Highest Common Factor of 5280, 3549 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 5280, 3549 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5280, 3549 is 3 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 5280, 3549 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 5280, 3549 is 3.
HCF(5280, 3549) = 3
HCF of 5280, 3549 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5280, 3549 is 3.
Highest Common Factor of 5280,3549 is 3
Step 1: Since 5280 > 3549, we apply the division lemma to 5280 and 3549, to get
5280 = 3549 x 1 + 1731
Step 2: Since the reminder 3549 ≠ 0, we apply division lemma to 1731 and 3549, to get
3549 = 1731 x 2 + 87
Step 3: We consider the new divisor 1731 and the new remainder 87, and apply the division lemma to get
1731 = 87 x 19 + 78
We consider the new divisor 87 and the new remainder 78,and apply the division lemma to get
87 = 78 x 1 + 9
We consider the new divisor 78 and the new remainder 9,and apply the division lemma to get
78 = 9 x 8 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5280 and 3549 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(78,9) = HCF(87,78) = HCF(1731,87) = HCF(3549,1731) = HCF(5280,3549) .
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Frequently Asked Questions on HCF of 5280, 3549 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 5280, 3549?
Answer: HCF of 5280, 3549 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5280, 3549 using Euclid's Algorithm?
Answer: For arbitrary numbers 5280, 3549 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.