Highest Common Factor of 982, 61551 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 982, 61551 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 982, 61551 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 982, 61551 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 982, 61551 is 1.
HCF(982, 61551) = 1
HCF of 982, 61551 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 982, 61551 is 1.
Highest Common Factor of 982,61551 is 1
Step 1: Since 61551 > 982, we apply the division lemma to 61551 and 982, to get
61551 = 982 x 62 + 667
Step 2: Since the reminder 982 ≠ 0, we apply division lemma to 667 and 982, to get
982 = 667 x 1 + 315
Step 3: We consider the new divisor 667 and the new remainder 315, and apply the division lemma to get
667 = 315 x 2 + 37
We consider the new divisor 315 and the new remainder 37,and apply the division lemma to get
315 = 37 x 8 + 19
We consider the new divisor 37 and the new remainder 19,and apply the division lemma to get
37 = 19 x 1 + 18
We consider the new divisor 19 and the new remainder 18,and apply the division lemma to get
19 = 18 x 1 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 982 and 61551 is 1
Notice that 1 = HCF(18,1) = HCF(19,18) = HCF(37,19) = HCF(315,37) = HCF(667,315) = HCF(982,667) = HCF(61551,982) .
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Frequently Asked Questions on HCF of 982, 61551 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 982, 61551?
Answer: HCF of 982, 61551 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 982, 61551 using Euclid's Algorithm?
Answer: For arbitrary numbers 982, 61551 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.