Highest Common Factor of 9723, 8947 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 9723, 8947 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9723, 8947 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 9723, 8947 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 9723, 8947 is 1.
HCF(9723, 8947) = 1
HCF of 9723, 8947 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9723, 8947 is 1.
Highest Common Factor of 9723,8947 is 1
Step 1: Since 9723 > 8947, we apply the division lemma to 9723 and 8947, to get
9723 = 8947 x 1 + 776
Step 2: Since the reminder 8947 ≠ 0, we apply division lemma to 776 and 8947, to get
8947 = 776 x 11 + 411
Step 3: We consider the new divisor 776 and the new remainder 411, and apply the division lemma to get
776 = 411 x 1 + 365
We consider the new divisor 411 and the new remainder 365,and apply the division lemma to get
411 = 365 x 1 + 46
We consider the new divisor 365 and the new remainder 46,and apply the division lemma to get
365 = 46 x 7 + 43
We consider the new divisor 46 and the new remainder 43,and apply the division lemma to get
46 = 43 x 1 + 3
We consider the new divisor 43 and the new remainder 3,and apply the division lemma to get
43 = 3 x 14 + 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 9723 and 8947 is 1
Notice that 1 = HCF(3,1) = HCF(43,3) = HCF(46,43) = HCF(365,46) = HCF(411,365) = HCF(776,411) = HCF(8947,776) = HCF(9723,8947) .
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Frequently Asked Questions on HCF of 9723, 8947 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 9723, 8947?
Answer: HCF of 9723, 8947 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9723, 8947 using Euclid's Algorithm?
Answer: For arbitrary numbers 9723, 8947 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.