Highest Common Factor of 8249, 9570, 96977 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, 9570, 96977 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8249, 9570, 96977 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, 9570, 96977 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, 9570, 96977 is 1.
HCF(8249, 9570, 96977) = 1
HCF of 8249, 9570, 96977 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, 9570, 96977 is 1.
Highest Common Factor of 8249,9570,96977 is 1
Step 1: Since 9570 > 8249, we apply the division lemma to 9570 and 8249, to get
9570 = 8249 x 1 + 1321
Step 2: Since the reminder 8249 ≠ 0, we apply division lemma to 1321 and 8249, to get
8249 = 1321 x 6 + 323
Step 3: We consider the new divisor 1321 and the new remainder 323, and apply the division lemma to get
1321 = 323 x 4 + 29
We consider the new divisor 323 and the new remainder 29,and apply the division lemma to get
323 = 29 x 11 + 4
We consider the new divisor 29 and the new remainder 4,and apply the division lemma to get
29 = 4 x 7 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8249 and 9570 is 1
Notice that 1 = HCF(4,1) = HCF(29,4) = HCF(323,29) = HCF(1321,323) = HCF(8249,1321) = HCF(9570,8249) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 96977 > 1, we apply the division lemma to 96977 and 1, to get
96977 = 1 x 96977 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 96977 is 1
Notice that 1 = HCF(96977,1) .
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Frequently Asked Questions on HCF of 8249, 9570, 96977 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, 9570, 96977?
Answer: HCF of 8249, 9570, 96977 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8249, 9570, 96977 using Euclid's Algorithm?
Answer: For arbitrary numbers 8249, 9570, 96977 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
