Highest Common Factor of 8641, 6192, 25566 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 8641, 6192, 25566 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8641, 6192, 25566 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 8641, 6192, 25566 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 8641, 6192, 25566 is 1.
HCF(8641, 6192, 25566) = 1
HCF of 8641, 6192, 25566 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8641, 6192, 25566 is 1.
Highest Common Factor of 8641,6192,25566 is 1
Step 1: Since 8641 > 6192, we apply the division lemma to 8641 and 6192, to get
8641 = 6192 x 1 + 2449
Step 2: Since the reminder 6192 ≠ 0, we apply division lemma to 2449 and 6192, to get
6192 = 2449 x 2 + 1294
Step 3: We consider the new divisor 2449 and the new remainder 1294, and apply the division lemma to get
2449 = 1294 x 1 + 1155
We consider the new divisor 1294 and the new remainder 1155,and apply the division lemma to get
1294 = 1155 x 1 + 139
We consider the new divisor 1155 and the new remainder 139,and apply the division lemma to get
1155 = 139 x 8 + 43
We consider the new divisor 139 and the new remainder 43,and apply the division lemma to get
139 = 43 x 3 + 10
We consider the new divisor 43 and the new remainder 10,and apply the division lemma to get
43 = 10 x 4 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8641 and 6192 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(43,10) = HCF(139,43) = HCF(1155,139) = HCF(1294,1155) = HCF(2449,1294) = HCF(6192,2449) = HCF(8641,6192) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 25566 > 1, we apply the division lemma to 25566 and 1, to get
25566 = 1 x 25566 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 25566 is 1
Notice that 1 = HCF(25566,1) .
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Frequently Asked Questions on HCF of 8641, 6192, 25566 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 8641, 6192, 25566?
Answer: HCF of 8641, 6192, 25566 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8641, 6192, 25566 using Euclid's Algorithm?
Answer: For arbitrary numbers 8641, 6192, 25566 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.