Highest Common Factor of 8249, 9695, 96472 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 8249, 9695, 96472 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8249, 9695, 96472 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 8249, 9695, 96472 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 8249, 9695, 96472 is 1.
HCF(8249, 9695, 96472) = 1
HCF of 8249, 9695, 96472 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8249, 9695, 96472 is 1.
Highest Common Factor of 8249,9695,96472 is 1
Step 1: Since 9695 > 8249, we apply the division lemma to 9695 and 8249, to get
9695 = 8249 x 1 + 1446
Step 2: Since the reminder 8249 ≠ 0, we apply division lemma to 1446 and 8249, to get
8249 = 1446 x 5 + 1019
Step 3: We consider the new divisor 1446 and the new remainder 1019, and apply the division lemma to get
1446 = 1019 x 1 + 427
We consider the new divisor 1019 and the new remainder 427,and apply the division lemma to get
1019 = 427 x 2 + 165
We consider the new divisor 427 and the new remainder 165,and apply the division lemma to get
427 = 165 x 2 + 97
We consider the new divisor 165 and the new remainder 97,and apply the division lemma to get
165 = 97 x 1 + 68
We consider the new divisor 97 and the new remainder 68,and apply the division lemma to get
97 = 68 x 1 + 29
We consider the new divisor 68 and the new remainder 29,and apply the division lemma to get
68 = 29 x 2 + 10
We consider the new divisor 29 and the new remainder 10,and apply the division lemma to get
29 = 10 x 2 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8249 and 9695 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(29,10) = HCF(68,29) = HCF(97,68) = HCF(165,97) = HCF(427,165) = HCF(1019,427) = HCF(1446,1019) = HCF(8249,1446) = HCF(9695,8249) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 96472 > 1, we apply the division lemma to 96472 and 1, to get
96472 = 1 x 96472 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 96472 is 1
Notice that 1 = HCF(96472,1) .
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Frequently Asked Questions on HCF of 8249, 9695, 96472 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 8249, 9695, 96472?
Answer: HCF of 8249, 9695, 96472 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8249, 9695, 96472 using Euclid's Algorithm?
Answer: For arbitrary numbers 8249, 9695, 96472 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.