Highest Common Factor of 8451, 9226 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 8451, 9226 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8451, 9226 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 8451, 9226 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 8451, 9226 is 1.
HCF(8451, 9226) = 1
HCF of 8451, 9226 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8451, 9226 is 1.
Highest Common Factor of 8451,9226 is 1
Step 1: Since 9226 > 8451, we apply the division lemma to 9226 and 8451, to get
9226 = 8451 x 1 + 775
Step 2: Since the reminder 8451 ≠ 0, we apply division lemma to 775 and 8451, to get
8451 = 775 x 10 + 701
Step 3: We consider the new divisor 775 and the new remainder 701, and apply the division lemma to get
775 = 701 x 1 + 74
We consider the new divisor 701 and the new remainder 74,and apply the division lemma to get
701 = 74 x 9 + 35
We consider the new divisor 74 and the new remainder 35,and apply the division lemma to get
74 = 35 x 2 + 4
We consider the new divisor 35 and the new remainder 4,and apply the division lemma to get
35 = 4 x 8 + 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 8451 and 9226 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(35,4) = HCF(74,35) = HCF(701,74) = HCF(775,701) = HCF(8451,775) = HCF(9226,8451) .
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Frequently Asked Questions on HCF of 8451, 9226 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 8451, 9226?
Answer: HCF of 8451, 9226 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8451, 9226 using Euclid's Algorithm?
Answer: For arbitrary numbers 8451, 9226 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.