Highest Common Factor of 8124, 6469 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 8124, 6469 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8124, 6469 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 8124, 6469 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 8124, 6469 is 1.
HCF(8124, 6469) = 1
HCF of 8124, 6469 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8124, 6469 is 1.
Highest Common Factor of 8124,6469 is 1
Step 1: Since 8124 > 6469, we apply the division lemma to 8124 and 6469, to get
8124 = 6469 x 1 + 1655
Step 2: Since the reminder 6469 ≠ 0, we apply division lemma to 1655 and 6469, to get
6469 = 1655 x 3 + 1504
Step 3: We consider the new divisor 1655 and the new remainder 1504, and apply the division lemma to get
1655 = 1504 x 1 + 151
We consider the new divisor 1504 and the new remainder 151,and apply the division lemma to get
1504 = 151 x 9 + 145
We consider the new divisor 151 and the new remainder 145,and apply the division lemma to get
151 = 145 x 1 + 6
We consider the new divisor 145 and the new remainder 6,and apply the division lemma to get
145 = 6 x 24 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8124 and 6469 is 1
Notice that 1 = HCF(6,1) = HCF(145,6) = HCF(151,145) = HCF(1504,151) = HCF(1655,1504) = HCF(6469,1655) = HCF(8124,6469) .
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Frequently Asked Questions on HCF of 8124, 6469 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 8124, 6469?
Answer: HCF of 8124, 6469 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8124, 6469 using Euclid's Algorithm?
Answer: For arbitrary numbers 8124, 6469 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.