Highest Common Factor of 7231, 4065 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 7231, 4065 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7231, 4065 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 7231, 4065 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 7231, 4065 is 1.
HCF(7231, 4065) = 1
HCF of 7231, 4065 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7231, 4065 is 1.
Highest Common Factor of 7231,4065 is 1
Step 1: Since 7231 > 4065, we apply the division lemma to 7231 and 4065, to get
7231 = 4065 x 1 + 3166
Step 2: Since the reminder 4065 ≠ 0, we apply division lemma to 3166 and 4065, to get
4065 = 3166 x 1 + 899
Step 3: We consider the new divisor 3166 and the new remainder 899, and apply the division lemma to get
3166 = 899 x 3 + 469
We consider the new divisor 899 and the new remainder 469,and apply the division lemma to get
899 = 469 x 1 + 430
We consider the new divisor 469 and the new remainder 430,and apply the division lemma to get
469 = 430 x 1 + 39
We consider the new divisor 430 and the new remainder 39,and apply the division lemma to get
430 = 39 x 11 + 1
We consider the new divisor 39 and the new remainder 1,and apply the division lemma to get
39 = 1 x 39 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7231 and 4065 is 1
Notice that 1 = HCF(39,1) = HCF(430,39) = HCF(469,430) = HCF(899,469) = HCF(3166,899) = HCF(4065,3166) = HCF(7231,4065) .
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Frequently Asked Questions on HCF of 7231, 4065 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 7231, 4065?
Answer: HCF of 7231, 4065 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7231, 4065 using Euclid's Algorithm?
Answer: For arbitrary numbers 7231, 4065 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.