Highest Common Factor of 9091, 8343 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 9091, 8343 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9091, 8343 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 9091, 8343 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 9091, 8343 is 1.
HCF(9091, 8343) = 1
HCF of 9091, 8343 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9091, 8343 is 1.
Highest Common Factor of 9091,8343 is 1
Step 1: Since 9091 > 8343, we apply the division lemma to 9091 and 8343, to get
9091 = 8343 x 1 + 748
Step 2: Since the reminder 8343 ≠ 0, we apply division lemma to 748 and 8343, to get
8343 = 748 x 11 + 115
Step 3: We consider the new divisor 748 and the new remainder 115, and apply the division lemma to get
748 = 115 x 6 + 58
We consider the new divisor 115 and the new remainder 58,and apply the division lemma to get
115 = 58 x 1 + 57
We consider the new divisor 58 and the new remainder 57,and apply the division lemma to get
58 = 57 x 1 + 1
We consider the new divisor 57 and the new remainder 1,and apply the division lemma to get
57 = 1 x 57 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9091 and 8343 is 1
Notice that 1 = HCF(57,1) = HCF(58,57) = HCF(115,58) = HCF(748,115) = HCF(8343,748) = HCF(9091,8343) .
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Frequently Asked Questions on HCF of 9091, 8343 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 9091, 8343?
Answer: HCF of 9091, 8343 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9091, 8343 using Euclid's Algorithm?
Answer: For arbitrary numbers 9091, 8343 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.