Highest Common Factor of 2582, 7249, 43666 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 2582, 7249, 43666 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2582, 7249, 43666 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 2582, 7249, 43666 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 2582, 7249, 43666 is 1.
HCF(2582, 7249, 43666) = 1
HCF of 2582, 7249, 43666 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2582, 7249, 43666 is 1.
Highest Common Factor of 2582,7249,43666 is 1
Step 1: Since 7249 > 2582, we apply the division lemma to 7249 and 2582, to get
7249 = 2582 x 2 + 2085
Step 2: Since the reminder 2582 ≠ 0, we apply division lemma to 2085 and 2582, to get
2582 = 2085 x 1 + 497
Step 3: We consider the new divisor 2085 and the new remainder 497, and apply the division lemma to get
2085 = 497 x 4 + 97
We consider the new divisor 497 and the new remainder 97,and apply the division lemma to get
497 = 97 x 5 + 12
We consider the new divisor 97 and the new remainder 12,and apply the division lemma to get
97 = 12 x 8 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2582 and 7249 is 1
Notice that 1 = HCF(12,1) = HCF(97,12) = HCF(497,97) = HCF(2085,497) = HCF(2582,2085) = HCF(7249,2582) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 43666 > 1, we apply the division lemma to 43666 and 1, to get
43666 = 1 x 43666 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 43666 is 1
Notice that 1 = HCF(43666,1) .
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Frequently Asked Questions on HCF of 2582, 7249, 43666 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 2582, 7249, 43666?
Answer: HCF of 2582, 7249, 43666 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2582, 7249, 43666 using Euclid's Algorithm?
Answer: For arbitrary numbers 2582, 7249, 43666 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.