Highest Common Factor of 5227, 9722 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, 9722 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5227, 9722 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, 9722 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, 9722 is 1.
HCF(5227, 9722) = 1
HCF of 5227, 9722 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, 9722 is 1.
Highest Common Factor of 5227,9722 is 1
Step 1: Since 9722 > 5227, we apply the division lemma to 9722 and 5227, to get
9722 = 5227 x 1 + 4495
Step 2: Since the reminder 5227 ≠ 0, we apply division lemma to 4495 and 5227, to get
5227 = 4495 x 1 + 732
Step 3: We consider the new divisor 4495 and the new remainder 732, and apply the division lemma to get
4495 = 732 x 6 + 103
We consider the new divisor 732 and the new remainder 103,and apply the division lemma to get
732 = 103 x 7 + 11
We consider the new divisor 103 and the new remainder 11,and apply the division lemma to get
103 = 11 x 9 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 9722 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(103,11) = HCF(732,103) = HCF(4495,732) = HCF(5227,4495) = HCF(9722,5227) .
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Frequently Asked Questions on HCF of 5227, 9722 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, 9722?
Answer: HCF of 5227, 9722 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5227, 9722 using Euclid's Algorithm?
Answer: For arbitrary numbers 5227, 9722 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.