Highest Common Factor of 9339, 9704 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 9339, 9704 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9339, 9704 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 9339, 9704 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 9339, 9704 is 1.
HCF(9339, 9704) = 1
HCF of 9339, 9704 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9339, 9704 is 1.
Highest Common Factor of 9339,9704 is 1
Step 1: Since 9704 > 9339, we apply the division lemma to 9704 and 9339, to get
9704 = 9339 x 1 + 365
Step 2: Since the reminder 9339 ≠ 0, we apply division lemma to 365 and 9339, to get
9339 = 365 x 25 + 214
Step 3: We consider the new divisor 365 and the new remainder 214, and apply the division lemma to get
365 = 214 x 1 + 151
We consider the new divisor 214 and the new remainder 151,and apply the division lemma to get
214 = 151 x 1 + 63
We consider the new divisor 151 and the new remainder 63,and apply the division lemma to get
151 = 63 x 2 + 25
We consider the new divisor 63 and the new remainder 25,and apply the division lemma to get
63 = 25 x 2 + 13
We consider the new divisor 25 and the new remainder 13,and apply the division lemma to get
25 = 13 x 1 + 12
We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get
13 = 12 x 1 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9339 and 9704 is 1
Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(25,13) = HCF(63,25) = HCF(151,63) = HCF(214,151) = HCF(365,214) = HCF(9339,365) = HCF(9704,9339) .
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Frequently Asked Questions on HCF of 9339, 9704 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 9339, 9704?
Answer: HCF of 9339, 9704 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9339, 9704 using Euclid's Algorithm?
Answer: For arbitrary numbers 9339, 9704 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
