Highest Common Factor of 8638, 6513 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 8638, 6513 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8638, 6513 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 8638, 6513 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 8638, 6513 is 1.
HCF(8638, 6513) = 1
HCF of 8638, 6513 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8638, 6513 is 1.
Highest Common Factor of 8638,6513 is 1
Step 1: Since 8638 > 6513, we apply the division lemma to 8638 and 6513, to get
8638 = 6513 x 1 + 2125
Step 2: Since the reminder 6513 ≠ 0, we apply division lemma to 2125 and 6513, to get
6513 = 2125 x 3 + 138
Step 3: We consider the new divisor 2125 and the new remainder 138, and apply the division lemma to get
2125 = 138 x 15 + 55
We consider the new divisor 138 and the new remainder 55,and apply the division lemma to get
138 = 55 x 2 + 28
We consider the new divisor 55 and the new remainder 28,and apply the division lemma to get
55 = 28 x 1 + 27
We consider the new divisor 28 and the new remainder 27,and apply the division lemma to get
28 = 27 x 1 + 1
We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get
27 = 1 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8638 and 6513 is 1
Notice that 1 = HCF(27,1) = HCF(28,27) = HCF(55,28) = HCF(138,55) = HCF(2125,138) = HCF(6513,2125) = HCF(8638,6513) .
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Frequently Asked Questions on HCF of 8638, 6513 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 8638, 6513?
Answer: HCF of 8638, 6513 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8638, 6513 using Euclid's Algorithm?
Answer: For arbitrary numbers 8638, 6513 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.