Highest Common Factor of 5526, 2867 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 5526, 2867 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5526, 2867 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 5526, 2867 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 5526, 2867 is 1.
HCF(5526, 2867) = 1
HCF of 5526, 2867 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5526, 2867 is 1.
Highest Common Factor of 5526,2867 is 1
Step 1: Since 5526 > 2867, we apply the division lemma to 5526 and 2867, to get
5526 = 2867 x 1 + 2659
Step 2: Since the reminder 2867 ≠ 0, we apply division lemma to 2659 and 2867, to get
2867 = 2659 x 1 + 208
Step 3: We consider the new divisor 2659 and the new remainder 208, and apply the division lemma to get
2659 = 208 x 12 + 163
We consider the new divisor 208 and the new remainder 163,and apply the division lemma to get
208 = 163 x 1 + 45
We consider the new divisor 163 and the new remainder 45,and apply the division lemma to get
163 = 45 x 3 + 28
We consider the new divisor 45 and the new remainder 28,and apply the division lemma to get
45 = 28 x 1 + 17
We consider the new divisor 28 and the new remainder 17,and apply the division lemma to get
28 = 17 x 1 + 11
We consider the new divisor 17 and the new remainder 11,and apply the division lemma to get
17 = 11 x 1 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 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 5526 and 2867 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(17,11) = HCF(28,17) = HCF(45,28) = HCF(163,45) = HCF(208,163) = HCF(2659,208) = HCF(2867,2659) = HCF(5526,2867) .
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Frequently Asked Questions on HCF of 5526, 2867 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 5526, 2867?
Answer: HCF of 5526, 2867 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5526, 2867 using Euclid's Algorithm?
Answer: For arbitrary numbers 5526, 2867 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.