Highest Common Factor of 9627, 5924 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 9627, 5924 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9627, 5924 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 9627, 5924 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 9627, 5924 is 1.
HCF(9627, 5924) = 1
HCF of 9627, 5924 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9627, 5924 is 1.
Highest Common Factor of 9627,5924 is 1
Step 1: Since 9627 > 5924, we apply the division lemma to 9627 and 5924, to get
9627 = 5924 x 1 + 3703
Step 2: Since the reminder 5924 ≠ 0, we apply division lemma to 3703 and 5924, to get
5924 = 3703 x 1 + 2221
Step 3: We consider the new divisor 3703 and the new remainder 2221, and apply the division lemma to get
3703 = 2221 x 1 + 1482
We consider the new divisor 2221 and the new remainder 1482,and apply the division lemma to get
2221 = 1482 x 1 + 739
We consider the new divisor 1482 and the new remainder 739,and apply the division lemma to get
1482 = 739 x 2 + 4
We consider the new divisor 739 and the new remainder 4,and apply the division lemma to get
739 = 4 x 184 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9627 and 5924 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(739,4) = HCF(1482,739) = HCF(2221,1482) = HCF(3703,2221) = HCF(5924,3703) = HCF(9627,5924) .
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Frequently Asked Questions on HCF of 9627, 5924 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 9627, 5924?
Answer: HCF of 9627, 5924 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9627, 5924 using Euclid's Algorithm?
Answer: For arbitrary numbers 9627, 5924 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.