Highest Common Factor of 5227, 8815 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 5227, 8815 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5227, 8815 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 5227, 8815 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 5227, 8815 is 1.
HCF(5227, 8815) = 1
HCF of 5227, 8815 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5227, 8815 is 1.
Highest Common Factor of 5227,8815 is 1
Step 1: Since 8815 > 5227, we apply the division lemma to 8815 and 5227, to get
8815 = 5227 x 1 + 3588
Step 2: Since the reminder 5227 ≠ 0, we apply division lemma to 3588 and 5227, to get
5227 = 3588 x 1 + 1639
Step 3: We consider the new divisor 3588 and the new remainder 1639, and apply the division lemma to get
3588 = 1639 x 2 + 310
We consider the new divisor 1639 and the new remainder 310,and apply the division lemma to get
1639 = 310 x 5 + 89
We consider the new divisor 310 and the new remainder 89,and apply the division lemma to get
310 = 89 x 3 + 43
We consider the new divisor 89 and the new remainder 43,and apply the division lemma to get
89 = 43 x 2 + 3
We consider the new divisor 43 and the new remainder 3,and apply the division lemma to get
43 = 3 x 14 + 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 5227 and 8815 is 1
Notice that 1 = HCF(3,1) = HCF(43,3) = HCF(89,43) = HCF(310,89) = HCF(1639,310) = HCF(3588,1639) = HCF(5227,3588) = HCF(8815,5227) .
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Frequently Asked Questions on HCF of 5227, 8815 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 5227, 8815?
Answer: HCF of 5227, 8815 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5227, 8815 using Euclid's Algorithm?
Answer: For arbitrary numbers 5227, 8815 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.