Highest Common Factor of 9929, 3023 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 9929, 3023 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9929, 3023 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 9929, 3023 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 9929, 3023 is 1.
HCF(9929, 3023) = 1
HCF of 9929, 3023 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9929, 3023 is 1.
Highest Common Factor of 9929,3023 is 1
Step 1: Since 9929 > 3023, we apply the division lemma to 9929 and 3023, to get
9929 = 3023 x 3 + 860
Step 2: Since the reminder 3023 ≠ 0, we apply division lemma to 860 and 3023, to get
3023 = 860 x 3 + 443
Step 3: We consider the new divisor 860 and the new remainder 443, and apply the division lemma to get
860 = 443 x 1 + 417
We consider the new divisor 443 and the new remainder 417,and apply the division lemma to get
443 = 417 x 1 + 26
We consider the new divisor 417 and the new remainder 26,and apply the division lemma to get
417 = 26 x 16 + 1
We consider the new divisor 26 and the new remainder 1,and apply the division lemma to get
26 = 1 x 26 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9929 and 3023 is 1
Notice that 1 = HCF(26,1) = HCF(417,26) = HCF(443,417) = HCF(860,443) = HCF(3023,860) = HCF(9929,3023) .
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Frequently Asked Questions on HCF of 9929, 3023 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 9929, 3023?
Answer: HCF of 9929, 3023 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9929, 3023 using Euclid's Algorithm?
Answer: For arbitrary numbers 9929, 3023 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.