Highest Common Factor of 9696, 5491 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 9696, 5491 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9696, 5491 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 9696, 5491 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 9696, 5491 is 1.
HCF(9696, 5491) = 1
HCF of 9696, 5491 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9696, 5491 is 1.
Highest Common Factor of 9696,5491 is 1
Step 1: Since 9696 > 5491, we apply the division lemma to 9696 and 5491, to get
9696 = 5491 x 1 + 4205
Step 2: Since the reminder 5491 ≠ 0, we apply division lemma to 4205 and 5491, to get
5491 = 4205 x 1 + 1286
Step 3: We consider the new divisor 4205 and the new remainder 1286, and apply the division lemma to get
4205 = 1286 x 3 + 347
We consider the new divisor 1286 and the new remainder 347,and apply the division lemma to get
1286 = 347 x 3 + 245
We consider the new divisor 347 and the new remainder 245,and apply the division lemma to get
347 = 245 x 1 + 102
We consider the new divisor 245 and the new remainder 102,and apply the division lemma to get
245 = 102 x 2 + 41
We consider the new divisor 102 and the new remainder 41,and apply the division lemma to get
102 = 41 x 2 + 20
We consider the new divisor 41 and the new remainder 20,and apply the division lemma to get
41 = 20 x 2 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9696 and 5491 is 1
Notice that 1 = HCF(20,1) = HCF(41,20) = HCF(102,41) = HCF(245,102) = HCF(347,245) = HCF(1286,347) = HCF(4205,1286) = HCF(5491,4205) = HCF(9696,5491) .
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Frequently Asked Questions on HCF of 9696, 5491 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 9696, 5491?
Answer: HCF of 9696, 5491 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9696, 5491 using Euclid's Algorithm?
Answer: For arbitrary numbers 9696, 5491 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
