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 555, 15329 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 555, 15329 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 555, 15329 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 555, 15329 is 1.
HCF(555, 15329) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 555, 15329 is 1.
Step 1: Since 15329 > 555, we apply the division lemma to 15329 and 555, to get
15329 = 555 x 27 + 344
Step 2: Since the reminder 555 ≠ 0, we apply division lemma to 344 and 555, to get
555 = 344 x 1 + 211
Step 3: We consider the new divisor 344 and the new remainder 211, and apply the division lemma to get
344 = 211 x 1 + 133
We consider the new divisor 211 and the new remainder 133,and apply the division lemma to get
211 = 133 x 1 + 78
We consider the new divisor 133 and the new remainder 78,and apply the division lemma to get
133 = 78 x 1 + 55
We consider the new divisor 78 and the new remainder 55,and apply the division lemma to get
78 = 55 x 1 + 23
We consider the new divisor 55 and the new remainder 23,and apply the division lemma to get
55 = 23 x 2 + 9
We consider the new divisor 23 and the new remainder 9,and apply the division lemma to get
23 = 9 x 2 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 555 and 15329 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(23,9) = HCF(55,23) = HCF(78,55) = HCF(133,78) = HCF(211,133) = HCF(344,211) = HCF(555,344) = HCF(15329,555) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 555, 15329?
Answer: HCF of 555, 15329 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 555, 15329 using Euclid's Algorithm?
Answer: For arbitrary numbers 555, 15329 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.