Highest Common Factor of 4883, 8665 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 4883, 8665 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4883, 8665 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 4883, 8665 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 4883, 8665 is 1.
HCF(4883, 8665) = 1
HCF of 4883, 8665 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4883, 8665 is 1.
Highest Common Factor of 4883,8665 is 1
Step 1: Since 8665 > 4883, we apply the division lemma to 8665 and 4883, to get
8665 = 4883 x 1 + 3782
Step 2: Since the reminder 4883 ≠ 0, we apply division lemma to 3782 and 4883, to get
4883 = 3782 x 1 + 1101
Step 3: We consider the new divisor 3782 and the new remainder 1101, and apply the division lemma to get
3782 = 1101 x 3 + 479
We consider the new divisor 1101 and the new remainder 479,and apply the division lemma to get
1101 = 479 x 2 + 143
We consider the new divisor 479 and the new remainder 143,and apply the division lemma to get
479 = 143 x 3 + 50
We consider the new divisor 143 and the new remainder 50,and apply the division lemma to get
143 = 50 x 2 + 43
We consider the new divisor 50 and the new remainder 43,and apply the division lemma to get
50 = 43 x 1 + 7
We consider the new divisor 43 and the new remainder 7,and apply the division lemma to get
43 = 7 x 6 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4883 and 8665 is 1
Notice that 1 = HCF(7,1) = HCF(43,7) = HCF(50,43) = HCF(143,50) = HCF(479,143) = HCF(1101,479) = HCF(3782,1101) = HCF(4883,3782) = HCF(8665,4883) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4883, 8665 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 4883, 8665?
Answer: HCF of 4883, 8665 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4883, 8665 using Euclid's Algorithm?
Answer: For arbitrary numbers 4883, 8665 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.