Highest Common Factor of 5454, 2180, 19638 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 5454, 2180, 19638 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5454, 2180, 19638 is 2 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 5454, 2180, 19638 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 5454, 2180, 19638 is 2.
HCF(5454, 2180, 19638) = 2
HCF of 5454, 2180, 19638 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5454, 2180, 19638 is 2.
Highest Common Factor of 5454,2180,19638 is 2
Step 1: Since 5454 > 2180, we apply the division lemma to 5454 and 2180, to get
5454 = 2180 x 2 + 1094
Step 2: Since the reminder 2180 ≠ 0, we apply division lemma to 1094 and 2180, to get
2180 = 1094 x 1 + 1086
Step 3: We consider the new divisor 1094 and the new remainder 1086, and apply the division lemma to get
1094 = 1086 x 1 + 8
We consider the new divisor 1086 and the new remainder 8,and apply the division lemma to get
1086 = 8 x 135 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5454 and 2180 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(1086,8) = HCF(1094,1086) = HCF(2180,1094) = HCF(5454,2180) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 19638 > 2, we apply the division lemma to 19638 and 2, to get
19638 = 2 x 9819 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 19638 is 2
Notice that 2 = HCF(19638,2) .
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Frequently Asked Questions on HCF of 5454, 2180, 19638 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 5454, 2180, 19638?
Answer: HCF of 5454, 2180, 19638 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5454, 2180, 19638 using Euclid's Algorithm?
Answer: For arbitrary numbers 5454, 2180, 19638 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.