Highest Common Factor of 7051, 6405 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 7051, 6405 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7051, 6405 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 7051, 6405 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 7051, 6405 is 1.
HCF(7051, 6405) = 1
HCF of 7051, 6405 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7051, 6405 is 1.
Highest Common Factor of 7051,6405 is 1
Step 1: Since 7051 > 6405, we apply the division lemma to 7051 and 6405, to get
7051 = 6405 x 1 + 646
Step 2: Since the reminder 6405 ≠ 0, we apply division lemma to 646 and 6405, to get
6405 = 646 x 9 + 591
Step 3: We consider the new divisor 646 and the new remainder 591, and apply the division lemma to get
646 = 591 x 1 + 55
We consider the new divisor 591 and the new remainder 55,and apply the division lemma to get
591 = 55 x 10 + 41
We consider the new divisor 55 and the new remainder 41,and apply the division lemma to get
55 = 41 x 1 + 14
We consider the new divisor 41 and the new remainder 14,and apply the division lemma to get
41 = 14 x 2 + 13
We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get
14 = 13 x 1 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7051 and 6405 is 1
Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(41,14) = HCF(55,41) = HCF(591,55) = HCF(646,591) = HCF(6405,646) = HCF(7051,6405) .
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Frequently Asked Questions on HCF of 7051, 6405 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 7051, 6405?
Answer: HCF of 7051, 6405 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7051, 6405 using Euclid's Algorithm?
Answer: For arbitrary numbers 7051, 6405 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
