Highest Common Factor of 1999, 8333 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 1999, 8333 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1999, 8333 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 1999, 8333 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 1999, 8333 is 1.
HCF(1999, 8333) = 1
HCF of 1999, 8333 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1999, 8333 is 1.
Highest Common Factor of 1999,8333 is 1
Step 1: Since 8333 > 1999, we apply the division lemma to 8333 and 1999, to get
8333 = 1999 x 4 + 337
Step 2: Since the reminder 1999 ≠ 0, we apply division lemma to 337 and 1999, to get
1999 = 337 x 5 + 314
Step 3: We consider the new divisor 337 and the new remainder 314, and apply the division lemma to get
337 = 314 x 1 + 23
We consider the new divisor 314 and the new remainder 23,and apply the division lemma to get
314 = 23 x 13 + 15
We consider the new divisor 23 and the new remainder 15,and apply the division lemma to get
23 = 15 x 1 + 8
We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get
15 = 8 x 1 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1999 and 8333 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(23,15) = HCF(314,23) = HCF(337,314) = HCF(1999,337) = HCF(8333,1999) .
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Frequently Asked Questions on HCF of 1999, 8333 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 1999, 8333?
Answer: HCF of 1999, 8333 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1999, 8333 using Euclid's Algorithm?
Answer: For arbitrary numbers 1999, 8333 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.