Highest Common Factor of 7632, 7697, 44306 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 7632, 7697, 44306 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7632, 7697, 44306 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 7632, 7697, 44306 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 7632, 7697, 44306 is 1.
HCF(7632, 7697, 44306) = 1
HCF of 7632, 7697, 44306 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7632, 7697, 44306 is 1.
Highest Common Factor of 7632,7697,44306 is 1
Step 1: Since 7697 > 7632, we apply the division lemma to 7697 and 7632, to get
7697 = 7632 x 1 + 65
Step 2: Since the reminder 7632 ≠ 0, we apply division lemma to 65 and 7632, to get
7632 = 65 x 117 + 27
Step 3: We consider the new divisor 65 and the new remainder 27, and apply the division lemma to get
65 = 27 x 2 + 11
We consider the new divisor 27 and the new remainder 11,and apply the division lemma to get
27 = 11 x 2 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7632 and 7697 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(27,11) = HCF(65,27) = HCF(7632,65) = HCF(7697,7632) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 44306 > 1, we apply the division lemma to 44306 and 1, to get
44306 = 1 x 44306 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 44306 is 1
Notice that 1 = HCF(44306,1) .
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Frequently Asked Questions on HCF of 7632, 7697, 44306 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 7632, 7697, 44306?
Answer: HCF of 7632, 7697, 44306 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7632, 7697, 44306 using Euclid's Algorithm?
Answer: For arbitrary numbers 7632, 7697, 44306 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
