Highest Common Factor of 4151, 6579 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 4151, 6579 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4151, 6579 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 4151, 6579 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 4151, 6579 is 1.
HCF(4151, 6579) = 1
HCF of 4151, 6579 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4151, 6579 is 1.
Highest Common Factor of 4151,6579 is 1
Step 1: Since 6579 > 4151, we apply the division lemma to 6579 and 4151, to get
6579 = 4151 x 1 + 2428
Step 2: Since the reminder 4151 ≠ 0, we apply division lemma to 2428 and 4151, to get
4151 = 2428 x 1 + 1723
Step 3: We consider the new divisor 2428 and the new remainder 1723, and apply the division lemma to get
2428 = 1723 x 1 + 705
We consider the new divisor 1723 and the new remainder 705,and apply the division lemma to get
1723 = 705 x 2 + 313
We consider the new divisor 705 and the new remainder 313,and apply the division lemma to get
705 = 313 x 2 + 79
We consider the new divisor 313 and the new remainder 79,and apply the division lemma to get
313 = 79 x 3 + 76
We consider the new divisor 79 and the new remainder 76,and apply the division lemma to get
79 = 76 x 1 + 3
We consider the new divisor 76 and the new remainder 3,and apply the division lemma to get
76 = 3 x 25 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4151 and 6579 is 1
Notice that 1 = HCF(3,1) = HCF(76,3) = HCF(79,76) = HCF(313,79) = HCF(705,313) = HCF(1723,705) = HCF(2428,1723) = HCF(4151,2428) = HCF(6579,4151) .
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Frequently Asked Questions on HCF of 4151, 6579 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 4151, 6579?
Answer: HCF of 4151, 6579 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4151, 6579 using Euclid's Algorithm?
Answer: For arbitrary numbers 4151, 6579 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.