Highest Common Factor of 5641, 8743 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 5641, 8743 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5641, 8743 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 5641, 8743 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 5641, 8743 is 1.
HCF(5641, 8743) = 1
HCF of 5641, 8743 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5641, 8743 is 1.
Highest Common Factor of 5641,8743 is 1
Step 1: Since 8743 > 5641, we apply the division lemma to 8743 and 5641, to get
8743 = 5641 x 1 + 3102
Step 2: Since the reminder 5641 ≠ 0, we apply division lemma to 3102 and 5641, to get
5641 = 3102 x 1 + 2539
Step 3: We consider the new divisor 3102 and the new remainder 2539, and apply the division lemma to get
3102 = 2539 x 1 + 563
We consider the new divisor 2539 and the new remainder 563,and apply the division lemma to get
2539 = 563 x 4 + 287
We consider the new divisor 563 and the new remainder 287,and apply the division lemma to get
563 = 287 x 1 + 276
We consider the new divisor 287 and the new remainder 276,and apply the division lemma to get
287 = 276 x 1 + 11
We consider the new divisor 276 and the new remainder 11,and apply the division lemma to get
276 = 11 x 25 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5641 and 8743 is 1
Notice that 1 = HCF(11,1) = HCF(276,11) = HCF(287,276) = HCF(563,287) = HCF(2539,563) = HCF(3102,2539) = HCF(5641,3102) = HCF(8743,5641) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5641, 8743 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 5641, 8743?
Answer: HCF of 5641, 8743 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5641, 8743 using Euclid's Algorithm?
Answer: For arbitrary numbers 5641, 8743 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.