Highest Common Factor of 8642, 6896 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 8642, 6896 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8642, 6896 is 2 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 8642, 6896 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 8642, 6896 is 2.
HCF(8642, 6896) = 2
HCF of 8642, 6896 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8642, 6896 is 2.
Highest Common Factor of 8642,6896 is 2
Step 1: Since 8642 > 6896, we apply the division lemma to 8642 and 6896, to get
8642 = 6896 x 1 + 1746
Step 2: Since the reminder 6896 ≠ 0, we apply division lemma to 1746 and 6896, to get
6896 = 1746 x 3 + 1658
Step 3: We consider the new divisor 1746 and the new remainder 1658, and apply the division lemma to get
1746 = 1658 x 1 + 88
We consider the new divisor 1658 and the new remainder 88,and apply the division lemma to get
1658 = 88 x 18 + 74
We consider the new divisor 88 and the new remainder 74,and apply the division lemma to get
88 = 74 x 1 + 14
We consider the new divisor 74 and the new remainder 14,and apply the division lemma to get
74 = 14 x 5 + 4
We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get
14 = 4 x 3 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8642 and 6896 is 2
Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(74,14) = HCF(88,74) = HCF(1658,88) = HCF(1746,1658) = HCF(6896,1746) = HCF(8642,6896) .
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Frequently Asked Questions on HCF of 8642, 6896 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 8642, 6896?
Answer: HCF of 8642, 6896 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8642, 6896 using Euclid's Algorithm?
Answer: For arbitrary numbers 8642, 6896 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
