Highest Common Factor of 7682, 4569 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 7682, 4569 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7682, 4569 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 7682, 4569 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 7682, 4569 is 1.
HCF(7682, 4569) = 1
HCF of 7682, 4569 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7682, 4569 is 1.
Highest Common Factor of 7682,4569 is 1
Step 1: Since 7682 > 4569, we apply the division lemma to 7682 and 4569, to get
7682 = 4569 x 1 + 3113
Step 2: Since the reminder 4569 ≠ 0, we apply division lemma to 3113 and 4569, to get
4569 = 3113 x 1 + 1456
Step 3: We consider the new divisor 3113 and the new remainder 1456, and apply the division lemma to get
3113 = 1456 x 2 + 201
We consider the new divisor 1456 and the new remainder 201,and apply the division lemma to get
1456 = 201 x 7 + 49
We consider the new divisor 201 and the new remainder 49,and apply the division lemma to get
201 = 49 x 4 + 5
We consider the new divisor 49 and the new remainder 5,and apply the division lemma to get
49 = 5 x 9 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 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 7682 and 4569 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(49,5) = HCF(201,49) = HCF(1456,201) = HCF(3113,1456) = HCF(4569,3113) = HCF(7682,4569) .
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Frequently Asked Questions on HCF of 7682, 4569 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 7682, 4569?
Answer: HCF of 7682, 4569 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7682, 4569 using Euclid's Algorithm?
Answer: For arbitrary numbers 7682, 4569 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.