Highest Common Factor of 7233, 9454 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 7233, 9454 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7233, 9454 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 7233, 9454 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 7233, 9454 is 1.
HCF(7233, 9454) = 1
HCF of 7233, 9454 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7233, 9454 is 1.
Highest Common Factor of 7233,9454 is 1
Step 1: Since 9454 > 7233, we apply the division lemma to 9454 and 7233, to get
9454 = 7233 x 1 + 2221
Step 2: Since the reminder 7233 ≠ 0, we apply division lemma to 2221 and 7233, to get
7233 = 2221 x 3 + 570
Step 3: We consider the new divisor 2221 and the new remainder 570, and apply the division lemma to get
2221 = 570 x 3 + 511
We consider the new divisor 570 and the new remainder 511,and apply the division lemma to get
570 = 511 x 1 + 59
We consider the new divisor 511 and the new remainder 59,and apply the division lemma to get
511 = 59 x 8 + 39
We consider the new divisor 59 and the new remainder 39,and apply the division lemma to get
59 = 39 x 1 + 20
We consider the new divisor 39 and the new remainder 20,and apply the division lemma to get
39 = 20 x 1 + 19
We consider the new divisor 20 and the new remainder 19,and apply the division lemma to get
20 = 19 x 1 + 1
We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7233 and 9454 is 1
Notice that 1 = HCF(19,1) = HCF(20,19) = HCF(39,20) = HCF(59,39) = HCF(511,59) = HCF(570,511) = HCF(2221,570) = HCF(7233,2221) = HCF(9454,7233) .
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Frequently Asked Questions on HCF of 7233, 9454 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 7233, 9454?
Answer: HCF of 7233, 9454 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7233, 9454 using Euclid's Algorithm?
Answer: For arbitrary numbers 7233, 9454 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.