Highest Common Factor of 8023, 6699 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 8023, 6699 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8023, 6699 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 8023, 6699 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 8023, 6699 is 1.
HCF(8023, 6699) = 1
HCF of 8023, 6699 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8023, 6699 is 1.
Highest Common Factor of 8023,6699 is 1
Step 1: Since 8023 > 6699, we apply the division lemma to 8023 and 6699, to get
8023 = 6699 x 1 + 1324
Step 2: Since the reminder 6699 ≠ 0, we apply division lemma to 1324 and 6699, to get
6699 = 1324 x 5 + 79
Step 3: We consider the new divisor 1324 and the new remainder 79, and apply the division lemma to get
1324 = 79 x 16 + 60
We consider the new divisor 79 and the new remainder 60,and apply the division lemma to get
79 = 60 x 1 + 19
We consider the new divisor 60 and the new remainder 19,and apply the division lemma to get
60 = 19 x 3 + 3
We consider the new divisor 19 and the new remainder 3,and apply the division lemma to get
19 = 3 x 6 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8023 and 6699 is 1
Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(60,19) = HCF(79,60) = HCF(1324,79) = HCF(6699,1324) = HCF(8023,6699) .
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Frequently Asked Questions on HCF of 8023, 6699 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 8023, 6699?
Answer: HCF of 8023, 6699 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8023, 6699 using Euclid's Algorithm?
Answer: For arbitrary numbers 8023, 6699 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.