Highest Common Factor of 7261, 9233 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 7261, 9233 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7261, 9233 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 7261, 9233 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 7261, 9233 is 1.
HCF(7261, 9233) = 1
HCF of 7261, 9233 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7261, 9233 is 1.
Highest Common Factor of 7261,9233 is 1
Step 1: Since 9233 > 7261, we apply the division lemma to 9233 and 7261, to get
9233 = 7261 x 1 + 1972
Step 2: Since the reminder 7261 ≠ 0, we apply division lemma to 1972 and 7261, to get
7261 = 1972 x 3 + 1345
Step 3: We consider the new divisor 1972 and the new remainder 1345, and apply the division lemma to get
1972 = 1345 x 1 + 627
We consider the new divisor 1345 and the new remainder 627,and apply the division lemma to get
1345 = 627 x 2 + 91
We consider the new divisor 627 and the new remainder 91,and apply the division lemma to get
627 = 91 x 6 + 81
We consider the new divisor 91 and the new remainder 81,and apply the division lemma to get
91 = 81 x 1 + 10
We consider the new divisor 81 and the new remainder 10,and apply the division lemma to get
81 = 10 x 8 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7261 and 9233 is 1
Notice that 1 = HCF(10,1) = HCF(81,10) = HCF(91,81) = HCF(627,91) = HCF(1345,627) = HCF(1972,1345) = HCF(7261,1972) = HCF(9233,7261) .
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Frequently Asked Questions on HCF of 7261, 9233 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 7261, 9233?
Answer: HCF of 7261, 9233 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7261, 9233 using Euclid's Algorithm?
Answer: For arbitrary numbers 7261, 9233 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.