Highest Common Factor of 8871, 9305 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 8871, 9305 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8871, 9305 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 8871, 9305 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 8871, 9305 is 1.
HCF(8871, 9305) = 1
HCF of 8871, 9305 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8871, 9305 is 1.
Highest Common Factor of 8871,9305 is 1
Step 1: Since 9305 > 8871, we apply the division lemma to 9305 and 8871, to get
9305 = 8871 x 1 + 434
Step 2: Since the reminder 8871 ≠ 0, we apply division lemma to 434 and 8871, to get
8871 = 434 x 20 + 191
Step 3: We consider the new divisor 434 and the new remainder 191, and apply the division lemma to get
434 = 191 x 2 + 52
We consider the new divisor 191 and the new remainder 52,and apply the division lemma to get
191 = 52 x 3 + 35
We consider the new divisor 52 and the new remainder 35,and apply the division lemma to get
52 = 35 x 1 + 17
We consider the new divisor 35 and the new remainder 17,and apply the division lemma to get
35 = 17 x 2 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8871 and 9305 is 1
Notice that 1 = HCF(17,1) = HCF(35,17) = HCF(52,35) = HCF(191,52) = HCF(434,191) = HCF(8871,434) = HCF(9305,8871) .
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Frequently Asked Questions on HCF of 8871, 9305 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 8871, 9305?
Answer: HCF of 8871, 9305 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8871, 9305 using Euclid's Algorithm?
Answer: For arbitrary numbers 8871, 9305 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.