Highest Common Factor of 8258, 6524 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 8258, 6524 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8258, 6524 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 8258, 6524 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 8258, 6524 is 2.
HCF(8258, 6524) = 2
HCF of 8258, 6524 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8258, 6524 is 2.
Highest Common Factor of 8258,6524 is 2
Step 1: Since 8258 > 6524, we apply the division lemma to 8258 and 6524, to get
8258 = 6524 x 1 + 1734
Step 2: Since the reminder 6524 ≠ 0, we apply division lemma to 1734 and 6524, to get
6524 = 1734 x 3 + 1322
Step 3: We consider the new divisor 1734 and the new remainder 1322, and apply the division lemma to get
1734 = 1322 x 1 + 412
We consider the new divisor 1322 and the new remainder 412,and apply the division lemma to get
1322 = 412 x 3 + 86
We consider the new divisor 412 and the new remainder 86,and apply the division lemma to get
412 = 86 x 4 + 68
We consider the new divisor 86 and the new remainder 68,and apply the division lemma to get
86 = 68 x 1 + 18
We consider the new divisor 68 and the new remainder 18,and apply the division lemma to get
68 = 18 x 3 + 14
We consider the new divisor 18 and the new remainder 14,and apply the division lemma to get
18 = 14 x 1 + 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 8258 and 6524 is 2
Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(18,14) = HCF(68,18) = HCF(86,68) = HCF(412,86) = HCF(1322,412) = HCF(1734,1322) = HCF(6524,1734) = HCF(8258,6524) .
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Frequently Asked Questions on HCF of 8258, 6524 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 8258, 6524?
Answer: HCF of 8258, 6524 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8258, 6524 using Euclid's Algorithm?
Answer: For arbitrary numbers 8258, 6524 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.