Highest Common Factor of 2069, 8033 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 2069, 8033 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2069, 8033 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 2069, 8033 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 2069, 8033 is 1.
HCF(2069, 8033) = 1
HCF of 2069, 8033 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2069, 8033 is 1.
Highest Common Factor of 2069,8033 is 1
Step 1: Since 8033 > 2069, we apply the division lemma to 8033 and 2069, to get
8033 = 2069 x 3 + 1826
Step 2: Since the reminder 2069 ≠ 0, we apply division lemma to 1826 and 2069, to get
2069 = 1826 x 1 + 243
Step 3: We consider the new divisor 1826 and the new remainder 243, and apply the division lemma to get
1826 = 243 x 7 + 125
We consider the new divisor 243 and the new remainder 125,and apply the division lemma to get
243 = 125 x 1 + 118
We consider the new divisor 125 and the new remainder 118,and apply the division lemma to get
125 = 118 x 1 + 7
We consider the new divisor 118 and the new remainder 7,and apply the division lemma to get
118 = 7 x 16 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 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 2069 and 8033 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(118,7) = HCF(125,118) = HCF(243,125) = HCF(1826,243) = HCF(2069,1826) = HCF(8033,2069) .
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Frequently Asked Questions on HCF of 2069, 8033 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 2069, 8033?
Answer: HCF of 2069, 8033 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2069, 8033 using Euclid's Algorithm?
Answer: For arbitrary numbers 2069, 8033 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
