Highest Common Factor of 8333, 9151 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 8333, 9151 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8333, 9151 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 8333, 9151 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 8333, 9151 is 1.
HCF(8333, 9151) = 1
HCF of 8333, 9151 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8333, 9151 is 1.
Highest Common Factor of 8333,9151 is 1
Step 1: Since 9151 > 8333, we apply the division lemma to 9151 and 8333, to get
9151 = 8333 x 1 + 818
Step 2: Since the reminder 8333 ≠ 0, we apply division lemma to 818 and 8333, to get
8333 = 818 x 10 + 153
Step 3: We consider the new divisor 818 and the new remainder 153, and apply the division lemma to get
818 = 153 x 5 + 53
We consider the new divisor 153 and the new remainder 53,and apply the division lemma to get
153 = 53 x 2 + 47
We consider the new divisor 53 and the new remainder 47,and apply the division lemma to get
53 = 47 x 1 + 6
We consider the new divisor 47 and the new remainder 6,and apply the division lemma to get
47 = 6 x 7 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8333 and 9151 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(47,6) = HCF(53,47) = HCF(153,53) = HCF(818,153) = HCF(8333,818) = HCF(9151,8333) .
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Frequently Asked Questions on HCF of 8333, 9151 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 8333, 9151?
Answer: HCF of 8333, 9151 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8333, 9151 using Euclid's Algorithm?
Answer: For arbitrary numbers 8333, 9151 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.