Highest Common Factor of 1666, 8069 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 1666, 8069 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1666, 8069 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 1666, 8069 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 1666, 8069 is 1.
HCF(1666, 8069) = 1
HCF of 1666, 8069 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1666, 8069 is 1.
Highest Common Factor of 1666,8069 is 1
Step 1: Since 8069 > 1666, we apply the division lemma to 8069 and 1666, to get
8069 = 1666 x 4 + 1405
Step 2: Since the reminder 1666 ≠ 0, we apply division lemma to 1405 and 1666, to get
1666 = 1405 x 1 + 261
Step 3: We consider the new divisor 1405 and the new remainder 261, and apply the division lemma to get
1405 = 261 x 5 + 100
We consider the new divisor 261 and the new remainder 100,and apply the division lemma to get
261 = 100 x 2 + 61
We consider the new divisor 100 and the new remainder 61,and apply the division lemma to get
100 = 61 x 1 + 39
We consider the new divisor 61 and the new remainder 39,and apply the division lemma to get
61 = 39 x 1 + 22
We consider the new divisor 39 and the new remainder 22,and apply the division lemma to get
39 = 22 x 1 + 17
We consider the new divisor 22 and the new remainder 17,and apply the division lemma to get
22 = 17 x 1 + 5
We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get
17 = 5 x 3 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1666 and 8069 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(22,17) = HCF(39,22) = HCF(61,39) = HCF(100,61) = HCF(261,100) = HCF(1405,261) = HCF(1666,1405) = HCF(8069,1666) .
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Frequently Asked Questions on HCF of 1666, 8069 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 1666, 8069?
Answer: HCF of 1666, 8069 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1666, 8069 using Euclid's Algorithm?
Answer: For arbitrary numbers 1666, 8069 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.