Highest Common Factor of 6079, 3585 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 6079, 3585 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6079, 3585 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 6079, 3585 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 6079, 3585 is 1.
HCF(6079, 3585) = 1
HCF of 6079, 3585 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6079, 3585 is 1.
Highest Common Factor of 6079,3585 is 1
Step 1: Since 6079 > 3585, we apply the division lemma to 6079 and 3585, to get
6079 = 3585 x 1 + 2494
Step 2: Since the reminder 3585 ≠ 0, we apply division lemma to 2494 and 3585, to get
3585 = 2494 x 1 + 1091
Step 3: We consider the new divisor 2494 and the new remainder 1091, and apply the division lemma to get
2494 = 1091 x 2 + 312
We consider the new divisor 1091 and the new remainder 312,and apply the division lemma to get
1091 = 312 x 3 + 155
We consider the new divisor 312 and the new remainder 155,and apply the division lemma to get
312 = 155 x 2 + 2
We consider the new divisor 155 and the new remainder 2,and apply the division lemma to get
155 = 2 x 77 + 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 6079 and 3585 is 1
Notice that 1 = HCF(2,1) = HCF(155,2) = HCF(312,155) = HCF(1091,312) = HCF(2494,1091) = HCF(3585,2494) = HCF(6079,3585) .
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Frequently Asked Questions on HCF of 6079, 3585 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 6079, 3585?
Answer: HCF of 6079, 3585 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6079, 3585 using Euclid's Algorithm?
Answer: For arbitrary numbers 6079, 3585 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.