Highest Common Factor of 3487, 9677 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 3487, 9677 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3487, 9677 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 3487, 9677 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 3487, 9677 is 1.
HCF(3487, 9677) = 1
HCF of 3487, 9677 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3487, 9677 is 1.
Highest Common Factor of 3487,9677 is 1
Step 1: Since 9677 > 3487, we apply the division lemma to 9677 and 3487, to get
9677 = 3487 x 2 + 2703
Step 2: Since the reminder 3487 ≠ 0, we apply division lemma to 2703 and 3487, to get
3487 = 2703 x 1 + 784
Step 3: We consider the new divisor 2703 and the new remainder 784, and apply the division lemma to get
2703 = 784 x 3 + 351
We consider the new divisor 784 and the new remainder 351,and apply the division lemma to get
784 = 351 x 2 + 82
We consider the new divisor 351 and the new remainder 82,and apply the division lemma to get
351 = 82 x 4 + 23
We consider the new divisor 82 and the new remainder 23,and apply the division lemma to get
82 = 23 x 3 + 13
We consider the new divisor 23 and the new remainder 13,and apply the division lemma to get
23 = 13 x 1 + 10
We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get
13 = 10 x 1 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3487 and 9677 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(23,13) = HCF(82,23) = HCF(351,82) = HCF(784,351) = HCF(2703,784) = HCF(3487,2703) = HCF(9677,3487) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3487, 9677 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 3487, 9677?
Answer: HCF of 3487, 9677 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3487, 9677 using Euclid's Algorithm?
Answer: For arbitrary numbers 3487, 9677 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.