Highest Common Factor of 8332, 9301 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 8332, 9301 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8332, 9301 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 8332, 9301 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 8332, 9301 is 1.
HCF(8332, 9301) = 1
HCF of 8332, 9301 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8332, 9301 is 1.
Highest Common Factor of 8332,9301 is 1
Step 1: Since 9301 > 8332, we apply the division lemma to 9301 and 8332, to get
9301 = 8332 x 1 + 969
Step 2: Since the reminder 8332 ≠ 0, we apply division lemma to 969 and 8332, to get
8332 = 969 x 8 + 580
Step 3: We consider the new divisor 969 and the new remainder 580, and apply the division lemma to get
969 = 580 x 1 + 389
We consider the new divisor 580 and the new remainder 389,and apply the division lemma to get
580 = 389 x 1 + 191
We consider the new divisor 389 and the new remainder 191,and apply the division lemma to get
389 = 191 x 2 + 7
We consider the new divisor 191 and the new remainder 7,and apply the division lemma to get
191 = 7 x 27 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8332 and 9301 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(191,7) = HCF(389,191) = HCF(580,389) = HCF(969,580) = HCF(8332,969) = HCF(9301,8332) .
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Frequently Asked Questions on HCF of 8332, 9301 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 8332, 9301?
Answer: HCF of 8332, 9301 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8332, 9301 using Euclid's Algorithm?
Answer: For arbitrary numbers 8332, 9301 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.