Highest Common Factor of 7693, 3984, 16629 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 7693, 3984, 16629 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7693, 3984, 16629 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 7693, 3984, 16629 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 7693, 3984, 16629 is 1.
HCF(7693, 3984, 16629) = 1
HCF of 7693, 3984, 16629 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7693, 3984, 16629 is 1.
Highest Common Factor of 7693,3984,16629 is 1
Step 1: Since 7693 > 3984, we apply the division lemma to 7693 and 3984, to get
7693 = 3984 x 1 + 3709
Step 2: Since the reminder 3984 ≠ 0, we apply division lemma to 3709 and 3984, to get
3984 = 3709 x 1 + 275
Step 3: We consider the new divisor 3709 and the new remainder 275, and apply the division lemma to get
3709 = 275 x 13 + 134
We consider the new divisor 275 and the new remainder 134,and apply the division lemma to get
275 = 134 x 2 + 7
We consider the new divisor 134 and the new remainder 7,and apply the division lemma to get
134 = 7 x 19 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7693 and 3984 is 1
Notice that 1 = HCF(7,1) = HCF(134,7) = HCF(275,134) = HCF(3709,275) = HCF(3984,3709) = HCF(7693,3984) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 16629 > 1, we apply the division lemma to 16629 and 1, to get
16629 = 1 x 16629 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 16629 is 1
Notice that 1 = HCF(16629,1) .
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Frequently Asked Questions on HCF of 7693, 3984, 16629 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 7693, 3984, 16629?
Answer: HCF of 7693, 3984, 16629 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7693, 3984, 16629 using Euclid's Algorithm?
Answer: For arbitrary numbers 7693, 3984, 16629 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
