Highest Common Factor of 5334, 5184 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 5334, 5184 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 5334, 5184 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 5334, 5184 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 5334, 5184 is 6.
HCF(5334, 5184) = 6
HCF of 5334, 5184 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5334, 5184 is 6.
Highest Common Factor of 5334,5184 is 6
Step 1: Since 5334 > 5184, we apply the division lemma to 5334 and 5184, to get
5334 = 5184 x 1 + 150
Step 2: Since the reminder 5184 ≠ 0, we apply division lemma to 150 and 5184, to get
5184 = 150 x 34 + 84
Step 3: We consider the new divisor 150 and the new remainder 84, and apply the division lemma to get
150 = 84 x 1 + 66
We consider the new divisor 84 and the new remainder 66,and apply the division lemma to get
84 = 66 x 1 + 18
We consider the new divisor 66 and the new remainder 18,and apply the division lemma to get
66 = 18 x 3 + 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 5334 and 5184 is 6
Notice that 6 = HCF(12,6) = HCF(18,12) = HCF(66,18) = HCF(84,66) = HCF(150,84) = HCF(5184,150) = HCF(5334,5184) .
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Frequently Asked Questions on HCF of 5334, 5184 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 5334, 5184?
Answer: HCF of 5334, 5184 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5334, 5184 using Euclid's Algorithm?
Answer: For arbitrary numbers 5334, 5184 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
