Highest Common Factor of 5621, 9724 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 5621, 9724 i.e. 11 the largest integer that leaves a remainder zero for all numbers.
HCF of 5621, 9724 is 11 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 5621, 9724 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 5621, 9724 is 11.
HCF(5621, 9724) = 11
HCF of 5621, 9724 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5621, 9724 is 11.
Highest Common Factor of 5621,9724 is 11
Step 1: Since 9724 > 5621, we apply the division lemma to 9724 and 5621, to get
9724 = 5621 x 1 + 4103
Step 2: Since the reminder 5621 ≠ 0, we apply division lemma to 4103 and 5621, to get
5621 = 4103 x 1 + 1518
Step 3: We consider the new divisor 4103 and the new remainder 1518, and apply the division lemma to get
4103 = 1518 x 2 + 1067
We consider the new divisor 1518 and the new remainder 1067,and apply the division lemma to get
1518 = 1067 x 1 + 451
We consider the new divisor 1067 and the new remainder 451,and apply the division lemma to get
1067 = 451 x 2 + 165
We consider the new divisor 451 and the new remainder 165,and apply the division lemma to get
451 = 165 x 2 + 121
We consider the new divisor 165 and the new remainder 121,and apply the division lemma to get
165 = 121 x 1 + 44
We consider the new divisor 121 and the new remainder 44,and apply the division lemma to get
121 = 44 x 2 + 33
We consider the new divisor 44 and the new remainder 33,and apply the division lemma to get
44 = 33 x 1 + 11
We consider the new divisor 33 and the new remainder 11,and apply the division lemma to get
33 = 11 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 5621 and 9724 is 11
Notice that 11 = HCF(33,11) = HCF(44,33) = HCF(121,44) = HCF(165,121) = HCF(451,165) = HCF(1067,451) = HCF(1518,1067) = HCF(4103,1518) = HCF(5621,4103) = HCF(9724,5621) .
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Frequently Asked Questions on HCF of 5621, 9724 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 5621, 9724?
Answer: HCF of 5621, 9724 is 11 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5621, 9724 using Euclid's Algorithm?
Answer: For arbitrary numbers 5621, 9724 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.