Highest Common Factor of 2522, 8671 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 2522, 8671 i.e. 13 the largest integer that leaves a remainder zero for all numbers.
HCF of 2522, 8671 is 13 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 2522, 8671 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 2522, 8671 is 13.
HCF(2522, 8671) = 13
HCF of 2522, 8671 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2522, 8671 is 13.
Highest Common Factor of 2522,8671 is 13
Step 1: Since 8671 > 2522, we apply the division lemma to 8671 and 2522, to get
8671 = 2522 x 3 + 1105
Step 2: Since the reminder 2522 ≠ 0, we apply division lemma to 1105 and 2522, to get
2522 = 1105 x 2 + 312
Step 3: We consider the new divisor 1105 and the new remainder 312, and apply the division lemma to get
1105 = 312 x 3 + 169
We consider the new divisor 312 and the new remainder 169,and apply the division lemma to get
312 = 169 x 1 + 143
We consider the new divisor 169 and the new remainder 143,and apply the division lemma to get
169 = 143 x 1 + 26
We consider the new divisor 143 and the new remainder 26,and apply the division lemma to get
143 = 26 x 5 + 13
We consider the new divisor 26 and the new remainder 13,and apply the division lemma to get
26 = 13 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 2522 and 8671 is 13
Notice that 13 = HCF(26,13) = HCF(143,26) = HCF(169,143) = HCF(312,169) = HCF(1105,312) = HCF(2522,1105) = HCF(8671,2522) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 2522, 8671 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 2522, 8671?
Answer: HCF of 2522, 8671 is 13 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2522, 8671 using Euclid's Algorithm?
Answer: For arbitrary numbers 2522, 8671 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.