 5339, we apply the division lemma to 9606 and 5339, to get
9606 = 5339 x 1 + 4267
Step 2: Since the reminder 5339 ≠ 0, we apply division lemma to 4267 and 5339, to get
5339 = 4267 x 1 + 1072
Step 3: We consider the new divisor 4267 and the new remainder 1072, and apply the division lemma to get
4267 = 1072 x 3 + 1051
We consider the new divisor 1072 and the new remainder 1051,and apply the division lemma to get
1072 = 1051 x 1 + 21
We consider the new divisor 1051 and the new remainder 21,and apply the division lemma to get
1051 = 21 x 50 + 1
We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get
21 = 1 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5339 and 9606 is 1
Notice that 1 = HCF(21,1) = HCF(1051,21) = HCF(1072,1051) = HCF(4267,1072) = HCF(5339,4267) = HCF(9606,5339) .
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Frequently Asked Questions on HCF of 5339, 9606 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 5339, 9606?
Answer: HCF of 5339, 9606 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5339, 9606 using Euclid's Algorithm?
Answer: For arbitrary numbers 5339, 9606 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.