Highest Common Factor of 4982, 9089 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 4982, 9089 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4982, 9089 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 4982, 9089 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 4982, 9089 is 1.
HCF(4982, 9089) = 1
HCF of 4982, 9089 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4982, 9089 is 1.
Highest Common Factor of 4982,9089 is 1
Step 1: Since 9089 > 4982, we apply the division lemma to 9089 and 4982, to get
9089 = 4982 x 1 + 4107
Step 2: Since the reminder 4982 ≠ 0, we apply division lemma to 4107 and 4982, to get
4982 = 4107 x 1 + 875
Step 3: We consider the new divisor 4107 and the new remainder 875, and apply the division lemma to get
4107 = 875 x 4 + 607
We consider the new divisor 875 and the new remainder 607,and apply the division lemma to get
875 = 607 x 1 + 268
We consider the new divisor 607 and the new remainder 268,and apply the division lemma to get
607 = 268 x 2 + 71
We consider the new divisor 268 and the new remainder 71,and apply the division lemma to get
268 = 71 x 3 + 55
We consider the new divisor 71 and the new remainder 55,and apply the division lemma to get
71 = 55 x 1 + 16
We consider the new divisor 55 and the new remainder 16,and apply the division lemma to get
55 = 16 x 3 + 7
We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get
16 = 7 x 2 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 4982 and 9089 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(55,16) = HCF(71,55) = HCF(268,71) = HCF(607,268) = HCF(875,607) = HCF(4107,875) = HCF(4982,4107) = HCF(9089,4982) .
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Frequently Asked Questions on HCF of 4982, 9089 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 4982, 9089?
Answer: HCF of 4982, 9089 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4982, 9089 using Euclid's Algorithm?
Answer: For arbitrary numbers 4982, 9089 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.