Highest Common Factor of 5387, 8316 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 5387, 8316 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5387, 8316 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 5387, 8316 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 5387, 8316 is 1.
HCF(5387, 8316) = 1
HCF of 5387, 8316 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5387, 8316 is 1.
Highest Common Factor of 5387,8316 is 1
Step 1: Since 8316 > 5387, we apply the division lemma to 8316 and 5387, to get
8316 = 5387 x 1 + 2929
Step 2: Since the reminder 5387 ≠ 0, we apply division lemma to 2929 and 5387, to get
5387 = 2929 x 1 + 2458
Step 3: We consider the new divisor 2929 and the new remainder 2458, and apply the division lemma to get
2929 = 2458 x 1 + 471
We consider the new divisor 2458 and the new remainder 471,and apply the division lemma to get
2458 = 471 x 5 + 103
We consider the new divisor 471 and the new remainder 103,and apply the division lemma to get
471 = 103 x 4 + 59
We consider the new divisor 103 and the new remainder 59,and apply the division lemma to get
103 = 59 x 1 + 44
We consider the new divisor 59 and the new remainder 44,and apply the division lemma to get
59 = 44 x 1 + 15
We consider the new divisor 44 and the new remainder 15,and apply the division lemma to get
44 = 15 x 2 + 14
We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get
15 = 14 x 1 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5387 and 8316 is 1
Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(44,15) = HCF(59,44) = HCF(103,59) = HCF(471,103) = HCF(2458,471) = HCF(2929,2458) = HCF(5387,2929) = HCF(8316,5387) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5387, 8316 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 5387, 8316?
Answer: HCF of 5387, 8316 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5387, 8316 using Euclid's Algorithm?
Answer: For arbitrary numbers 5387, 8316 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.