Highest Common Factor of 289, 487 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 289, 487 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 289, 487 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 289, 487 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 289, 487 is 1.
HCF(289, 487) = 1
HCF of 289, 487 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 289, 487 is 1.
Highest Common Factor of 289,487 is 1
Step 1: Since 487 > 289, we apply the division lemma to 487 and 289, to get
487 = 289 x 1 + 198
Step 2: Since the reminder 289 ≠ 0, we apply division lemma to 198 and 289, to get
289 = 198 x 1 + 91
Step 3: We consider the new divisor 198 and the new remainder 91, and apply the division lemma to get
198 = 91 x 2 + 16
We consider the new divisor 91 and the new remainder 16,and apply the division lemma to get
91 = 16 x 5 + 11
We consider the new divisor 16 and the new remainder 11,and apply the division lemma to get
16 = 11 x 1 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 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 289 and 487 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(91,16) = HCF(198,91) = HCF(289,198) = HCF(487,289) .
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Frequently Asked Questions on HCF of 289, 487 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 289, 487?
Answer: HCF of 289, 487 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 289, 487 using Euclid's Algorithm?
Answer: For arbitrary numbers 289, 487 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.