Highest Common Factor of 9982, 3068 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 9982, 3068 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9982, 3068 is 2 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 9982, 3068 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 9982, 3068 is 2.
HCF(9982, 3068) = 2
HCF of 9982, 3068 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9982, 3068 is 2.
Highest Common Factor of 9982,3068 is 2
Step 1: Since 9982 > 3068, we apply the division lemma to 9982 and 3068, to get
9982 = 3068 x 3 + 778
Step 2: Since the reminder 3068 ≠ 0, we apply division lemma to 778 and 3068, to get
3068 = 778 x 3 + 734
Step 3: We consider the new divisor 778 and the new remainder 734, and apply the division lemma to get
778 = 734 x 1 + 44
We consider the new divisor 734 and the new remainder 44,and apply the division lemma to get
734 = 44 x 16 + 30
We consider the new divisor 44 and the new remainder 30,and apply the division lemma to get
44 = 30 x 1 + 14
We consider the new divisor 30 and the new remainder 14,and apply the division lemma to get
30 = 14 x 2 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9982 and 3068 is 2
Notice that 2 = HCF(14,2) = HCF(30,14) = HCF(44,30) = HCF(734,44) = HCF(778,734) = HCF(3068,778) = HCF(9982,3068) .
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Frequently Asked Questions on HCF of 9982, 3068 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 9982, 3068?
Answer: HCF of 9982, 3068 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9982, 3068 using Euclid's Algorithm?
Answer: For arbitrary numbers 9982, 3068 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.