Highest Common Factor of 9929, 9264, 20621 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, 9264, 20621 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9929, 9264, 20621 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, 9264, 20621 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, 9264, 20621 is 1.
HCF(9929, 9264, 20621) = 1
HCF of 9929, 9264, 20621 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, 9264, 20621 is 1.
Highest Common Factor of 9929,9264,20621 is 1
Step 1: Since 9929 > 9264, we apply the division lemma to 9929 and 9264, to get
9929 = 9264 x 1 + 665
Step 2: Since the reminder 9264 ≠ 0, we apply division lemma to 665 and 9264, to get
9264 = 665 x 13 + 619
Step 3: We consider the new divisor 665 and the new remainder 619, and apply the division lemma to get
665 = 619 x 1 + 46
We consider the new divisor 619 and the new remainder 46,and apply the division lemma to get
619 = 46 x 13 + 21
We consider the new divisor 46 and the new remainder 21,and apply the division lemma to get
46 = 21 x 2 + 4
We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get
21 = 4 x 5 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9929 and 9264 is 1
Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(46,21) = HCF(619,46) = HCF(665,619) = HCF(9264,665) = HCF(9929,9264) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 20621 > 1, we apply the division lemma to 20621 and 1, to get
20621 = 1 x 20621 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 20621 is 1
Notice that 1 = HCF(20621,1) .
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Frequently Asked Questions on HCF of 9929, 9264, 20621 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, 9264, 20621?
Answer: HCF of 9929, 9264, 20621 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9929, 9264, 20621 using Euclid's Algorithm?
Answer: For arbitrary numbers 9929, 9264, 20621 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.