Highest Common Factor of 5849, 3695 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 5849, 3695 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5849, 3695 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 5849, 3695 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 5849, 3695 is 1.
HCF(5849, 3695) = 1
HCF of 5849, 3695 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5849, 3695 is 1.
Highest Common Factor of 5849,3695 is 1
Step 1: Since 5849 > 3695, we apply the division lemma to 5849 and 3695, to get
5849 = 3695 x 1 + 2154
Step 2: Since the reminder 3695 ≠ 0, we apply division lemma to 2154 and 3695, to get
3695 = 2154 x 1 + 1541
Step 3: We consider the new divisor 2154 and the new remainder 1541, and apply the division lemma to get
2154 = 1541 x 1 + 613
We consider the new divisor 1541 and the new remainder 613,and apply the division lemma to get
1541 = 613 x 2 + 315
We consider the new divisor 613 and the new remainder 315,and apply the division lemma to get
613 = 315 x 1 + 298
We consider the new divisor 315 and the new remainder 298,and apply the division lemma to get
315 = 298 x 1 + 17
We consider the new divisor 298 and the new remainder 17,and apply the division lemma to get
298 = 17 x 17 + 9
We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get
17 = 9 x 1 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5849 and 3695 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(298,17) = HCF(315,298) = HCF(613,315) = HCF(1541,613) = HCF(2154,1541) = HCF(3695,2154) = HCF(5849,3695) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5849, 3695 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 5849, 3695?
Answer: HCF of 5849, 3695 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5849, 3695 using Euclid's Algorithm?
Answer: For arbitrary numbers 5849, 3695 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.