Highest Common Factor of 8273, 7241 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 8273, 7241 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8273, 7241 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 8273, 7241 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 8273, 7241 is 1.
HCF(8273, 7241) = 1
HCF of 8273, 7241 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8273, 7241 is 1.
Highest Common Factor of 8273,7241 is 1
Step 1: Since 8273 > 7241, we apply the division lemma to 8273 and 7241, to get
8273 = 7241 x 1 + 1032
Step 2: Since the reminder 7241 ≠ 0, we apply division lemma to 1032 and 7241, to get
7241 = 1032 x 7 + 17
Step 3: We consider the new divisor 1032 and the new remainder 17, and apply the division lemma to get
1032 = 17 x 60 + 12
We consider the new divisor 17 and the new remainder 12,and apply the division lemma to get
17 = 12 x 1 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8273 and 7241 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(17,12) = HCF(1032,17) = HCF(7241,1032) = HCF(8273,7241) .
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Frequently Asked Questions on HCF of 8273, 7241 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 8273, 7241?
Answer: HCF of 8273, 7241 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8273, 7241 using Euclid's Algorithm?
Answer: For arbitrary numbers 8273, 7241 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.