Highest Common Factor of 998, 6683 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 998, 6683 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 998, 6683 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 998, 6683 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 998, 6683 is 1.
HCF(998, 6683) = 1
HCF of 998, 6683 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 998, 6683 is 1.
Highest Common Factor of 998,6683 is 1
Step 1: Since 6683 > 998, we apply the division lemma to 6683 and 998, to get
6683 = 998 x 6 + 695
Step 2: Since the reminder 998 ≠ 0, we apply division lemma to 695 and 998, to get
998 = 695 x 1 + 303
Step 3: We consider the new divisor 695 and the new remainder 303, and apply the division lemma to get
695 = 303 x 2 + 89
We consider the new divisor 303 and the new remainder 89,and apply the division lemma to get
303 = 89 x 3 + 36
We consider the new divisor 89 and the new remainder 36,and apply the division lemma to get
89 = 36 x 2 + 17
We consider the new divisor 36 and the new remainder 17,and apply the division lemma to get
36 = 17 x 2 + 2
We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get
17 = 2 x 8 + 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 998 and 6683 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(36,17) = HCF(89,36) = HCF(303,89) = HCF(695,303) = HCF(998,695) = HCF(6683,998) .
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Frequently Asked Questions on HCF of 998, 6683 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 998, 6683?
Answer: HCF of 998, 6683 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 998, 6683 using Euclid's Algorithm?
Answer: For arbitrary numbers 998, 6683 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.