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 3665, 5691 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3665, 5691 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 3665, 5691 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 3665, 5691 is 1.
HCF(3665, 5691) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3665, 5691 is 1.
Step 1: Since 5691 > 3665, we apply the division lemma to 5691 and 3665, to get
5691 = 3665 x 1 + 2026
Step 2: Since the reminder 3665 ≠ 0, we apply division lemma to 2026 and 3665, to get
3665 = 2026 x 1 + 1639
Step 3: We consider the new divisor 2026 and the new remainder 1639, and apply the division lemma to get
2026 = 1639 x 1 + 387
We consider the new divisor 1639 and the new remainder 387,and apply the division lemma to get
1639 = 387 x 4 + 91
We consider the new divisor 387 and the new remainder 91,and apply the division lemma to get
387 = 91 x 4 + 23
We consider the new divisor 91 and the new remainder 23,and apply the division lemma to get
91 = 23 x 3 + 22
We consider the new divisor 23 and the new remainder 22,and apply the division lemma to get
23 = 22 x 1 + 1
We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3665 and 5691 is 1
Notice that 1 = HCF(22,1) = HCF(23,22) = HCF(91,23) = HCF(387,91) = HCF(1639,387) = HCF(2026,1639) = HCF(3665,2026) = HCF(5691,3665) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 3665, 5691?
Answer: HCF of 3665, 5691 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3665, 5691 using Euclid's Algorithm?
Answer: For arbitrary numbers 3665, 5691 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.