Highest Common Factor of 9870, 8243, 63769 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 9870, 8243, 63769 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9870, 8243, 63769 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 9870, 8243, 63769 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 9870, 8243, 63769 is 1.
HCF(9870, 8243, 63769) = 1
HCF of 9870, 8243, 63769 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9870, 8243, 63769 is 1.
Highest Common Factor of 9870,8243,63769 is 1
Step 1: Since 9870 > 8243, we apply the division lemma to 9870 and 8243, to get
9870 = 8243 x 1 + 1627
Step 2: Since the reminder 8243 ≠ 0, we apply division lemma to 1627 and 8243, to get
8243 = 1627 x 5 + 108
Step 3: We consider the new divisor 1627 and the new remainder 108, and apply the division lemma to get
1627 = 108 x 15 + 7
We consider the new divisor 108 and the new remainder 7,and apply the division lemma to get
108 = 7 x 15 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 9870 and 8243 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(108,7) = HCF(1627,108) = HCF(8243,1627) = HCF(9870,8243) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 63769 > 1, we apply the division lemma to 63769 and 1, to get
63769 = 1 x 63769 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 63769 is 1
Notice that 1 = HCF(63769,1) .
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Frequently Asked Questions on HCF of 9870, 8243, 63769 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 9870, 8243, 63769?
Answer: HCF of 9870, 8243, 63769 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9870, 8243, 63769 using Euclid's Algorithm?
Answer: For arbitrary numbers 9870, 8243, 63769 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.