Highest Common Factor of 989, 717 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, 717 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 989, 717 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, 717 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, 717 is 1.
HCF(989, 717) = 1
HCF of 989, 717 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, 717 is 1.
Highest Common Factor of 989,717 is 1
Step 1: Since 989 > 717, we apply the division lemma to 989 and 717, to get
989 = 717 x 1 + 272
Step 2: Since the reminder 717 ≠ 0, we apply division lemma to 272 and 717, to get
717 = 272 x 2 + 173
Step 3: We consider the new divisor 272 and the new remainder 173, and apply the division lemma to get
272 = 173 x 1 + 99
We consider the new divisor 173 and the new remainder 99,and apply the division lemma to get
173 = 99 x 1 + 74
We consider the new divisor 99 and the new remainder 74,and apply the division lemma to get
99 = 74 x 1 + 25
We consider the new divisor 74 and the new remainder 25,and apply the division lemma to get
74 = 25 x 2 + 24
We consider the new divisor 25 and the new remainder 24,and apply the division lemma to get
25 = 24 x 1 + 1
We consider the new divisor 24 and the new remainder 1,and apply the division lemma to get
24 = 1 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 989 and 717 is 1
Notice that 1 = HCF(24,1) = HCF(25,24) = HCF(74,25) = HCF(99,74) = HCF(173,99) = HCF(272,173) = HCF(717,272) = HCF(989,717) .
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Frequently Asked Questions on HCF of 989, 717 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, 717?
Answer: HCF of 989, 717 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 989, 717 using Euclid's Algorithm?
Answer: For arbitrary numbers 989, 717 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.