Highest Common Factor of 9909, 2423 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 9909, 2423 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9909, 2423 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 9909, 2423 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 9909, 2423 is 1.
HCF(9909, 2423) = 1
HCF of 9909, 2423 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9909, 2423 is 1.
Highest Common Factor of 9909,2423 is 1
Step 1: Since 9909 > 2423, we apply the division lemma to 9909 and 2423, to get
9909 = 2423 x 4 + 217
Step 2: Since the reminder 2423 ≠ 0, we apply division lemma to 217 and 2423, to get
2423 = 217 x 11 + 36
Step 3: We consider the new divisor 217 and the new remainder 36, and apply the division lemma to get
217 = 36 x 6 + 1
We consider the new divisor 36 and the new remainder 1, and apply the division lemma to get
36 = 1 x 36 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9909 and 2423 is 1
Notice that 1 = HCF(36,1) = HCF(217,36) = HCF(2423,217) = HCF(9909,2423) .
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Frequently Asked Questions on HCF of 9909, 2423 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 9909, 2423?
Answer: HCF of 9909, 2423 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9909, 2423 using Euclid's Algorithm?
Answer: For arbitrary numbers 9909, 2423 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.