Highest Common Factor of 8261, 8551 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 8261, 8551 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8261, 8551 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 8261, 8551 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 8261, 8551 is 1.
HCF(8261, 8551) = 1
HCF of 8261, 8551 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8261, 8551 is 1.
Highest Common Factor of 8261,8551 is 1
Step 1: Since 8551 > 8261, we apply the division lemma to 8551 and 8261, to get
8551 = 8261 x 1 + 290
Step 2: Since the reminder 8261 ≠ 0, we apply division lemma to 290 and 8261, to get
8261 = 290 x 28 + 141
Step 3: We consider the new divisor 290 and the new remainder 141, and apply the division lemma to get
290 = 141 x 2 + 8
We consider the new divisor 141 and the new remainder 8,and apply the division lemma to get
141 = 8 x 17 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8261 and 8551 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(141,8) = HCF(290,141) = HCF(8261,290) = HCF(8551,8261) .
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Frequently Asked Questions on HCF of 8261, 8551 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 8261, 8551?
Answer: HCF of 8261, 8551 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8261, 8551 using Euclid's Algorithm?
Answer: For arbitrary numbers 8261, 8551 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.