Highest Common Factor of 9129, 3395, 32708 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 9129, 3395, 32708 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9129, 3395, 32708 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 9129, 3395, 32708 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 9129, 3395, 32708 is 1.
HCF(9129, 3395, 32708) = 1
HCF of 9129, 3395, 32708 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9129, 3395, 32708 is 1.
Highest Common Factor of 9129,3395,32708 is 1
Step 1: Since 9129 > 3395, we apply the division lemma to 9129 and 3395, to get
9129 = 3395 x 2 + 2339
Step 2: Since the reminder 3395 ≠ 0, we apply division lemma to 2339 and 3395, to get
3395 = 2339 x 1 + 1056
Step 3: We consider the new divisor 2339 and the new remainder 1056, and apply the division lemma to get
2339 = 1056 x 2 + 227
We consider the new divisor 1056 and the new remainder 227,and apply the division lemma to get
1056 = 227 x 4 + 148
We consider the new divisor 227 and the new remainder 148,and apply the division lemma to get
227 = 148 x 1 + 79
We consider the new divisor 148 and the new remainder 79,and apply the division lemma to get
148 = 79 x 1 + 69
We consider the new divisor 79 and the new remainder 69,and apply the division lemma to get
79 = 69 x 1 + 10
We consider the new divisor 69 and the new remainder 10,and apply the division lemma to get
69 = 10 x 6 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9129 and 3395 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(69,10) = HCF(79,69) = HCF(148,79) = HCF(227,148) = HCF(1056,227) = HCF(2339,1056) = HCF(3395,2339) = HCF(9129,3395) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 32708 > 1, we apply the division lemma to 32708 and 1, to get
32708 = 1 x 32708 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 32708 is 1
Notice that 1 = HCF(32708,1) .
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Frequently Asked Questions on HCF of 9129, 3395, 32708 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 9129, 3395, 32708?
Answer: HCF of 9129, 3395, 32708 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9129, 3395, 32708 using Euclid's Algorithm?
Answer: For arbitrary numbers 9129, 3395, 32708 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
