Highest Common Factor of 536, 4669, 5381 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 536, 4669, 5381 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 536, 4669, 5381 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 536, 4669, 5381 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 536, 4669, 5381 is 1.
HCF(536, 4669, 5381) = 1
HCF of 536, 4669, 5381 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 536, 4669, 5381 is 1.
Highest Common Factor of 536,4669,5381 is 1
Step 1: Since 4669 > 536, we apply the division lemma to 4669 and 536, to get
4669 = 536 x 8 + 381
Step 2: Since the reminder 536 ≠ 0, we apply division lemma to 381 and 536, to get
536 = 381 x 1 + 155
Step 3: We consider the new divisor 381 and the new remainder 155, and apply the division lemma to get
381 = 155 x 2 + 71
We consider the new divisor 155 and the new remainder 71,and apply the division lemma to get
155 = 71 x 2 + 13
We consider the new divisor 71 and the new remainder 13,and apply the division lemma to get
71 = 13 x 5 + 6
We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get
13 = 6 x 2 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 536 and 4669 is 1
Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(71,13) = HCF(155,71) = HCF(381,155) = HCF(536,381) = HCF(4669,536) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5381 > 1, we apply the division lemma to 5381 and 1, to get
5381 = 1 x 5381 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5381 is 1
Notice that 1 = HCF(5381,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 536, 4669, 5381 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 536, 4669, 5381?
Answer: HCF of 536, 4669, 5381 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 536, 4669, 5381 using Euclid's Algorithm?
Answer: For arbitrary numbers 536, 4669, 5381 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.