Highest Common Factor of 7301, 3793 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 7301, 3793 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7301, 3793 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 7301, 3793 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 7301, 3793 is 1.
HCF(7301, 3793) = 1
HCF of 7301, 3793 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7301, 3793 is 1.
Highest Common Factor of 7301,3793 is 1
Step 1: Since 7301 > 3793, we apply the division lemma to 7301 and 3793, to get
7301 = 3793 x 1 + 3508
Step 2: Since the reminder 3793 ≠ 0, we apply division lemma to 3508 and 3793, to get
3793 = 3508 x 1 + 285
Step 3: We consider the new divisor 3508 and the new remainder 285, and apply the division lemma to get
3508 = 285 x 12 + 88
We consider the new divisor 285 and the new remainder 88,and apply the division lemma to get
285 = 88 x 3 + 21
We consider the new divisor 88 and the new remainder 21,and apply the division lemma to get
88 = 21 x 4 + 4
We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get
21 = 4 x 5 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7301 and 3793 is 1
Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(88,21) = HCF(285,88) = HCF(3508,285) = HCF(3793,3508) = HCF(7301,3793) .
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Frequently Asked Questions on HCF of 7301, 3793 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 7301, 3793?
Answer: HCF of 7301, 3793 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7301, 3793 using Euclid's Algorithm?
Answer: For arbitrary numbers 7301, 3793 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.