Highest Common Factor of 6723, 9783 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 6723, 9783 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 6723, 9783 is 9 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 6723, 9783 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 6723, 9783 is 9.
HCF(6723, 9783) = 9
HCF of 6723, 9783 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6723, 9783 is 9.
Highest Common Factor of 6723,9783 is 9
Step 1: Since 9783 > 6723, we apply the division lemma to 9783 and 6723, to get
9783 = 6723 x 1 + 3060
Step 2: Since the reminder 6723 ≠ 0, we apply division lemma to 3060 and 6723, to get
6723 = 3060 x 2 + 603
Step 3: We consider the new divisor 3060 and the new remainder 603, and apply the division lemma to get
3060 = 603 x 5 + 45
We consider the new divisor 603 and the new remainder 45,and apply the division lemma to get
603 = 45 x 13 + 18
We consider the new divisor 45 and the new remainder 18,and apply the division lemma to get
45 = 18 x 2 + 9
We consider the new divisor 18 and the new remainder 9,and apply the division lemma to get
18 = 9 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 6723 and 9783 is 9
Notice that 9 = HCF(18,9) = HCF(45,18) = HCF(603,45) = HCF(3060,603) = HCF(6723,3060) = HCF(9783,6723) .
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Frequently Asked Questions on HCF of 6723, 9783 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 6723, 9783?
Answer: HCF of 6723, 9783 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6723, 9783 using Euclid's Algorithm?
Answer: For arbitrary numbers 6723, 9783 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.