Highest Common Factor of 5979, 8046 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 5979, 8046 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5979, 8046 is 3 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 5979, 8046 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 5979, 8046 is 3.
HCF(5979, 8046) = 3
HCF of 5979, 8046 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5979, 8046 is 3.
Highest Common Factor of 5979,8046 is 3
Step 1: Since 8046 > 5979, we apply the division lemma to 8046 and 5979, to get
8046 = 5979 x 1 + 2067
Step 2: Since the reminder 5979 ≠ 0, we apply division lemma to 2067 and 5979, to get
5979 = 2067 x 2 + 1845
Step 3: We consider the new divisor 2067 and the new remainder 1845, and apply the division lemma to get
2067 = 1845 x 1 + 222
We consider the new divisor 1845 and the new remainder 222,and apply the division lemma to get
1845 = 222 x 8 + 69
We consider the new divisor 222 and the new remainder 69,and apply the division lemma to get
222 = 69 x 3 + 15
We consider the new divisor 69 and the new remainder 15,and apply the division lemma to get
69 = 15 x 4 + 9
We consider the new divisor 15 and the new remainder 9,and apply the division lemma to get
15 = 9 x 1 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5979 and 8046 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(15,9) = HCF(69,15) = HCF(222,69) = HCF(1845,222) = HCF(2067,1845) = HCF(5979,2067) = HCF(8046,5979) .
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Frequently Asked Questions on HCF of 5979, 8046 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 5979, 8046?
Answer: HCF of 5979, 8046 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5979, 8046 using Euclid's Algorithm?
Answer: For arbitrary numbers 5979, 8046 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
