Highest Common Factor of 9596, 1405 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 9596, 1405 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9596, 1405 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 9596, 1405 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 9596, 1405 is 1.
HCF(9596, 1405) = 1
HCF of 9596, 1405 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9596, 1405 is 1.
Highest Common Factor of 9596,1405 is 1
Step 1: Since 9596 > 1405, we apply the division lemma to 9596 and 1405, to get
9596 = 1405 x 6 + 1166
Step 2: Since the reminder 1405 ≠ 0, we apply division lemma to 1166 and 1405, to get
1405 = 1166 x 1 + 239
Step 3: We consider the new divisor 1166 and the new remainder 239, and apply the division lemma to get
1166 = 239 x 4 + 210
We consider the new divisor 239 and the new remainder 210,and apply the division lemma to get
239 = 210 x 1 + 29
We consider the new divisor 210 and the new remainder 29,and apply the division lemma to get
210 = 29 x 7 + 7
We consider the new divisor 29 and the new remainder 7,and apply the division lemma to get
29 = 7 x 4 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9596 and 1405 is 1
Notice that 1 = HCF(7,1) = HCF(29,7) = HCF(210,29) = HCF(239,210) = HCF(1166,239) = HCF(1405,1166) = HCF(9596,1405) .
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Frequently Asked Questions on HCF of 9596, 1405 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 9596, 1405?
Answer: HCF of 9596, 1405 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9596, 1405 using Euclid's Algorithm?
Answer: For arbitrary numbers 9596, 1405 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
