Highest Common Factor of 989, 3742 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 989, 3742 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 989, 3742 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 989, 3742 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 989, 3742 is 1.
HCF(989, 3742) = 1
HCF of 989, 3742 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 989, 3742 is 1.
Highest Common Factor of 989,3742 is 1
Step 1: Since 3742 > 989, we apply the division lemma to 3742 and 989, to get
3742 = 989 x 3 + 775
Step 2: Since the reminder 989 ≠ 0, we apply division lemma to 775 and 989, to get
989 = 775 x 1 + 214
Step 3: We consider the new divisor 775 and the new remainder 214, and apply the division lemma to get
775 = 214 x 3 + 133
We consider the new divisor 214 and the new remainder 133,and apply the division lemma to get
214 = 133 x 1 + 81
We consider the new divisor 133 and the new remainder 81,and apply the division lemma to get
133 = 81 x 1 + 52
We consider the new divisor 81 and the new remainder 52,and apply the division lemma to get
81 = 52 x 1 + 29
We consider the new divisor 52 and the new remainder 29,and apply the division lemma to get
52 = 29 x 1 + 23
We consider the new divisor 29 and the new remainder 23,and apply the division lemma to get
29 = 23 x 1 + 6
We consider the new divisor 23 and the new remainder 6,and apply the division lemma to get
23 = 6 x 3 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 989 and 3742 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(23,6) = HCF(29,23) = HCF(52,29) = HCF(81,52) = HCF(133,81) = HCF(214,133) = HCF(775,214) = HCF(989,775) = HCF(3742,989) .
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Frequently Asked Questions on HCF of 989, 3742 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 989, 3742?
Answer: HCF of 989, 3742 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 989, 3742 using Euclid's Algorithm?
Answer: For arbitrary numbers 989, 3742 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.