Highest Common Factor of 5396, 9969 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 5396, 9969 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5396, 9969 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 5396, 9969 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 5396, 9969 is 1.
HCF(5396, 9969) = 1
HCF of 5396, 9969 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5396, 9969 is 1.
Highest Common Factor of 5396,9969 is 1
Step 1: Since 9969 > 5396, we apply the division lemma to 9969 and 5396, to get
9969 = 5396 x 1 + 4573
Step 2: Since the reminder 5396 ≠ 0, we apply division lemma to 4573 and 5396, to get
5396 = 4573 x 1 + 823
Step 3: We consider the new divisor 4573 and the new remainder 823, and apply the division lemma to get
4573 = 823 x 5 + 458
We consider the new divisor 823 and the new remainder 458,and apply the division lemma to get
823 = 458 x 1 + 365
We consider the new divisor 458 and the new remainder 365,and apply the division lemma to get
458 = 365 x 1 + 93
We consider the new divisor 365 and the new remainder 93,and apply the division lemma to get
365 = 93 x 3 + 86
We consider the new divisor 93 and the new remainder 86,and apply the division lemma to get
93 = 86 x 1 + 7
We consider the new divisor 86 and the new remainder 7,and apply the division lemma to get
86 = 7 x 12 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 5396 and 9969 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(86,7) = HCF(93,86) = HCF(365,93) = HCF(458,365) = HCF(823,458) = HCF(4573,823) = HCF(5396,4573) = HCF(9969,5396) .
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Frequently Asked Questions on HCF of 5396, 9969 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 5396, 9969?
Answer: HCF of 5396, 9969 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5396, 9969 using Euclid's Algorithm?
Answer: For arbitrary numbers 5396, 9969 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.