Highest Common Factor of 5814, 9444 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 5814, 9444 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 5814, 9444 is 6 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 5814, 9444 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 5814, 9444 is 6.
HCF(5814, 9444) = 6
HCF of 5814, 9444 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5814, 9444 is 6.
Highest Common Factor of 5814,9444 is 6
Step 1: Since 9444 > 5814, we apply the division lemma to 9444 and 5814, to get
9444 = 5814 x 1 + 3630
Step 2: Since the reminder 5814 ≠ 0, we apply division lemma to 3630 and 5814, to get
5814 = 3630 x 1 + 2184
Step 3: We consider the new divisor 3630 and the new remainder 2184, and apply the division lemma to get
3630 = 2184 x 1 + 1446
We consider the new divisor 2184 and the new remainder 1446,and apply the division lemma to get
2184 = 1446 x 1 + 738
We consider the new divisor 1446 and the new remainder 738,and apply the division lemma to get
1446 = 738 x 1 + 708
We consider the new divisor 738 and the new remainder 708,and apply the division lemma to get
738 = 708 x 1 + 30
We consider the new divisor 708 and the new remainder 30,and apply the division lemma to get
708 = 30 x 23 + 18
We consider the new divisor 30 and the new remainder 18,and apply the division lemma to get
30 = 18 x 1 + 12
We consider the new divisor 18 and the new remainder 12,and apply the division lemma to get
18 = 12 x 1 + 6
We consider the new divisor 12 and the new remainder 6,and apply the division lemma to get
12 = 6 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 5814 and 9444 is 6
Notice that 6 = HCF(12,6) = HCF(18,12) = HCF(30,18) = HCF(708,30) = HCF(738,708) = HCF(1446,738) = HCF(2184,1446) = HCF(3630,2184) = HCF(5814,3630) = HCF(9444,5814) .
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Frequently Asked Questions on HCF of 5814, 9444 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 5814, 9444?
Answer: HCF of 5814, 9444 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5814, 9444 using Euclid's Algorithm?
Answer: For arbitrary numbers 5814, 9444 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
