Highest Common Factor of 4852, 9227 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 4852, 9227 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4852, 9227 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 4852, 9227 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 4852, 9227 is 1.
HCF(4852, 9227) = 1
HCF of 4852, 9227 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4852, 9227 is 1.
Highest Common Factor of 4852,9227 is 1
Step 1: Since 9227 > 4852, we apply the division lemma to 9227 and 4852, to get
9227 = 4852 x 1 + 4375
Step 2: Since the reminder 4852 ≠ 0, we apply division lemma to 4375 and 4852, to get
4852 = 4375 x 1 + 477
Step 3: We consider the new divisor 4375 and the new remainder 477, and apply the division lemma to get
4375 = 477 x 9 + 82
We consider the new divisor 477 and the new remainder 82,and apply the division lemma to get
477 = 82 x 5 + 67
We consider the new divisor 82 and the new remainder 67,and apply the division lemma to get
82 = 67 x 1 + 15
We consider the new divisor 67 and the new remainder 15,and apply the division lemma to get
67 = 15 x 4 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4852 and 9227 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(67,15) = HCF(82,67) = HCF(477,82) = HCF(4375,477) = HCF(4852,4375) = HCF(9227,4852) .
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Frequently Asked Questions on HCF of 4852, 9227 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 4852, 9227?
Answer: HCF of 4852, 9227 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4852, 9227 using Euclid's Algorithm?
Answer: For arbitrary numbers 4852, 9227 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
