Highest Common Factor of 9703, 5121 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 9703, 5121 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9703, 5121 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 9703, 5121 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 9703, 5121 is 1.
HCF(9703, 5121) = 1
HCF of 9703, 5121 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9703, 5121 is 1.
Highest Common Factor of 9703,5121 is 1
Step 1: Since 9703 > 5121, we apply the division lemma to 9703 and 5121, to get
9703 = 5121 x 1 + 4582
Step 2: Since the reminder 5121 ≠ 0, we apply division lemma to 4582 and 5121, to get
5121 = 4582 x 1 + 539
Step 3: We consider the new divisor 4582 and the new remainder 539, and apply the division lemma to get
4582 = 539 x 8 + 270
We consider the new divisor 539 and the new remainder 270,and apply the division lemma to get
539 = 270 x 1 + 269
We consider the new divisor 270 and the new remainder 269,and apply the division lemma to get
270 = 269 x 1 + 1
We consider the new divisor 269 and the new remainder 1,and apply the division lemma to get
269 = 1 x 269 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9703 and 5121 is 1
Notice that 1 = HCF(269,1) = HCF(270,269) = HCF(539,270) = HCF(4582,539) = HCF(5121,4582) = HCF(9703,5121) .
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Frequently Asked Questions on HCF of 9703, 5121 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 9703, 5121?
Answer: HCF of 9703, 5121 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9703, 5121 using Euclid's Algorithm?
Answer: For arbitrary numbers 9703, 5121 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.