Highest Common Factor of 8913, 5763 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 8913, 5763 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 8913, 5763 is 3 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 8913, 5763 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 8913, 5763 is 3.
HCF(8913, 5763) = 3
HCF of 8913, 5763 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8913, 5763 is 3.
Highest Common Factor of 8913,5763 is 3
Step 1: Since 8913 > 5763, we apply the division lemma to 8913 and 5763, to get
8913 = 5763 x 1 + 3150
Step 2: Since the reminder 5763 ≠ 0, we apply division lemma to 3150 and 5763, to get
5763 = 3150 x 1 + 2613
Step 3: We consider the new divisor 3150 and the new remainder 2613, and apply the division lemma to get
3150 = 2613 x 1 + 537
We consider the new divisor 2613 and the new remainder 537,and apply the division lemma to get
2613 = 537 x 4 + 465
We consider the new divisor 537 and the new remainder 465,and apply the division lemma to get
537 = 465 x 1 + 72
We consider the new divisor 465 and the new remainder 72,and apply the division lemma to get
465 = 72 x 6 + 33
We consider the new divisor 72 and the new remainder 33,and apply the division lemma to get
72 = 33 x 2 + 6
We consider the new divisor 33 and the new remainder 6,and apply the division lemma to get
33 = 6 x 5 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8913 and 5763 is 3
Notice that 3 = HCF(6,3) = HCF(33,6) = HCF(72,33) = HCF(465,72) = HCF(537,465) = HCF(2613,537) = HCF(3150,2613) = HCF(5763,3150) = HCF(8913,5763) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8913, 5763 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 8913, 5763?
Answer: HCF of 8913, 5763 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8913, 5763 using Euclid's Algorithm?
Answer: For arbitrary numbers 8913, 5763 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
