Highest Common Factor of 8249, 1289 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 8249, 1289 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8249, 1289 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 8249, 1289 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 8249, 1289 is 1.
HCF(8249, 1289) = 1
HCF of 8249, 1289 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8249, 1289 is 1.
Highest Common Factor of 8249,1289 is 1
Step 1: Since 8249 > 1289, we apply the division lemma to 8249 and 1289, to get
8249 = 1289 x 6 + 515
Step 2: Since the reminder 1289 ≠ 0, we apply division lemma to 515 and 1289, to get
1289 = 515 x 2 + 259
Step 3: We consider the new divisor 515 and the new remainder 259, and apply the division lemma to get
515 = 259 x 1 + 256
We consider the new divisor 259 and the new remainder 256,and apply the division lemma to get
259 = 256 x 1 + 3
We consider the new divisor 256 and the new remainder 3,and apply the division lemma to get
256 = 3 x 85 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8249 and 1289 is 1
Notice that 1 = HCF(3,1) = HCF(256,3) = HCF(259,256) = HCF(515,259) = HCF(1289,515) = HCF(8249,1289) .
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Frequently Asked Questions on HCF of 8249, 1289 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 8249, 1289?
Answer: HCF of 8249, 1289 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8249, 1289 using Euclid's Algorithm?
Answer: For arbitrary numbers 8249, 1289 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.