Highest Common Factor of 8158, 9615 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 8158, 9615 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8158, 9615 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 8158, 9615 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 8158, 9615 is 1.
HCF(8158, 9615) = 1
HCF of 8158, 9615 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8158, 9615 is 1.
Highest Common Factor of 8158,9615 is 1
Step 1: Since 9615 > 8158, we apply the division lemma to 9615 and 8158, to get
9615 = 8158 x 1 + 1457
Step 2: Since the reminder 8158 ≠ 0, we apply division lemma to 1457 and 8158, to get
8158 = 1457 x 5 + 873
Step 3: We consider the new divisor 1457 and the new remainder 873, and apply the division lemma to get
1457 = 873 x 1 + 584
We consider the new divisor 873 and the new remainder 584,and apply the division lemma to get
873 = 584 x 1 + 289
We consider the new divisor 584 and the new remainder 289,and apply the division lemma to get
584 = 289 x 2 + 6
We consider the new divisor 289 and the new remainder 6,and apply the division lemma to get
289 = 6 x 48 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8158 and 9615 is 1
Notice that 1 = HCF(6,1) = HCF(289,6) = HCF(584,289) = HCF(873,584) = HCF(1457,873) = HCF(8158,1457) = HCF(9615,8158) .
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Frequently Asked Questions on HCF of 8158, 9615 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 8158, 9615?
Answer: HCF of 8158, 9615 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8158, 9615 using Euclid's Algorithm?
Answer: For arbitrary numbers 8158, 9615 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.