Highest Common Factor of 4231, 3583 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 4231, 3583 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4231, 3583 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 4231, 3583 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 4231, 3583 is 1.
HCF(4231, 3583) = 1
HCF of 4231, 3583 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4231, 3583 is 1.
Highest Common Factor of 4231,3583 is 1
Step 1: Since 4231 > 3583, we apply the division lemma to 4231 and 3583, to get
4231 = 3583 x 1 + 648
Step 2: Since the reminder 3583 ≠ 0, we apply division lemma to 648 and 3583, to get
3583 = 648 x 5 + 343
Step 3: We consider the new divisor 648 and the new remainder 343, and apply the division lemma to get
648 = 343 x 1 + 305
We consider the new divisor 343 and the new remainder 305,and apply the division lemma to get
343 = 305 x 1 + 38
We consider the new divisor 305 and the new remainder 38,and apply the division lemma to get
305 = 38 x 8 + 1
We consider the new divisor 38 and the new remainder 1,and apply the division lemma to get
38 = 1 x 38 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4231 and 3583 is 1
Notice that 1 = HCF(38,1) = HCF(305,38) = HCF(343,305) = HCF(648,343) = HCF(3583,648) = HCF(4231,3583) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4231, 3583 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 4231, 3583?
Answer: HCF of 4231, 3583 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4231, 3583 using Euclid's Algorithm?
Answer: For arbitrary numbers 4231, 3583 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.