Highest Common Factor of 7582, 4366 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 7582, 4366 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7582, 4366 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 7582, 4366 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 7582, 4366 is 2.
HCF(7582, 4366) = 2
HCF of 7582, 4366 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7582, 4366 is 2.
Highest Common Factor of 7582,4366 is 2
Step 1: Since 7582 > 4366, we apply the division lemma to 7582 and 4366, to get
7582 = 4366 x 1 + 3216
Step 2: Since the reminder 4366 ≠ 0, we apply division lemma to 3216 and 4366, to get
4366 = 3216 x 1 + 1150
Step 3: We consider the new divisor 3216 and the new remainder 1150, and apply the division lemma to get
3216 = 1150 x 2 + 916
We consider the new divisor 1150 and the new remainder 916,and apply the division lemma to get
1150 = 916 x 1 + 234
We consider the new divisor 916 and the new remainder 234,and apply the division lemma to get
916 = 234 x 3 + 214
We consider the new divisor 234 and the new remainder 214,and apply the division lemma to get
234 = 214 x 1 + 20
We consider the new divisor 214 and the new remainder 20,and apply the division lemma to get
214 = 20 x 10 + 14
We consider the new divisor 20 and the new remainder 14,and apply the division lemma to get
20 = 14 x 1 + 6
We consider the new divisor 14 and the new remainder 6,and apply the division lemma to get
14 = 6 x 2 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7582 and 4366 is 2
Notice that 2 = HCF(6,2) = HCF(14,6) = HCF(20,14) = HCF(214,20) = HCF(234,214) = HCF(916,234) = HCF(1150,916) = HCF(3216,1150) = HCF(4366,3216) = HCF(7582,4366) .
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Frequently Asked Questions on HCF of 7582, 4366 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 7582, 4366?
Answer: HCF of 7582, 4366 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7582, 4366 using Euclid's Algorithm?
Answer: For arbitrary numbers 7582, 4366 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.