Highest Common Factor of 7068, 8619 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 7068, 8619 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 7068, 8619 is 3 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 7068, 8619 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 7068, 8619 is 3.
HCF(7068, 8619) = 3
HCF of 7068, 8619 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7068, 8619 is 3.
Highest Common Factor of 7068,8619 is 3
Step 1: Since 8619 > 7068, we apply the division lemma to 8619 and 7068, to get
8619 = 7068 x 1 + 1551
Step 2: Since the reminder 7068 ≠ 0, we apply division lemma to 1551 and 7068, to get
7068 = 1551 x 4 + 864
Step 3: We consider the new divisor 1551 and the new remainder 864, and apply the division lemma to get
1551 = 864 x 1 + 687
We consider the new divisor 864 and the new remainder 687,and apply the division lemma to get
864 = 687 x 1 + 177
We consider the new divisor 687 and the new remainder 177,and apply the division lemma to get
687 = 177 x 3 + 156
We consider the new divisor 177 and the new remainder 156,and apply the division lemma to get
177 = 156 x 1 + 21
We consider the new divisor 156 and the new remainder 21,and apply the division lemma to get
156 = 21 x 7 + 9
We consider the new divisor 21 and the new remainder 9,and apply the division lemma to get
21 = 9 x 2 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 7068 and 8619 is 3
Notice that 3 = HCF(9,3) = HCF(21,9) = HCF(156,21) = HCF(177,156) = HCF(687,177) = HCF(864,687) = HCF(1551,864) = HCF(7068,1551) = HCF(8619,7068) .
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Frequently Asked Questions on HCF of 7068, 8619 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 7068, 8619?
Answer: HCF of 7068, 8619 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7068, 8619 using Euclid's Algorithm?
Answer: For arbitrary numbers 7068, 8619 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.