Highest Common Factor of 6086, 7484, 43034 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 6086, 7484, 43034 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6086, 7484, 43034 is 2 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 6086, 7484, 43034 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 6086, 7484, 43034 is 2.
HCF(6086, 7484, 43034) = 2
HCF of 6086, 7484, 43034 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6086, 7484, 43034 is 2.
Highest Common Factor of 6086,7484,43034 is 2
Step 1: Since 7484 > 6086, we apply the division lemma to 7484 and 6086, to get
7484 = 6086 x 1 + 1398
Step 2: Since the reminder 6086 ≠ 0, we apply division lemma to 1398 and 6086, to get
6086 = 1398 x 4 + 494
Step 3: We consider the new divisor 1398 and the new remainder 494, and apply the division lemma to get
1398 = 494 x 2 + 410
We consider the new divisor 494 and the new remainder 410,and apply the division lemma to get
494 = 410 x 1 + 84
We consider the new divisor 410 and the new remainder 84,and apply the division lemma to get
410 = 84 x 4 + 74
We consider the new divisor 84 and the new remainder 74,and apply the division lemma to get
84 = 74 x 1 + 10
We consider the new divisor 74 and the new remainder 10,and apply the division lemma to get
74 = 10 x 7 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6086 and 7484 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(74,10) = HCF(84,74) = HCF(410,84) = HCF(494,410) = HCF(1398,494) = HCF(6086,1398) = HCF(7484,6086) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 43034 > 2, we apply the division lemma to 43034 and 2, to get
43034 = 2 x 21517 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 43034 is 2
Notice that 2 = HCF(43034,2) .
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Frequently Asked Questions on HCF of 6086, 7484, 43034 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 6086, 7484, 43034?
Answer: HCF of 6086, 7484, 43034 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6086, 7484, 43034 using Euclid's Algorithm?
Answer: For arbitrary numbers 6086, 7484, 43034 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.