Highest Common Factor of 5832, 9054 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 5832, 9054 i.e. 18 the largest integer that leaves a remainder zero for all numbers.
HCF of 5832, 9054 is 18 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 5832, 9054 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 5832, 9054 is 18.
HCF(5832, 9054) = 18
HCF of 5832, 9054 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5832, 9054 is 18.
Highest Common Factor of 5832,9054 is 18
Step 1: Since 9054 > 5832, we apply the division lemma to 9054 and 5832, to get
9054 = 5832 x 1 + 3222
Step 2: Since the reminder 5832 ≠ 0, we apply division lemma to 3222 and 5832, to get
5832 = 3222 x 1 + 2610
Step 3: We consider the new divisor 3222 and the new remainder 2610, and apply the division lemma to get
3222 = 2610 x 1 + 612
We consider the new divisor 2610 and the new remainder 612,and apply the division lemma to get
2610 = 612 x 4 + 162
We consider the new divisor 612 and the new remainder 162,and apply the division lemma to get
612 = 162 x 3 + 126
We consider the new divisor 162 and the new remainder 126,and apply the division lemma to get
162 = 126 x 1 + 36
We consider the new divisor 126 and the new remainder 36,and apply the division lemma to get
126 = 36 x 3 + 18
We consider the new divisor 36 and the new remainder 18,and apply the division lemma to get
36 = 18 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 18, the HCF of 5832 and 9054 is 18
Notice that 18 = HCF(36,18) = HCF(126,36) = HCF(162,126) = HCF(612,162) = HCF(2610,612) = HCF(3222,2610) = HCF(5832,3222) = HCF(9054,5832) .
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Frequently Asked Questions on HCF of 5832, 9054 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 5832, 9054?
Answer: HCF of 5832, 9054 is 18 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5832, 9054 using Euclid's Algorithm?
Answer: For arbitrary numbers 5832, 9054 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.