Highest Common Factor of 4719, 4152, 40384 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 4719, 4152, 40384 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4719, 4152, 40384 is 1 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 4719, 4152, 40384 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 4719, 4152, 40384 is 1.
HCF(4719, 4152, 40384) = 1
HCF of 4719, 4152, 40384 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4719, 4152, 40384 is 1.
Highest Common Factor of 4719,4152,40384 is 1
Step 1: Since 4719 > 4152, we apply the division lemma to 4719 and 4152, to get
4719 = 4152 x 1 + 567
Step 2: Since the reminder 4152 ≠ 0, we apply division lemma to 567 and 4152, to get
4152 = 567 x 7 + 183
Step 3: We consider the new divisor 567 and the new remainder 183, and apply the division lemma to get
567 = 183 x 3 + 18
We consider the new divisor 183 and the new remainder 18,and apply the division lemma to get
183 = 18 x 10 + 3
We consider the new divisor 18 and the new remainder 3,and apply the division lemma to get
18 = 3 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4719 and 4152 is 3
Notice that 3 = HCF(18,3) = HCF(183,18) = HCF(567,183) = HCF(4152,567) = HCF(4719,4152) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 40384 > 3, we apply the division lemma to 40384 and 3, to get
40384 = 3 x 13461 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 40384 is 1
Notice that 1 = HCF(3,1) = HCF(40384,3) .
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Frequently Asked Questions on HCF of 4719, 4152, 40384 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 4719, 4152, 40384?
Answer: HCF of 4719, 4152, 40384 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4719, 4152, 40384 using Euclid's Algorithm?
Answer: For arbitrary numbers 4719, 4152, 40384 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
