Highest Common Factor of 9656, 3433 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 9656, 3433 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9656, 3433 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 9656, 3433 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 9656, 3433 is 1.
HCF(9656, 3433) = 1
HCF of 9656, 3433 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9656, 3433 is 1.
Highest Common Factor of 9656,3433 is 1
Step 1: Since 9656 > 3433, we apply the division lemma to 9656 and 3433, to get
9656 = 3433 x 2 + 2790
Step 2: Since the reminder 3433 ≠ 0, we apply division lemma to 2790 and 3433, to get
3433 = 2790 x 1 + 643
Step 3: We consider the new divisor 2790 and the new remainder 643, and apply the division lemma to get
2790 = 643 x 4 + 218
We consider the new divisor 643 and the new remainder 218,and apply the division lemma to get
643 = 218 x 2 + 207
We consider the new divisor 218 and the new remainder 207,and apply the division lemma to get
218 = 207 x 1 + 11
We consider the new divisor 207 and the new remainder 11,and apply the division lemma to get
207 = 11 x 18 + 9
We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get
11 = 9 x 1 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 9656 and 3433 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(207,11) = HCF(218,207) = HCF(643,218) = HCF(2790,643) = HCF(3433,2790) = HCF(9656,3433) .
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Frequently Asked Questions on HCF of 9656, 3433 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 9656, 3433?
Answer: HCF of 9656, 3433 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9656, 3433 using Euclid's Algorithm?
Answer: For arbitrary numbers 9656, 3433 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.