Highest Common Factor of 5382, 9436 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 5382, 9436 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5382, 9436 is 2 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 5382, 9436 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 5382, 9436 is 2.
HCF(5382, 9436) = 2
HCF of 5382, 9436 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5382, 9436 is 2.
Highest Common Factor of 5382,9436 is 2
Step 1: Since 9436 > 5382, we apply the division lemma to 9436 and 5382, to get
9436 = 5382 x 1 + 4054
Step 2: Since the reminder 5382 ≠ 0, we apply division lemma to 4054 and 5382, to get
5382 = 4054 x 1 + 1328
Step 3: We consider the new divisor 4054 and the new remainder 1328, and apply the division lemma to get
4054 = 1328 x 3 + 70
We consider the new divisor 1328 and the new remainder 70,and apply the division lemma to get
1328 = 70 x 18 + 68
We consider the new divisor 70 and the new remainder 68,and apply the division lemma to get
70 = 68 x 1 + 2
We consider the new divisor 68 and the new remainder 2,and apply the division lemma to get
68 = 2 x 34 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5382 and 9436 is 2
Notice that 2 = HCF(68,2) = HCF(70,68) = HCF(1328,70) = HCF(4054,1328) = HCF(5382,4054) = HCF(9436,5382) .
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Frequently Asked Questions on HCF of 5382, 9436 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 5382, 9436?
Answer: HCF of 5382, 9436 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5382, 9436 using Euclid's Algorithm?
Answer: For arbitrary numbers 5382, 9436 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.