Highest Common Factor of 8183, 3527 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 8183, 3527 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8183, 3527 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 8183, 3527 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 8183, 3527 is 1.
HCF(8183, 3527) = 1
HCF of 8183, 3527 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8183, 3527 is 1.
Highest Common Factor of 8183,3527 is 1
Step 1: Since 8183 > 3527, we apply the division lemma to 8183 and 3527, to get
8183 = 3527 x 2 + 1129
Step 2: Since the reminder 3527 ≠ 0, we apply division lemma to 1129 and 3527, to get
3527 = 1129 x 3 + 140
Step 3: We consider the new divisor 1129 and the new remainder 140, and apply the division lemma to get
1129 = 140 x 8 + 9
We consider the new divisor 140 and the new remainder 9,and apply the division lemma to get
140 = 9 x 15 + 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 8183 and 3527 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(140,9) = HCF(1129,140) = HCF(3527,1129) = HCF(8183,3527) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8183, 3527 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 8183, 3527?
Answer: HCF of 8183, 3527 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8183, 3527 using Euclid's Algorithm?
Answer: For arbitrary numbers 8183, 3527 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.