Highest Common Factor of 4106, 9159 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 4106, 9159 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4106, 9159 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 4106, 9159 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 4106, 9159 is 1.
HCF(4106, 9159) = 1
HCF of 4106, 9159 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4106, 9159 is 1.
Highest Common Factor of 4106,9159 is 1
Step 1: Since 9159 > 4106, we apply the division lemma to 9159 and 4106, to get
9159 = 4106 x 2 + 947
Step 2: Since the reminder 4106 ≠ 0, we apply division lemma to 947 and 4106, to get
4106 = 947 x 4 + 318
Step 3: We consider the new divisor 947 and the new remainder 318, and apply the division lemma to get
947 = 318 x 2 + 311
We consider the new divisor 318 and the new remainder 311,and apply the division lemma to get
318 = 311 x 1 + 7
We consider the new divisor 311 and the new remainder 7,and apply the division lemma to get
311 = 7 x 44 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4106 and 9159 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(311,7) = HCF(318,311) = HCF(947,318) = HCF(4106,947) = HCF(9159,4106) .
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Frequently Asked Questions on HCF of 4106, 9159 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 4106, 9159?
Answer: HCF of 4106, 9159 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4106, 9159 using Euclid's Algorithm?
Answer: For arbitrary numbers 4106, 9159 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.