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 515, 46986 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 515, 46986 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 515, 46986 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 515, 46986 is 1.
HCF(515, 46986) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 515, 46986 is 1.
Step 1: Since 46986 > 515, we apply the division lemma to 46986 and 515, to get
46986 = 515 x 91 + 121
Step 2: Since the reminder 515 ≠ 0, we apply division lemma to 121 and 515, to get
515 = 121 x 4 + 31
Step 3: We consider the new divisor 121 and the new remainder 31, and apply the division lemma to get
121 = 31 x 3 + 28
We consider the new divisor 31 and the new remainder 28,and apply the division lemma to get
31 = 28 x 1 + 3
We consider the new divisor 28 and the new remainder 3,and apply the division lemma to get
28 = 3 x 9 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma 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 515 and 46986 is 1
Notice that 1 = HCF(3,1) = HCF(28,3) = HCF(31,28) = HCF(121,31) = HCF(515,121) = HCF(46986,515) .
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 515, 46986?
Answer: HCF of 515, 46986 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 515, 46986 using Euclid's Algorithm?
Answer: For arbitrary numbers 515, 46986 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.