Highest Common Factor of 9083, 8019 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 9083, 8019 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9083, 8019 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 9083, 8019 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 9083, 8019 is 1.
HCF(9083, 8019) = 1
HCF of 9083, 8019 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9083, 8019 is 1.
Highest Common Factor of 9083,8019 is 1
Step 1: Since 9083 > 8019, we apply the division lemma to 9083 and 8019, to get
9083 = 8019 x 1 + 1064
Step 2: Since the reminder 8019 ≠ 0, we apply division lemma to 1064 and 8019, to get
8019 = 1064 x 7 + 571
Step 3: We consider the new divisor 1064 and the new remainder 571, and apply the division lemma to get
1064 = 571 x 1 + 493
We consider the new divisor 571 and the new remainder 493,and apply the division lemma to get
571 = 493 x 1 + 78
We consider the new divisor 493 and the new remainder 78,and apply the division lemma to get
493 = 78 x 6 + 25
We consider the new divisor 78 and the new remainder 25,and apply the division lemma to get
78 = 25 x 3 + 3
We consider the new divisor 25 and the new remainder 3,and apply the division lemma to get
25 = 3 x 8 + 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 9083 and 8019 is 1
Notice that 1 = HCF(3,1) = HCF(25,3) = HCF(78,25) = HCF(493,78) = HCF(571,493) = HCF(1064,571) = HCF(8019,1064) = HCF(9083,8019) .
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Frequently Asked Questions on HCF of 9083, 8019 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 9083, 8019?
Answer: HCF of 9083, 8019 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9083, 8019 using Euclid's Algorithm?
Answer: For arbitrary numbers 9083, 8019 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.