Highest Common Factor of 9139, 8406 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 9139, 8406 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9139, 8406 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 9139, 8406 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 9139, 8406 is 1.
HCF(9139, 8406) = 1
HCF of 9139, 8406 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9139, 8406 is 1.
Highest Common Factor of 9139,8406 is 1
Step 1: Since 9139 > 8406, we apply the division lemma to 9139 and 8406, to get
9139 = 8406 x 1 + 733
Step 2: Since the reminder 8406 ≠ 0, we apply division lemma to 733 and 8406, to get
8406 = 733 x 11 + 343
Step 3: We consider the new divisor 733 and the new remainder 343, and apply the division lemma to get
733 = 343 x 2 + 47
We consider the new divisor 343 and the new remainder 47,and apply the division lemma to get
343 = 47 x 7 + 14
We consider the new divisor 47 and the new remainder 14,and apply the division lemma to get
47 = 14 x 3 + 5
We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get
14 = 5 x 2 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9139 and 8406 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(47,14) = HCF(343,47) = HCF(733,343) = HCF(8406,733) = HCF(9139,8406) .
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Frequently Asked Questions on HCF of 9139, 8406 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 9139, 8406?
Answer: HCF of 9139, 8406 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9139, 8406 using Euclid's Algorithm?
Answer: For arbitrary numbers 9139, 8406 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.