Highest Common Factor of 9997, 5244 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 9997, 5244 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9997, 5244 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 9997, 5244 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 9997, 5244 is 1.
HCF(9997, 5244) = 1
HCF of 9997, 5244 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9997, 5244 is 1.
Highest Common Factor of 9997,5244 is 1
Step 1: Since 9997 > 5244, we apply the division lemma to 9997 and 5244, to get
9997 = 5244 x 1 + 4753
Step 2: Since the reminder 5244 ≠ 0, we apply division lemma to 4753 and 5244, to get
5244 = 4753 x 1 + 491
Step 3: We consider the new divisor 4753 and the new remainder 491, and apply the division lemma to get
4753 = 491 x 9 + 334
We consider the new divisor 491 and the new remainder 334,and apply the division lemma to get
491 = 334 x 1 + 157
We consider the new divisor 334 and the new remainder 157,and apply the division lemma to get
334 = 157 x 2 + 20
We consider the new divisor 157 and the new remainder 20,and apply the division lemma to get
157 = 20 x 7 + 17
We consider the new divisor 20 and the new remainder 17,and apply the division lemma to get
20 = 17 x 1 + 3
We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get
17 = 3 x 5 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 9997 and 5244 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(20,17) = HCF(157,20) = HCF(334,157) = HCF(491,334) = HCF(4753,491) = HCF(5244,4753) = HCF(9997,5244) .
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Frequently Asked Questions on HCF of 9997, 5244 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 9997, 5244?
Answer: HCF of 9997, 5244 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9997, 5244 using Euclid's Algorithm?
Answer: For arbitrary numbers 9997, 5244 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.